EduSahara™ Assignment
Name : Ogives
Chapter : Statistics
Grade : CBSE Grade X
License : Non Commercial Use
Question 1
1.
Less than cumulative curves are drawn using
  • (i)
    lower boundaries of classes and greater than cumulative frequencies
  • (ii)
    lower boundaries of classes and less than cumulative frequencies
  • (iii)
    mid values of classes and less than cumulative frequencies
  • (iv)
    upper boundaries of classes and less than cumulative frequencies
Question 2
2.
Greater than cumulative curves are drawn using
  • (i)
    upper boundaries of classes and greater than cumulative frequencies
  • (ii)
    mid values of classes and greater than cumulative frequencies
  • (iii)
    lower boundaries of classes and greater than cumulative frequencies
  • (iv)
    upper boundaries of classes and less than cumulative frequencies
Question 3
3.
Identify the frequency distribution table for the given ogive.
  • (i)
    Class-Interval
    18 - 27
    27 - 36
    36 - 45
    45 - 54
    54 - 63
    63 - 72
    72 - 81
    Frequency
    3
    13
    15
    13
    18
    19
    4
  • (ii)
    Class-Interval
    18 - 27
    27 - 36
    36 - 45
    45 - 54
    54 - 63
    63 - 72
    72 - 81
    Frequency
    19
    11
    3
    1
    3
    17
    13
  • (iii)
    Class-Interval
    18 - 27
    27 - 36
    36 - 45
    45 - 54
    54 - 63
    63 - 72
    72 - 81
    Frequency
    12
    18
    17
    10
    11
    11
    17
  • (iv)
    Class-Interval
    18 - 27
    27 - 36
    36 - 45
    45 - 54
    54 - 63
    63 - 72
    72 - 81
    Frequency
    18
    1
    2
    14
    18
    10
    16
  • (v)
    Class-Interval
    18 - 27
    27 - 36
    36 - 45
    45 - 54
    54 - 63
    63 - 72
    72 - 81
    Frequency
    19
    16
    4
    6
    17
    17
    1
Question 4
4.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Class-Interval
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    Frequency
    6
    7
    7
    5
    7
  • (ii)
    Class-Interval
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    Frequency
    11
    13
    18
    6
    14
  • (iii)
    Class-Interval
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    Frequency
    17
    4
    4
    4
    2
  • (iv)
    Class-Interval
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    Frequency
    7
    1
    4
    7
    2
  • (v)
    Class-Interval
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    Frequency
    19
    20
    19
    15
    8
Question 5
5.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Class-Interval
    10 - 16
    17 - 23
    24 - 30
    31 - 37
    38 - 44
    45 - 51
    Frequency
    3
    11
    17
    4
    6
    16
  • (ii)
    Class-Interval
    10 - 16
    17 - 23
    24 - 30
    31 - 37
    38 - 44
    45 - 51
    Frequency
    17
    14
    11
    20
    18
    13
  • (iii)
    Class-Interval
    10 - 16
    17 - 23
    24 - 30
    31 - 37
    38 - 44
    45 - 51
    Frequency
    9
    5
    11
    14
    16
    4
  • (iv)
    Class-Interval
    10 - 16
    17 - 23
    24 - 30
    31 - 37
    38 - 44
    45 - 51
    Frequency
    18
    17
    3
    5
    16
    6
  • (v)
    Class-Interval
    10 - 16
    17 - 23
    24 - 30
    31 - 37
    38 - 44
    45 - 51
    Frequency
    6
    3
    8
    11
    9
    3
Question 6
6.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Class-Interval
    16 - 22
    23 - 29
    30 - 36
    37 - 43
    44 - 50
    51 - 57
    58 - 64
    65 - 71
    Frequency
    7
    3
    16
    2
    6
    7
    18
    3
  • (ii)
    Class-Interval
    16 - 22
    23 - 29
    30 - 36
    37 - 43
    44 - 50
    51 - 57
    58 - 64
    65 - 71
    Frequency
    5
    10
    12
    1
    5
    17
    10
    9
  • (iii)
    Class-Interval
    16 - 22
    23 - 29
    30 - 36
    37 - 43
    44 - 50
    51 - 57
    58 - 64
    65 - 71
    Frequency
    9
    4
    4
    11
    7
    6
    10
    12
  • (iv)
    Class-Interval
    16 - 22
    23 - 29
    30 - 36
    37 - 43
    44 - 50
    51 - 57
    58 - 64
    65 - 71
    Frequency
    9
    9
    13
    5
    3
    20
    4
    13
  • (v)
    Class-Interval
    16 - 22
    23 - 29
    30 - 36
    37 - 43
    44 - 50
    51 - 57
    58 - 64
    65 - 71
    Frequency
    19
    3
    16
    13
    13
    16
    2
    17
Question 7
7.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Class-Interval
    18 - 25
    25 - 32
    32 - 39
    39 - 46
    46 - 53
    Frequency
    19
    18
    3
    3
    14
  • (ii)
    Class-Interval
    18 - 25
    25 - 32
    32 - 39
    39 - 46
    46 - 53
    Frequency
    11
    8
    10
    7
    5
  • (iii)
    Class-Interval
    18 - 25
    25 - 32
    32 - 39
    39 - 46
    46 - 53
    Frequency
    4
    3
    20
    19
    19
  • (iv)
    Class-Interval
    18 - 25
    25 - 32
    32 - 39
    39 - 46
    46 - 53
    Frequency
    17
    19
    11
    13
    13
  • (v)
    Class-Interval
    18 - 25
    25 - 32
    32 - 39
    39 - 46
    46 - 53
    Frequency
    2
    4
    17
    11
    6
Question 8
8.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Class-Interval
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    Frequency
    20
    6
    2
    18
    1
    17
  • (ii)
    Class-Interval
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    Frequency
    11
    16
    19
    3
    14
    17
  • (iii)
    Class-Interval
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    Frequency
    16
    5
    7
    1
    15
    2
  • (iv)
    Class-Interval
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    Frequency
    8
    9
    6
    6
    6
    6
  • (v)
    Class-Interval
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    40 - 46
    Frequency
    16
    18
    6
    6
    15
    2
Question 9
9.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Class-Interval
    15 - 25
    25 - 35
    35 - 45
    45 - 55
    55 - 65
    65 - 75
    75 - 85
    85 - 95
    Frequency
    7
    19
    16
    1
    8
    17
    12
    11
  • (ii)
    Class-Interval
    15 - 25
    25 - 35
    35 - 45
    45 - 55
    55 - 65
    65 - 75
    75 - 85
    85 - 95
    Frequency
    5
    7
    6
    8
    6
    3
    12
    5
  • (iii)
    Class-Interval
    15 - 25
    25 - 35
    35 - 45
    45 - 55
    55 - 65
    65 - 75
    75 - 85
    85 - 95
    Frequency
    15
    19
    8
    12
    6
    1
    7
    10
  • (iv)
    Class-Interval
    15 - 25
    25 - 35
    35 - 45
    45 - 55
    55 - 65
    65 - 75
    75 - 85
    85 - 95
    Frequency
    13
    16
    6
    9
    14
    8
    2
    3
  • (v)
    Class-Interval
    15 - 25
    25 - 35
    35 - 45
    45 - 55
    55 - 65
    65 - 75
    75 - 85
    85 - 95
    Frequency
    11
    15
    8
    17
    8
    7
    19
    12
Question 10
10.
