EduSahara™ Assignment
Name : Ogive
Chapter : Frequency Distribution Tables and Graphs
Grade : SSC Grade VIII
License : Non Commercial Use
Question 1
1.
Less than cumulative curves are drawn using
  • (i)
    upper boundaries of classes and less than cumulative frequencies
  • (ii)
    lower boundaries of classes and less than cumulative frequencies
  • (iii)
    mid values of classes and less than cumulative frequencies
  • (iv)
    lower boundaries of classes and greater than cumulative frequencies
Question 2
2.
Greater than cumulative curves are drawn using
  • (i)
    upper boundaries of classes and less than cumulative frequencies
  • (ii)
    lower boundaries of classes and greater than cumulative frequencies
  • (iii)
    upper boundaries of classes and greater than cumulative frequencies
  • (iv)
    mid values of classes and greater than cumulative frequencies
Question 3
3.
Identify the frequency distribution table for the given ogive.
  • (i)
    Class-Interval
    13 - 20
    20 - 27
    27 - 34
    34 - 41
    41 - 48
    48 - 55
    55 - 62
    Frequency
    9
    14
    14
    13
    15
    12
    12
  • (ii)
    Class-Interval
    13 - 20
    20 - 27
    27 - 34
    34 - 41
    41 - 48
    48 - 55
    55 - 62
    Frequency
    4
    10
    18
    18
    14
    12
    16
  • (iii)
    Class-Interval
    13 - 20
    20 - 27
    27 - 34
    34 - 41
    41 - 48
    48 - 55
    55 - 62
    Frequency
    13
    19
    2
    8
    20
    12
    17
  • (iv)
    Class-Interval
    13 - 20
    20 - 27
    27 - 34
    34 - 41
    41 - 48
    48 - 55
    55 - 62
    Frequency
    9
    3
    20
    8
    8
    8
    6
  • (v)
    Class-Interval
    13 - 20
    20 - 27
    27 - 34
    34 - 41
    41 - 48
    48 - 55
    55 - 62
    Frequency
    20
    13
    15
    16
    5
    1
    2
Question 4
4.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Class-Interval
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    Frequency
    6
    5
    5
    12
    17
  • (ii)
    Class-Interval
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    Frequency
    11
    12
    13
    12
    12
  • (iii)
    Class-Interval
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    Frequency
    16
    16
    7
    17
    4
  • (iv)
    Class-Interval
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    Frequency
    6
    7
    6
    3
    7
  • (v)
    Class-Interval
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    Frequency
    11
    7
    4
    15
    1
Question 5
5.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Class-Interval
    15 - 21
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    Frequency
    5
    5
    6
    9
    9
    10
    11
    5
  • (ii)
    Class-Interval
    15 - 21
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    Frequency
    10
    7
    6
    17
    20
    8
    8
    12
  • (iii)
    Class-Interval
    15 - 21
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    Frequency
    19
    19
    18
    16
    3
    1
    4
    10
  • (iv)
    Class-Interval
    15 - 21
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    Frequency
    20
    7
    18
    19
    6
    18
    1
    7
  • (v)
    Class-Interval
    15 - 21
    21 - 27
    27 - 33
    33 - 39
    39 - 45
    45 - 51
    51 - 57
    57 - 63
    Frequency
    17
    10
    19
    12
    7
    18
    3
    10
Question 6
6.
    • The given ogive represents the heights of workers (in cm) in a factory.
    • Find the number of workers whose height is less than
    • 146 cm
  • (i)
    15
  • (ii)
    14
  • (iii)
    10
  • (iv)
    6
  • (v)
    5
Question 7
7.
    • The heights of 41 pupils in a school are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    125 - 132
    133 - 140
    141 - 148
    149 - 156
    157 - 164
    165 - 172
    173 - 180
    No. of pupils
    7
    8
    5
    5
    6
    6
    4
  • (ii)
    Height (in cm)
    125 - 132
    133 - 140
    141 - 148
    149 - 156
    157 - 164
    165 - 172
    173 - 180
    No. of pupils
    7
    5
    8
    10
    6
    6
    4
  • (iii)
    Height (in cm)
    125 - 132
    133 - 140
    141 - 148
    149 - 156
    157 - 164
    165 - 172
    173 - 180
    No. of pupils
    7
    4
    8
    5
    6
    6
    5
  • (iv)
    Height (in cm)
    125 - 132
    133 - 140
    141 - 148
    149 - 156
    157 - 164
    165 - 172
    173 - 180
    No. of pupils
    7
    5
    8
    5
    6
    6
    4
  • (v)
    Height (in cm)
    125 - 132
    133 - 140
    141 - 148
    149 - 156
    157 - 164
    165 - 172
    173 - 180
    No. of pupils
    7
    5
    13
    5
    6
    6
    4
Question 8
8.
    • Heights of 83 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    127 - 137
    137 - 147
    147 - 157
    157 - 167
    167 - 177
    177 - 187
    No. of students
    14
    8
    10
    24
    14
    17
  • (ii)
    Height (in cm)
    127 - 137
    137 - 147
    147 - 157
    157 - 167
    167 - 177
    177 - 187
    No. of students
    14
    8
    10
    20
    14
    17
  • (iii)
    Height (in cm)
    127 - 137
    137 - 147
    147 - 157
    157 - 167
    167 - 177
    177 - 187
    No. of students
    14
    17
    10
    20
    14
    8
  • (iv)
    Height (in cm)
    127 - 137
    137 - 147
    147 - 157
    157 - 167
    167 - 177
    177 - 187
    No. of students
    14
    8
    15