    • The heights of 73 pupils in a school are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    123 - 133
    134 - 144
    145 - 155
    156 - 166
    167 - 177
    178 - 188
    189 - 199
    200 - 210
    No. of pupils
    10
    5
    6
    12
    13
    6
    11
    12
  • (ii)
    Height (in cm)
    123 - 133
    134 - 144
    145 - 155
    156 - 166
    167 - 177
    178 - 188
    189 - 199
    200 - 210
    No. of pupils
    10
    5
    6
    12
    11
    6
    11
    12
  • (iii)
    Height (in cm)
    123 - 133
    134 - 144
    145 - 155
    156 - 166
    167 - 177
    178 - 188
    189 - 199
    200 - 210
    No. of pupils
    10
    5
    3
    12
    11
    6
    11
    12
  • (iv)
    Height (in cm)
    123 - 133
    134 - 144
    145 - 155
    156 - 166
    167 - 177
    178 - 188
    189 - 199
    200 - 210
    No. of pupils
    10
    12
    6
    12
    11
    6
    11
    5
  • (v)
    Height (in cm)
    123 - 133
    134 - 144
    145 - 155
    156 - 166
    167 - 177
    178 - 188
    189 - 199
    200 - 210
    No. of pupils
    10
    5
    12
    6
    11
    6
    11
    12
Question 11
11.
    • The daily income of 56 workers of a factory is given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    5
    5
    10
    9
    7
    7
    5
    8
  • (ii)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    5
    8
    5
    9
    7
    7
    5
    5
  • (iii)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    5
    8
    9
    10
    7
    7
    5
    5
  • (iv)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    5
    8
    10
    9
    2
    7
    5
    5
  • (v)
    Daily income (in Rs)
    100 - 110
    110 - 120
    120 - 130
    130 - 140
    140 - 150
    150 - 160
    160 - 170
    170 - 180
    No. of workers
    5
    8
    10
    9
    7
    7
    5
    5
Question 12
12.
    • The Marks obtained by 61 students of a class in an examination is given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Marks
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of students
    6
    10
    10
    7
    5
    10
    5
    8
  • (ii)
    Marks
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of students
    6
    10
    7
    10
    5
    10
    5
    8
  • (iii)
    Marks
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of students
    6
    10
    7
    10
    10
    10
    5
    8
  • (iv)
    Marks
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of students
    6
    8
    7
    10
    5
    10
    5
    10
  • (v)
    Marks
    5 - 10
    10 - 15
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of students
    6
    10
    11
    10
    5
    10
    5
    8
Question 13
13.
    • The production yield in kg per hectare of wheat of 54 farms of a village is given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Production yield (in kg/ha)
    65 - 73
    73 - 81
    81 - 89
    89 - 97
    97 - 105
    105 - 113
    113 - 121
    Number of farms
    6
    5
    10
    5
    10
    10
    8
  • (ii)
    Production yield (in kg/ha)
    65 - 73
    73 - 81
    81 - 89
    89 - 97
    97 - 105
    105 - 113
    113 - 121
    Number of farms
    6
    8
    12
    5
    10
    10
    5
  • (iii)
    Production yield (in kg/ha)
    65 - 73
    73 - 81
    81 - 89
    89 - 97
    97 - 105
    105 - 113
    113 - 121
    Number of farms
    6
    8
    10
    5
    10
    10
    5
  • (iv)
    Production yield (in kg/ha)
    65 - 73
    73 - 81
    81 - 89
    89 - 97
    97 - 105
    105 - 113
    113 - 121
    Number of farms
    6
    10
    8
    5
    10
    10
    5
  • (v)
    Production yield (in kg/ha)
    65 - 73
    73 - 81
    81 - 89
    89 - 97
    97 - 105
    105 - 113
    113 - 121
    Number of farms
    6
    8
    10
    2
    10
    10
    5
Question 14
14.
    • The Marks obtained by 39 students of a class in an examination is given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Marks
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    6
    8
    5
    5
    10
    5
  • (ii)
    Marks
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    6
    5
    5
    5
    10
    8
  • (iii)
    Marks
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    6
    5
    7
    5
    10
    8
  • (iv)
    Marks
    10 - 20
    20 - 30
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    No. of students
    6
    5
    5
    9
    10
    8
Question 15
15.
    • Heights of 99 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    122 - 131
    131 - 140
    140 - 149
    149 - 158
    158 - 167
    167 - 176
    176 - 185
    No. of students
    20
    7
    11
    19
    8
    20
    14
  • (ii)
    Height (in cm)
    122 - 131
    131 - 140
    140 - 149
    149 - 158
    158 - 167
    167 - 176
    176 - 185
    No. of students
    20
    14
    16
    19
    8
    20
    7
  • (iii)
    Height (in cm)
    122 - 131
    131 - 140
    140 - 149
    149 - 158
    158 - 167
    167 - 176
    176 - 185
    No. of students
    20
    14
    11
    23
    8
    20
    7
  • (iv)
    Height (in cm)
    122 - 131
    131 - 140
    140 - 149
    149 - 158
    158 - 167
    167 - 176
    176 - 185
    No. of students
    20
    11
    14
    19
    8
    20
    7
  • (v)
    Height (in cm)
    122 - 131
    131 - 140
    140 - 149
    149 - 158
    158 - 167
    167 - 176
    176 - 185
    No. of students
    20
    14
    11
    19
    8
    20
    7
Question 16
16.
    • Heights of 75 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    124 - 132
    133 - 141
    142 - 150
    151 - 159
    160 - 168
    No. of students
    11
    15
    15
    18
    13
  • (ii)
    Height (in cm)
    124 - 132
    133 - 141
    142 - 150
    151 - 159
    160 - 168
    No. of students
    11
    18
    10
    18
    13
  • (iii)
    Height (in cm)
    124 - 132
    133 - 141
    142 - 150
    151 - 159
    160 - 168
    No. of students
    11
    15
    18
    18
    13
  • (iv)
    Height (in cm)
    124 - 132
    133 - 141
    142 - 150
    151 - 159
    160 - 168
    No. of students
    11
    13
    15
    18
    18
  • (v)
    Height (in cm)
    124 - 132
    133 - 141
    142 - 150
    151 - 159
    160 - 168
    No. of students
    11
    18
    15
    18
    13
Question 17
17.
    • Heights of 114 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Height (in cm)
    129 - 134
    134 - 139
    139 - 144
    144 - 149
    149 - 154
    154 - 159
    159 - 164
    164 - 169
    No. of students
    18
    19
    16
    8
    14
    11
    18
    10
  • (ii)
    Height (in cm)
    129 - 134
    134 - 139
    139 - 144
    144 - 149
    149 - 154
    154 - 159
    159 - 164
    164 - 169
    No. of students
    18
    19
    8
    16
    14
    11
    18
    10
  • (iii)
    Height (in cm)
    129 - 134
    134 - 139
    139 - 144
    144 - 149
    149 - 154
    154 - 159
    159 - 164
    164 - 169
    No. of students
    18
    19
    10
    16
    14
    11
    18
    10
  • (iv)
    Height (in cm)
    129 - 134
    134 - 139
    139 - 144
    144 - 149
    149 - 154
    154 - 159
    159 - 164
    164 - 169
    No. of students
    18
    19
    8
    16
    9
    11
    18
    10
  • (v)
    Height (in cm)
    129 - 134
    134 - 139
    139 - 144
    144 - 149
    149 - 154
    154 - 159
    159 - 164
    164 - 169
    No. of students
    18
    10
    8
    16
    14
    11
    18
    19
Question 18
18.
    • Heights of 110 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Height (in cm)
    130 - 135
    136 - 141
    142 - 147
    148 - 153
    154 - 159
    160 - 165
    166 - 171
    172 - 177
    No. of students
    15
    11
    14
    6
    12
    14
    15
    19
  • (ii)
    Height (in cm)
    130 - 135
    136 - 141
    142 - 147
    148 - 153
    154 - 159
    160 - 165
    166 - 171
    172 - 177
    No. of students
    15
    19
    18
    6
    12
    14
    15
    11
  • (iii)
    Height (in cm)
    130 - 135
    136 - 141
    142 - 147
    148 - 153
    154 - 159
    160 - 165
    166 - 171
    172 - 177
    No. of students
    15
    11
    18
    6
    12
    14
    15
    19
  • (iv)
    Height (in cm)
    130 - 135
    136 - 141
    142 - 147
    148 - 153
    154 - 159
    160 - 165
    166 - 171
    172 - 177
    No. of students
    15
    11
    6
    18
    12
    14
    15
    19
  • (v)
    Height (in cm)
    130 - 135
    136 - 141
    142 - 147
    148 - 153
    154 - 159
    160 - 165
    166 - 171
    172 - 177
    No. of students
    15
    11
    18
    6
    14
    14
    15
    19
Question 19
19.
    • Heights of 57 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Height (in cm)
    128 - 135
    135 - 142
    142 - 149
    149 - 156
    156 - 163
    No. of students
    10
    11
    8
    16
    7
  • (ii)
    Height (in cm)
    128 - 135
    135 - 142
    142 - 149
    149 - 156
    156 - 163
    No. of students
    10
    8
    16
    16
    7
  • (iii)
    Height (in cm)
    128 - 135
    135 - 142
    142 - 149
    149 - 156
    156 - 163
    No. of students
    10
    16
    8
    16
    7
  • (iv)
    Height (in cm)
    128 - 135
    135 - 142
    142 - 149
    149 - 156
    156 - 163
    No. of students
    10
    16
    4
    16
    7
  • (v)
    Height (in cm)
    128 - 135
    135 - 142
    142 - 149
    149 - 156
    156 - 163
    No. of students
    10
    7
    8
    16
    16
Question 20
20.
    • Heights of 60 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Height (in cm)
    120 - 125
    126 - 131
    132 - 137
    138 - 143
    144 - 149
    150 - 155
    No. of students
    16
    12
    14
    6
    5
    7
  • (ii)
    Height (in cm)
    120 - 125
    126 - 131
    132 - 137
    138 - 143
    144 - 149
    150 - 155
    No. of students
    16
    7
    12
    6
    5
    14
  • (iii)
    Height (in cm)
    120 - 125
    126 - 131
    132 - 137
    138 - 143
    144 - 149
    150 - 155
    No. of students
    16
    14
    17
    6
    5
    7
  • (iv)
    Height (in cm)
    120 - 125
    126 - 131
    132 - 137
    138 - 143
    144 - 149
    150 - 155
    No. of students
    16
    14
    12
    2
    5
    7
  • (v)
    Height (in cm)
    120 - 125
    126 - 131
    132 - 137
    138 - 143
    144 - 149
    150 - 155
    No. of students
    16
    14
    12
    6
    5
    7
Question 21
21.
    • Heights of 88 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    54 - 64
    64 - 74
    74 - 84
    84 - 94
    94 - 104
    104 - 114
    114 - 124
    124 - 134
    No. of plants
    7
    18
    13
    6
    5
    20
    14
    5
  • (ii)
    Height (in cm)
    54 - 64
    64 - 74
    74 - 84
    84 - 94
    94 - 104
    104 - 114
    114 - 124
    124 - 134
    No. of plants
    7
    5
    6
    13
    5
    20
    14
    18
  • (iii)
    Height (in cm)
    54 - 64
    64 - 74
    74 - 84
    84 - 94
    94 - 104
    104 - 114
    114 - 124
    124 - 134
    No. of plants
    7
    5
    13
    6
    1
    20
    14
    18
  • (iv)
    Height (in cm)
    54 - 64
    64 - 74
    74 - 84
    84 - 94
    94 - 104
    104 - 114
    114 - 124
    124 - 134
    No. of plants
    7
    5
    13
    6
    5
    20
    14
    18
  • (v)
    Height (in cm)
    54 - 64
    64 - 74
    74 - 84
    84 - 94
    94 - 104
    104 - 114
    114 - 124
    124 - 134
    No. of plants
    7
    5
    17
    6
    5
    20
    14
    18
Question 22
22.
    • Heights of 54 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    67 - 76
    77 - 86
    87 - 96
    97 - 106
    107 - 116
    117 - 126
    No. of plants
    16
    9
    8
    5
    5
    11
  • (ii)
    Height (in cm)
    67 - 76
    77 - 86
    87 - 96
    97 - 106
    107 - 116
    117 - 126
    No. of plants
    16
    8
    9
    5
    5
    11
  • (iii)
    Height (in cm)
    67 - 76
    77 - 86
    87 - 96
    97 - 106
    107 - 116
    117 - 126
    No. of plants
    16
    11
    8
    5
    5
    9
  • (iv)
    Height (in cm)
    67 - 76
    77 - 86
    87 - 96
    97 - 106
    107 - 116
    117 - 126
    No. of plants
    16
    9
    13
    5
    5
    11
  • (v)
    Height (in cm)
    67 - 76
    77 - 86
    87 - 96
    97 - 106
    107 - 116
    117 - 126
    No. of plants
    16
    9
    8
    8
    5
    11
Question 23
23.
    • Heights of 82 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Height (in cm)
    63 - 72
    72 - 81
    81 - 90
    90 - 99
    99 - 108
    108 - 117
    No. of plants
    7
    9
    17
    22
    16
    15
  • (ii)
    Height (in cm)
    63 - 72
    72 - 81
    81 - 90
    90 - 99
    99 - 108
    108 - 117
    No. of plants
    7
    15
    17
    18
    16
    9
  • (iii)
    Height (in cm)
    63 - 72
    72 - 81
    81 - 90
    90 - 99
    99 - 108
    108 - 117
    No. of plants
    7
    9
    13
    18
    16
    15
  • (iv)
    Height (in cm)
    63 - 72
    72 - 81
    81 - 90
    90 - 99
    99 - 108
    108 - 117
    No. of plants
    7
    9
    17
    18
    16
    15
  • (v)
    Height (in cm)
    63 - 72
    72 - 81
    81 - 90
    90 - 99
    99 - 108
    108 - 117
    No. of plants
    7
    17
    9
    18
    16
    15
Question 24
24.
    • Heights of 71 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Height (in cm)
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    114 - 121
    No. of plants
    6
    14
    15
    6
    14
    7
    9
  • (ii)
    Height (in cm)
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    114 - 121
    No. of plants
    6
    15
    10
    6
    14
    7
    9
  • (iii)
    Height (in cm)
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    114 - 121
    No. of plants
    6
    15
    14
    9
    14
    7
    9
  • (iv)
    Height (in cm)
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    114 - 121
    No. of plants
    6
    9
    14
    6
    14
    7
    15
  • (v)
    Height (in cm)
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    114 - 121
    No. of plants
    6
    15
    14
    6
    14
    7
    9
Question 25
25.
    • Heights of 67 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Height (in cm)
    56 - 61
    61 - 66
    66 - 71
    71 - 76
    76 - 81
    No. of plants
    13
    20
    15
    7
    15
  • (ii)
    Height (in cm)
    56 - 61
    61 - 66
    66 - 71
    71 - 76
    76 - 81
    No. of plants
    13
    17
    15
    7
    15
  • (iii)
    Height (in cm)
    56 - 61
    61 - 66
    66 - 71
    71 - 76
    76 - 81
    No. of plants
    13
    17
    20
    7
    15
  • (iv)
    Height (in cm)
    56 - 61
    61 - 66
    66 - 71
    71 - 76
    76 - 81
    No. of plants
    13
    15
    15
    7
    17
  • (v)
    Height (in cm)
    56 - 61
    61 - 66
    66 - 71
    71 - 76
    76 - 81
    No. of plants
    13
    15
    17
    7
    15
Question 26
26.
    • Heights of 72 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Height (in cm)
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    101 - 108
    109 - 116
    117 - 124
    No. of plants
    11
    7
    16
    5
    10
    12
    11
  • (ii)
    Height (in cm)
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    101 - 108
    109 - 116
    117 - 124
    No. of plants
    11
    11
    16
    1
    10
    12
    7
  • (iii)
    Height (in cm)
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    101 - 108
    109 - 116
    117 - 124
    No. of plants
    11
    16
    11
    5
    10
    12
    7
  • (iv)
    Height (in cm)
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    101 - 108
    109 - 116
    117 - 124
    No. of plants
    11
    11
    16
    5
    10
    12
    7
  • (v)
    Height (in cm)
    69 - 76
    77 - 84
    85 - 92
    93 - 100
    101 - 108
    109 - 116
    117 - 124
    No. of plants
    11
    11
    20
    5
    10
    12
    7
Question 27
27.
    • Ages of 74 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    No. of students
    20
    6
    17
    17
    14
  • (ii)
    Age (in years)
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    No. of students
    20
    14
    12
    17
    6
  • (iii)
    Age (in years)
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    No. of students
    20
    17
    14
    17
    6
  • (iv)
    Age (in years)
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    No. of students
    20
    19
    17
    17
    6
  • (v)
    Age (in years)
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    No. of students
    20
    14
    17
    17
    6
Question 28
28.
    • Ages of 77 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    No. of students
    17
    14
    16
    13
    8
    9
  • (ii)
    Age (in years)
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    No. of students
    17
    14
    12
    13
    8
    9
  • (iii)
    Age (in years)
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    No. of students
    17
    9
    16
    13
    8
    14
  • (iv)
    Age (in years)
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    No. of students
    17
    14
    16
    9
    8
    9
  • (v)
    Age (in years)
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    No. of students
    17
    16
    14
    13
    8
    9
Question 29
29.
    • Ages of 84 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Age (in years)
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    31 - 36
    36 - 41
    41 - 46
    No. of students
    5
    16
    21
    11
    19
    5
    11
  • (ii)
    Age (in years)
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    31 - 36
    36 - 41
    41 - 46
    No. of students
    5
    11
    17
    11
    19
    5
    16
  • (iii)
    Age (in years)
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    31 - 36
    36 - 41
    41 - 46
    No. of students
    5
    16
    17
    11
    19
    5
    11
  • (iv)
    Age (in years)
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    31 - 36
    36 - 41
    41 - 46
    No. of students
    5
    17
    16
    11
    19
    5
    11
  • (v)
    Age (in years)
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    31 - 36
    36 - 41
    41 - 46
    No. of students
    5
    16
    17
    6
    19
    5
    11
Question 30
30.
    • Ages of 96 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Age (in years)
    20 - 28
    29 - 37
    38 - 46
    47 - 55
    56 - 64
    65 - 73
    74 - 82
    No. of students
    11
    20
    18
    6
    14
    17
    10
  • (ii)
    Age (in years)
    20 - 28
    29 - 37
    38 - 46
    47 - 55
    56 - 64
    65 - 73
    74 - 82
    No. of students
    11
    20
    18
    4
    14
    17
    10
  • (iii)
    Age (in years)
    20 - 28
    29 - 37
    38 - 46
    47 - 55
    56 - 64
    65 - 73
    74 - 82
    No. of students
    11
    18
    20
    6
    14
    17
    10
  • (iv)
    Age (in years)
    20 - 28
    29 - 37
    38 - 46
    47 - 55
    56 - 64
    65 - 73
    74 - 82
    No. of students
    11
    20
    15
    6
    14
    17
    10
  • (v)
    Age (in years)
    20 - 28
    29 - 37
    38 - 46
    47 - 55
    56 - 64
    65 - 73
    74 - 82
    No. of students
    11
    10
    18
    6
    14
    17
    20
Question 31
31.
    • Ages of 66 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Age (in years)
    19 - 26
    26 - 33
    33 - 40
    40 - 47
    47 - 54
    54 - 61
    No. of students
    10
    17
    7
    5
    16
    11
  • (ii)
    Age (in years)
    19 - 26
    26 - 33
    33 - 40
    40 - 47
    47 - 54
    54 - 61
    No. of students
    10
    11
    7
    1
    16
    17
  • (iii)
    Age (in years)
    19 - 26
    26 - 33
    33 - 40
    40 - 47
    47 - 54
    54 - 61
    No. of students
    10
    11
    2
    5
    16
    17
  • (iv)
    Age (in years)
    19 - 26
    26 - 33
    33 - 40
    40 - 47
    47 - 54
    54 - 61
    No. of students
    10
    11
    7
    5
    16
    17
  • (v)
    Age (in years)
    19 - 26
    26 - 33
    33 - 40
    40 - 47
    47 - 54
    54 - 61
    No. of students
    10
    7
    11
    5
    16
    17
Question 32
32.
    • Ages of 71 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Age (in years)
    17 - 25
    26 - 34
    35 - 43
    44 - 52
    53 - 61
    No. of students
    14
    17
    2
    19
    16
  • (ii)
    Age (in years)
    17 - 25
    26 - 34
    35 - 43
    44 - 52
    53 - 61
    No. of students
    14
    17
    5
    19
    16
  • (iii)
    Age (in years)
    17 - 25
    26 - 34
    35 - 43
    44 - 52
    53 - 61
    No. of students
    14
    19
    5
    19
    16
  • (iv)
    Age (in years)
    17 - 25
    26 - 34
    35 - 43
    44 - 52
    53 - 61
    No. of students
    14
    5
    17
    19
    16
  • (v)
    Age (in years)
    17 - 25
    26 - 34
    35 - 43
    44 - 52
    53 - 61
    No. of students
    14
    16
    5
    19
    17
Question 33
33.
    • Scores of 48 students are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Score
    74 - 82
    82 - 90
    90 - 98
    98 - 106
    106 - 114
    No. of students
    6
    5
    10
    12
    15
  • (ii)
    Score
    74 - 82
    82 - 90
    90 - 98
    98 - 106
    106 - 114
    No. of students
    6
    6
    5
    12
    15
  • (iii)
    Score
    74 - 82
    82 - 90
    90 - 98
    98 - 106
    106 - 114
    No. of students
    6
    15
    5
    12
    10
  • (iv)
    Score
    74 - 82
    82 - 90
    90 - 98
    98 - 106
    106 - 114
    No. of students
    6
    10
    5
    12
    15
  • (v)
    Score
    74 - 82
    82 - 90
    90 - 98
    98 - 106
    106 - 114
    No. of students
    6
    10
    2
    12
    15
Question 34
34.
    • Scores of 73 students are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Score
    71 - 79
    79 - 87
    87 - 95
    95 - 103
    103 - 111
    No. of students
    19
    17
    18
    14
    5
  • (ii)
    Score
    71 - 79
    79 - 87
    87 - 95
    95 - 103
    103 - 111
    No. of students
    19
    2
    18
    14
    17
  • (iii)
    Score
    71 - 79
    79 - 87
    87 - 95
    95 - 103
    103 - 111
    No. of students
    19
    5
    18
    14
    17
  • (iv)
    Score
    71 - 79
    79 - 87
    87 - 95
    95 - 103
    103 - 111
    No. of students
    19
    18
    5
    14
    17
  • (v)
    Score
    71 - 79
    79 - 87
    87 - 95
    95 - 103
    103 - 111
    No. of students
    19
    5
    23
    14
    17
Question 35
35.
    • Scores of 121 students are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Score
    73 - 81
    81 - 89
    89 - 97
    97 - 105
    105 - 113
    113 - 121
    121 - 129
    129 - 137
    No. of students
    20
    10
    15
    17
    20
    14
    5
    20
  • (ii)
    Score
    73 - 81
    81 - 89
    89 - 97
    97 - 105
    105 - 113
    113 - 121
    121 - 129
    129 - 137
    No. of students
    20
    10
    20
    15
    20
    14
    5
    20
  • (iii)
    Score
    73 - 81
    81 - 89
    89 - 97
    97 - 105
    105 - 113
    113 - 121
    121 - 129
    129 - 137
    No. of students
    20
    10
    17
    15
    20
    14
    5
    20
  • (iv)
    Score
    73 - 81
    81 - 89
    89 - 97
    97 - 105
    105 - 113
    113 - 121
    121 - 129
    129 - 137
    No. of students
    20
    20
    17
    15
    20
    14
    5
    10
  • (v)
    Score
    73 - 81
    81 - 89
    89 - 97
    97 - 105
    105 - 113
    113 - 121
    121 - 129
    129 - 137
    No. of students
    20
    10
    17
    15
    18
    14
    5
    20
Question 36
36.
    • Temperatures of 72 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Temperature (in degree)
    26 - 35
    35 - 44
    44 - 53
    53 - 62
    62 - 71
    71 - 80
    No. of days
    13
    10
    14
    5
    18
    12
  • (ii)
    Temperature (in degree)
    26 - 35
    35 - 44
    44 - 53
    53 - 62
    62 - 71
    71 - 80
    No. of days
    13
    10
    11
    5
    18
    12
  • (iii)
    Temperature (in degree)
    26 - 35
    35 - 44
    44 - 53
    53 - 62
    62 - 71
    71 - 80
    No. of days
    13
    10
    14
    10
    18
    12
  • (iv)
    Temperature (in degree)
    26 - 35
    35 - 44
    44 - 53
    53 - 62
    62 - 71
    71 - 80
    No. of days
    13
    12
    14
    5
    18
    10
  • (v)
    Temperature (in degree)
    26 - 35
    35 - 44
    44 - 53
    53 - 62
    62 - 71
    71 - 80
    No. of days
    13
    14
    10
    5
    18
    12
Question 37
37.
    • Temperatures of 114 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Temperature (in degree)
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    70 - 76
    77 - 83
    84 - 90
    No. of days
    13
    10
    9
    17
    15
    10
    16
    20
  • (ii)
    Temperature (in degree)
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    70 - 76
    77 - 83
    84 - 90
    No. of days
    13
    10
    17
    13
    15
    10
    16
    20
  • (iii)
    Temperature (in degree)
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    70 - 76
    77 - 83
    84 - 90
    No. of days
    13
    10
    13
    17
    15
    10
    16
    20
  • (iv)
    Temperature (in degree)
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    70 - 76
    77 - 83
    84 - 90
    No. of days
    13
    20
    13
    17
    15
    10
    16
    10
  • (v)
    Temperature (in degree)
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    70 - 76
    77 - 83
    84 - 90
    No. of days
    13
    10
    13
    17
    17
    10
    16
    20
Question 38
38.
    • Temperatures of 92 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Temperature (in degree)
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    No. of days
    5
    5
    20
    16
    19
    12
    15
  • (ii)
    Temperature (in degree)
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    No. of days
    5
    20
    15
    16
    19
    12
    5
  • (iii)
    Temperature (in degree)
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    No. of days
    5
    15
    20
    16
    19
    12
    5
  • (iv)
    Temperature (in degree)
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    No. of days
    5
    15
    20
    20
    19
    12
    5
  • (v)
    Temperature (in degree)
    30 - 37
    37 - 44
    44 - 51
    51 - 58
    58 - 65
    65 - 72
    72 - 79
    No. of days
    5
    15
    16
    16
    19
    12
    5
Question 39
39.
    • Temperatures of 105 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Temperature (in degree)
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    94 - 103
    No. of days
    15
    12
    20
    20
    15
    13
    10
  • (ii)
    Temperature (in degree)
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    94 - 103
    No. of days
    15
    12
    16
    20
    15
    13
    10
  • (iii)
    Temperature (in degree)
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    94 - 103
    No. of days
    15
    12
    20
    22
    15
    13
    10
  • (iv)
    Temperature (in degree)
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    94 - 103
    No. of days
    15
    10
    20
    20
    15
    13
    12
  • (v)
    Temperature (in degree)
    34 - 43
    44 - 53
    54 - 63
    64 - 73
    74 - 83
    84 - 93
    94 - 103
    No. of days
    15
    20
    12
    20
    15
    13
    10
Question 40
40.
    • Temperatures of 113 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Temperature (in degree)
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    74 - 82
    82 - 90
    No. of days
    20
    14
    10
    18
    9
    17
    16
    9
  • (ii)
    Temperature (in degree)
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    74 - 82
    82 - 90
    No. of days
    20
    14
    18
    10
    9
    17
    16
    9
  • (iii)
    Temperature (in degree)
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    74 - 82
    82 - 90
    No. of days
    20
    14
    10
    18
    6
    17
    16
    9
  • (iv)
    Temperature (in degree)
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    74 - 82
    82 - 90
    No. of days
    20
    9
    10
    18
    9
    17
    16
    14
  • (v)
    Temperature (in degree)
    26 - 34
    34 - 42
    42 - 50
    50 - 58
    58 - 66
    66 - 74
    74 - 82
    82 - 90
    No. of days
    20
    14
    13
    18
    9
    17
    16
    9
Question 41
41.
    • Temperatures of 124 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Temperature (in degree)
    29 - 39
    40 - 50
    51 - 61
    62 - 72
    73 - 83
    84 - 94
    95 - 105
    106 - 116
    No. of days
    20
    18
    13
    18
    17
    18
    12
    8
  • (ii)
    Temperature (in degree)
    29 - 39
    40 - 50
    51 - 61
    62 - 72
    73 - 83
    84 - 94
    95 - 105
    106 - 116
    No. of days
    20
    18
    13
    18
    20
    18
    12
    8
  • (iii)
    Temperature (in degree)
    29 - 39
    40 - 50
    51 - 61
    62 - 72
    73 - 83
    84 - 94
    95 - 105
    106 - 116
    No. of days
    20
    8
    13
    18
    17
    18
    12
    18
  • (iv)
    Temperature (in degree)
    29 - 39
    40 - 50
    51 - 61
    62 - 72
    73 - 83
    84 - 94
    95 - 105
    106 - 116
    No. of days
    20
    18
    15
    18
    17
    18
    12
    8
  • (v)
    Temperature (in degree)
    29 - 39
    40 - 50
    51 - 61
    62 - 72
    73 - 83
    84 - 94
    95 - 105
    106 - 116
    No. of days
    20
    18
    18
    13
    17
    18
    12
    8
Question 42
42.
    • Weights of 70 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Weight (in kg)
    43 - 48
    48 - 53
    53 - 58
    58 - 63
    63 - 68
    No. of students
    13
    15
    13
    13
    16
  • (ii)
    Weight (in kg)
    43 - 48
    48 - 53
    53 - 58
    58 - 63
    63 - 68
    No. of students
    13
    13
    16
    13
    15
  • (iii)
    Weight (in kg)
    43 - 48
    48 - 53
    53 - 58
    58 - 63
    63 - 68
    No. of students
    13
    12
    13
    13
    15
  • (iv)
    Weight (in kg)
    43 - 48
    48 - 53
    53 - 58
    58 - 63
    63 - 68
    No. of students
    13
    16
    13
    13
    15
  • (v)
    Weight (in kg)
    43 - 48
    48 - 53
    53 - 58
    58 - 63
    63 - 68
    No. of students
    13
    16
    16
    13
    15
Question 43
43.
    • Weights of 81 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Weight (in kg)
    60 - 67
    68 - 75
    76 - 83
    84 - 91
    92 - 99
    100 - 107
    No. of students
    5
    19
    14
    13
    20
    13
  • (ii)
    Weight (in kg)
    60 - 67
    68 - 75
    76 - 83
    84 - 91
    92 - 99
    100 - 107
    No. of students
    5
    14
    19
    10
    20
    13
  • (iii)
    Weight (in kg)
    60 - 67
    68 - 75
    76 - 83
    84 - 91
    92 - 99
    100 - 107
    No. of students
    5
    19
    14
    10
    20
    13
  • (iv)
    Weight (in kg)
    60 - 67
    68 - 75
    76 - 83
    84 - 91
    92 - 99
    100 - 107
    No. of students
    5
    19
    16
    10
    20
    13
  • (v)
    Weight (in kg)
    60 - 67
    68 - 75
    76 - 83
    84 - 91
    92 - 99
    100 - 107
    No. of students
    5
    13
    14
    10
    20
    19
Question 44
44.
    • Weights of 61 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Weight (in kg)
    51 - 61
    61 - 71
    71 - 81
    81 - 91
    91 - 101
    101 - 111
    111 - 121
    No. of students
    18
    6
    7
    9
    5
    11
    5
  • (ii)
    Weight (in kg)
    51 - 61
    61 - 71
    71 - 81
    81 - 91
    91 - 101
    101 - 111
    111 - 121
    No. of students
    18
    7
    1
    9
    5
    11
    5
  • (iii)
    Weight (in kg)
    51 - 61
    61 - 71
    71 - 81
    81 - 91
    91 - 101
    101 - 111
    111 - 121
    No. of students
    18
    5
    6
    9
    5
    11
    7
  • (iv)
    Weight (in kg)
    51 - 61
    61 - 71
    71 - 81
    81 - 91
    91 - 101
    101 - 111
    111 - 121
    No. of students
    18
    7
    6
    9
    5
    11
    5
  • (v)
    Weight (in kg)
    51 - 61
    61 - 71
    71 - 81
    81 - 91
    91 - 101
    101 - 111
    111 - 121
    No. of students
    18
    7
    6
    12
    5
    11
    5
Question 45
45.
    • Weights of 75 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Weight (in kg)
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    83 - 90
    No. of students
    16
    19
    9
    6
    18
    7
  • (ii)
    Weight (in kg)
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    83 - 90
    No. of students
    16
    9
    19
    6
    18
    7
  • (iii)
    Weight (in kg)
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    83 - 90
    No. of students
    16
    9
    24
    6
    18
    7
  • (iv)
    Weight (in kg)
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    83 - 90
    No. of students
    16
    9
    19
    10
    18
    7
  • (v)
    Weight (in kg)
    43 - 50
    51 - 58
    59 - 66
    67 - 74
    75 - 82
    83 - 90
    No. of students
    16
    7
    19
    6
    18
    9
Question 46
46.
    • Weights of 65 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Weight (in kg)
    48 - 53
    53 - 58
    58 - 63
    63 - 68
    68 - 73
    No. of students
    20
    7
    9
    12
    17
  • (ii)
    Weight (in kg)
    48 - 53
    53 - 58
    58 - 63
    63 - 68
    68 - 73
    No. of students
    20
    17
    9
    12
    7
  • (iii)
    Weight (in kg)
    48 - 53
    53 - 58
    58 - 63
    63 - 68
    68 - 73
    No. of students
    20
    17
    13
    12
    7
  • (iv)
    Weight (in kg)
    48 - 53
    53 - 58
    58 - 63
    63 - 68
    68 - 73
    No. of students
    20
    9
    17
    12
    7
  • (v)
    Weight (in kg)
    48 - 53
    53 - 58
    58 - 63
    63 - 68
    68 - 73
    No. of students
    20
    15
    9
    12
    7
Question 47
47.
    • Weights of 52 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Weight (in kg)
    55 - 62
    63 - 70
    71 - 78
    79 - 86
    87 - 94
    95 - 102
    No. of students
    10
    9
    6
    10
    7
    6
  • (ii)
    Weight (in kg)
    55 - 62
    63 - 70
    71 - 78
    79 - 86
    87 - 94
    95 - 102
    No. of students
    10
    6
    10
    10
    7
    9
  • (iii)
    Weight (in kg)
    55 - 62
    63 - 70
    71 - 78
    79 - 86
    87 - 94
    95 - 102
    No. of students
    10
    9
    10
    8
    7
    6
  • (iv)
    Weight (in kg)
    55 - 62
    63 - 70
    71 - 78
    79 - 86
    87 - 94
    95 - 102
    No. of students
    10
    9
    10
    10
    7
    6
  • (v)
    Weight (in kg)
    55 - 62
    63 - 70
    71 - 78
    79 - 86
    87 - 94
    95 - 102
    No. of students
    10
    10
    9
    10
    7
    6
Question 48
48.
    • Rainfall of 104 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    5 - 15
    15 - 25
    25 - 35
    35 - 45
    45 - 55
    55 - 65
    65 - 75
    75 - 85
    No. of days
    11
    15
    13
    15
    10
    13
    13
    14
  • (ii)
    Rainfall (in mm)
    5 - 15
    15 - 25
    25 - 35
    35 - 45
    45 - 55
    55 - 65
    65 - 75
    75 - 85
    No. of days
    11
    15
    15
    13
    10
    13
    13
    14
  • (iii)
    Rainfall (in mm)
    5 - 15
    15 - 25
    25 - 35
    35 - 45
    45 - 55
    55 - 65
    65 - 75
    75 - 85
    No. of days
    11
    15
    18
    13
    10
    13
    13
    14
  • (iv)
    Rainfall (in mm)
    5 - 15
    15 - 25
    25 - 35
    35 - 45
    45 - 55
    55 - 65
    65 - 75
    75 - 85
    No. of days
    11
    14
    15
    13
    10
    13
    13
    15
  • (v)
    Rainfall (in mm)
    5 - 15
    15 - 25
    25 - 35
    35 - 45
    45 - 55
    55 - 65
    65 - 75
    75 - 85
    No. of days
    11
    15
    15
    13
    12
    13
    13
    14
Question 49
49.
    • Rainfall of 93 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    14 - 24
    25 - 35
    36 - 46
    47 - 57
    58 - 68
    69 - 79
    80 - 90
    No. of days
    13
    7
    18
    13
    12
    14
    18
  • (ii)
    Rainfall (in mm)
    14 - 24
    25 - 35
    36 - 46
    47 - 57
    58 - 68
    69 - 79
    80 - 90
    No. of days
    13
    7
    16
    13
    12
    14
    18
  • (iii)
    Rainfall (in mm)
    14 - 24
    25 - 35
    36 - 46
    47 - 57
    58 - 68
    69 - 79
    80 - 90
    No. of days
    13
    16
    7
    13
    12
    14
    18
  • (iv)
    Rainfall (in mm)
    14 - 24
    25 - 35
    36 - 46
    47 - 57
    58 - 68
    69 - 79
    80 - 90
    No. of days
    13
    18
    16
    13
    12
    14
    7
  • (v)
    Rainfall (in mm)
    14 - 24
    25 - 35
    36 - 46
    47 - 57
    58 - 68
    69 - 79
    80 - 90
    No. of days
    13
    7
    16
    18
    12
    14
    18
Question 50
50.
    • Rainfall of 72 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    13 - 18
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    38 - 43
    43 - 48
    No. of days
    8
    5
    14
    13
    14
    11
    5
  • (ii)
    Rainfall (in mm)
    13 - 18
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    38 - 43
    43 - 48
    No. of days
    8
    14
    5
    15
    14
    11
    5
  • (iii)
    Rainfall (in mm)
    13 - 18
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    38 - 43
    43 - 48
    No. of days
    8
    5
    19
    15
    14
    11
    5
  • (iv)
    Rainfall (in mm)
    13 - 18
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    38 - 43
    43 - 48
    No. of days
    8
    5
    14
    15
    14
    11
    5
Question 51
51.
    • Rainfall of 86 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    5 - 12
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    61 - 68
    No. of days
    14
    16
    12
    6
    9
    7
    15
    7
  • (ii)
    Rainfall (in mm)
    5 - 12
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    61 - 68
    No. of days
    14
    7
    17
    6
    9
    7
    15
    16
  • (iii)
    Rainfall (in mm)
    5 - 12
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    61 - 68
    No. of days
    14
    7
    12
    6
    9
    7
    15
    16
  • (iv)
    Rainfall (in mm)
    5 - 12
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    61 - 68
    No. of days
    14
    7
    12
    6
    11
    7
    15
    16
  • (v)
    Rainfall (in mm)
    5 - 12
    13 - 20
    21 - 28
    29 - 36
    37 - 44
    45 - 52
    53 - 60
    61 - 68
    No. of days
    14
    7
    6
    12
    9
    7
    15
    16
Question 52
52.
    • Rainfall of 69 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Rainfall (in mm)
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of days
    14
    17
    13
    12
    11
    7
  • (ii)
    Rainfall (in mm)
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of days
    14
    13
    17
    7
    11
    7
  • (iii)
    Rainfall (in mm)
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of days
    14
    17
    13
    7
    11
    7
  • (iv)
    Rainfall (in mm)
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of days
    14
    7
    13
    7
    11
    17
  • (v)
    Rainfall (in mm)
    15 - 20
    20 - 25
    25 - 30
    30 - 35
    35 - 40
    40 - 45
    No. of days
    14
    17
    18
    7
    11
    7
Question 53
53.
    • Rainfall of 76 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Rainfall (in mm)
    7 - 15
    16 - 24
    25 - 33
    34 - 42
    43 - 51
    52 - 60
    61 - 69
    No. of days
    20
    6
    5
    7
    9
    13
    16
  • (ii)
    Rainfall (in mm)
    7 - 15
    16 - 24
    25 - 33
    34 - 42
    43 - 51
    52 - 60
    61 - 69
    No. of days
    20
    6
    5
    3
    9
    13
    16
  • (iii)
    Rainfall (in mm)
    7 - 15
    16 - 24
    25 - 33
    34 - 42
    43 - 51
    52 - 60
    61 - 69
    No. of days
    20
    5
    6
    7
    9
    13
    16
  • (iv)
    Rainfall (in mm)
    7 - 15
    16 - 24
    25 - 33
    34 - 42
    43 - 51
    52 - 60
    61 - 69
    No. of days
    20
    16
    5
    7
    9
    13
    6
  • (v)
    Rainfall (in mm)
    7 - 15
    16 - 24
    25 - 33
    34 - 42
    43 - 51
    52 - 60
    61 - 69
    No. of days
    20
    6
    10
    7
    9
    13
    16
Question 54
54.
    • Daily wages of 88 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    279 - 289
    289 - 299
    299 - 309
    309 - 319
    319 - 329
    329 - 339
    No. of labourers
    18
    19
    19
    12
    12
    10
  • (ii)
    Daily wage (in Rs)
    279 - 289
    289 - 299
    299 - 309
    309 - 319
    319 - 329
    329 - 339
    No. of labourers
    18
    17
    19
    12
    12
    10
  • (iii)
    Daily wage (in Rs)
    279 - 289
    289 - 299
    299 - 309
    309 - 319
    319 - 329
    329 - 339
    No. of labourers
    18
    19
    17
    12
    12
    10
  • (iv)
    Daily wage (in Rs)
    279 - 289
    289 - 299
    299 - 309
    309 - 319
    319 - 329
    329 - 339
    No. of labourers
    18
    10
    17
    12
    12
    19
  • (v)
    Daily wage (in Rs)
    279 - 289
    289 - 299
    299 - 309
    309 - 319
    319 - 329
    329 - 339
    No. of labourers
    18
    19
    17
    17
    12
    10
Question 55
55.
    • Daily wages of 65 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    255 - 265
    266 - 276
    277 - 287
    288 - 298
    299 - 309
    310 - 320
    No. of labourers
    20
    5
    5
    10
    9
    16
  • (ii)
    Daily wage (in Rs)
    255 - 265
    266 - 276
    277 - 287
    288 - 298
    299 - 309
    310 - 320
    No. of labourers
    20
    16
    5
    13
    9
    5
  • (iii)
    Daily wage (in Rs)
    255 - 265
    266 - 276
    277 - 287
    288 - 298
    299 - 309
    310 - 320
    No. of labourers
    20
    5
    16
    10
    9
    5
  • (iv)
    Daily wage (in Rs)
    255 - 265
    266 - 276
    277 - 287
    288 - 298
    299 - 309
    310 - 320
    No. of labourers
    20
    16
    5
    10
    9
    5
  • (v)
    Daily wage (in Rs)
    255 - 265
    266 - 276
    277 - 287
    288 - 298
    299 - 309
    310 - 320
    No. of labourers
    20
    16
    3
    10
    9
    5
Question 56
56.
    • Daily wages of 78 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    268 - 273
    273 - 278
    278 - 283
    283 - 288
    288 - 293
    293 - 298
    298 - 303
    303 - 308
    No. of labourers
    8
    6
    5
    12
    16
    13
    12
    6
  • (ii)
    Daily wage (in Rs)
    268 - 273
    273 - 278
    278 - 283
    283 - 288
    288 - 293
    293 - 298
    298 - 303
    303 - 308
    No. of labourers
    8
    6
    9
    5
    16
    13
    12
    6
  • (iii)
    Daily wage (in Rs)
    268 - 273
    273 - 278
    278 - 283
    283 - 288
    288 - 293
    293 - 298
    298 - 303
    303 - 308
    No. of labourers
    8
    6
    12
    5
    16
    13
    12
    6
  • (iv)
    Daily wage (in Rs)
    268 - 273
    273 - 278
    278 - 283
    283 - 288
    288 - 293
    293 - 298
    298 - 303
    303 - 308
    No. of labourers
    8
    6
    12
    5
    12
    13
    12
    6
Question 57
57.
    • Daily wages of 68 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • more than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    225 - 232
    233 - 240
    241 - 248
    249 - 256
    257 - 264
    265 - 272
    No. of labourers
    7
    18
    24
    5
    5
    13
  • (ii)
    Daily wage (in Rs)
    225 - 232
    233 - 240
    241 - 248
    249 - 256
    257 - 264
    265 - 272
    No. of labourers
    7
    20
    18
    5
    5
    13
  • (iii)
    Daily wage (in Rs)
    225 - 232
    233 - 240
    241 - 248
    249 - 256
    257 - 264
    265 - 272
    No. of labourers
    7
    18
    20
    10
    5
    13
  • (iv)
    Daily wage (in Rs)
    225 - 232
    233 - 240
    241 - 248
    249 - 256
    257 - 264
    265 - 272
    No. of labourers
    7
    18
    20
    5
    5
    13
  • (v)
    Daily wage (in Rs)
    225 - 232
    233 - 240
    241 - 248
    249 - 256
    257 - 264
    265 - 272
    No. of labourers
    7
    13
    20
    5
    5
    18
Question 58
58.
    • Daily wages of 66 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    200 - 207
    207 - 214
    214 - 221
    221 - 228
    228 - 235
    235 - 242
    No. of labourers
    14
    15
    13
    14
    6
    6
  • (ii)
    Daily wage (in Rs)
    200 - 207
    207 - 214
    214 - 221
    221 - 228
    228 - 235
    235 - 242
    No. of labourers
    14
    15
    11
    14
    6
    6
  • (iii)
    Daily wage (in Rs)
    200 - 207
    207 - 214
    214 - 221
    221 - 228
    228 - 235
    235 - 242
    No. of labourers
    14
    15
    11
    16
    6
    6
  • (iv)
    Daily wage (in Rs)
    200 - 207
    207 - 214
    214 - 221
    221 - 228
    228 - 235
    235 - 242
    No. of labourers
    14
    6
    11
    14
    6
    15
  • (v)
    Daily wage (in Rs)
    200 - 207
    207 - 214
    214 - 221
    221 - 228
    228 - 235
    235 - 242
    No. of labourers
    14
    11
    15
    14
    6
    6
Question 59
59.
    • Daily wages of 91 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • median
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    285 - 292
    293 - 300
    301 - 308
    309 - 316
    317 - 324
    325 - 332
    333 - 340
    No. of labourers
    18
    5
    16
    24
    11
    5
    17
  • (ii)
    Daily wage (in Rs)
    285 - 292
    293 - 300
    301 - 308
    309 - 316
    317 - 324
    325 - 332
    333 - 340
    No. of labourers
    18
    16
    5
    19
    11
    5
    17
  • (iii)
    Daily wage (in Rs)
    285 - 292
    293 - 300
    301 - 308
    309 - 316
    317 - 324
    325 - 332
    333 - 340
    No. of labourers
    18
    17
    16
    19
    11
    5
    5
  • (iv)
    Daily wage (in Rs)
    285 - 292
    293 - 300
    301 - 308
    309 - 316
    317 - 324
    325 - 332
    333 - 340
    No. of labourers
    18
    5
    16
    19
    11
    5
    17
  • (v)
    Daily wage (in Rs)
    285 - 292
    293 - 300
    301 - 308
    309 - 316
    317 - 324
    325 - 332
    333 - 340
    No. of labourers
    18
    5
    14
    19
    11
    5
    17
Question 60
60.
The heights of 44 pupils in a school are given below. Identify the frequency distribution table for the given less than ogive.
  • (i)
    Height (in cm)
    less than 132
    less than 141
    less than 150
    less than 159
    less than 168
    No. of pupils
    11
    20
    22
    30
    40
  • (ii)
    Height (in cm)
    less than 132
    less than 141
    less than 150
    less than 159
    less than 168
    No. of pupils
    11
    17
    26
    34
    44
  • (iii)
    Height (in cm)
    less than 132
    less than 141
    less than 150
    less than 159
    less than 168
    No. of pupils
    11
    20
    26
    34
    44
  • (iv)
    Height (in cm)
    less than 132
    less than 141
    less than 150
    less than 159
    less than 168
    No. of pupils
    11
    22
    28
    36
    46
  • (v)
    Height (in cm)
    less than 132
    less than 141
    less than 150
    less than 159
    less than 168
    No. of pupils
    11
    21
    27
    35
    44
Question 61
61.
The daily income of 32 workers of a factory is given below. Identify the frequency distribution table for the given less than ogive.
  • (i)
    Daily income (in Rs)
    less than 210
    less than 220
    less than 230
    less than 240
    No. of workers
    9
    19
    26
    32
  • (ii)
    Daily income (in Rs)
    less than 210
    less than 220
    less than 230
    less than 240
    No. of workers
    9
    24
    31
    37
  • (iii)
    Daily income (in Rs)
    less than 210
    less than 220
    less than 230
    less than 240
    No. of workers
    9
    19
    31
    37
  • (iv)
    Daily income (in Rs)
    less than 210
    less than 220
    less than 230
    less than 240
    No. of workers
    6
    16
    23
    32
  • (v)
    Daily income (in Rs)
    less than 210
    less than 220
    less than 230
    less than 240
    No. of workers
    9
    16
    26
    32
Question 62
62.
The marks obtained by 52 students of a class in an examination is given below. Identify the frequency distribution table for the given less than ogive.
  • (i)
    Marks
    less than 30
    less than 40
    less than 50
    less than 60
    less than 70
    less than 80
    less than 90
    No. of students
    6
    16
    17
    25
    33
    42
    47
  • (ii)
    Marks
    less than 30
    less than 40
    less than 50
    less than 60
    less than 70
    less than 80
    less than 90
    No. of students
    6
    16
    22
    25
    33
    42
    47
  • (iii)
    Marks
    less than 30
    less than 40
    less than 50
    less than 60
    less than 70
    less than 80
    less than 90
    No. of students
    6
    12
    22
    30
    38
    47
    52
  • (iv)
    Marks
    less than 30
    less than 40
    less than 50
    less than 60
    less than 70
    less than 80
    less than 90
    No. of students
    6
    11
    17
    25
    33
    42
    52
  • (v)
    Marks
    less than 30
    less than 40
    less than 50
    less than 60
    less than 70
    less than 80
    less than 90
    No. of students
    6
    16
    22
    30
    38
    47
    52
Question 63
63.
The production yield in kg per hectare of wheat of 29 farms of a village is given below. Identify the frequency distribution table for the given less than ogive.
  • (i)
    Production yield (in kg/ha)
    less than 74
    less than 83
    less than 92
    less than 101
    Number of farms
    8
    19
    28
    33
  • (ii)
    Production yield (in kg/ha)
    less than 74
    less than 83
    less than 92
    less than 101
    Number of farms
    8
    17
    24
    29
  • (iii)
    Production yield (in kg/ha)
    less than 74
    less than 83
    less than 92
    less than 101
    Number of farms
    5
    12
    21
    29
  • (iv)
    Production yield (in kg/ha)
    less than 74
    less than 83
    less than 92
    less than 101
    Number of farms
    8
    15
    24
    29
  • (v)
    Production yield (in kg/ha)
    less than 74
    less than 83
    less than 92
    less than 101
    Number of farms
    8
    15
    27
    32
    Assignment Key

  •  1) (iv)
  •  2) (iii)
  •  3) (i)
  •  4) (i)
  •  5) (v)
  •  6) (iii)
  •  7) (ii)
  •  8) (iv)
  •  9) (ii)
  •  10) (ii)
  •  11) (v)
  •  12) (ii)
  •  13) (iii)
  •  14) (ii)
  •  15) (v)
  •  16) (v)
  •  17) (ii)
  •  18) (iii)
  •  19) (iii)
  •  20) (v)
  •  21) (iv)
  •  22) (i)
  •  23) (iv)
  •  24) (v)
  •  25) (ii)
  •  26) (iv)
  •  27) (v)
  •  28) (i)
  •  29) (iii)
  •  30) (i)
  •  31) (iv)
  •  32) (ii)
  •  33) (iv)
  •  34) (iii)
  •  35) (iii)
  •  36) (i)
  •  37) (iii)
  •  38) (iii)
  •  39) (i)
  •  40) (i)
  •  41) (i)
  •  42) (iv)
  •  43) (iii)
  •  44) (iv)
  •  45) (ii)
  •  46) (ii)
  •  47) (iv)
  •  48) (ii)
  •  49) (ii)
  •  50) (iv)
  •  51) (iii)
  •  52) (iii)
  •  53) (i)
  •  54) (iii)
  •  55) (iv)
  •  56) (iii)
  •  57) (iv)
  •  58) (ii)
  •  59) (iv)
  •  60) (iii)
  •  61) (i)
  •  62) (v)
  •  63) (iv)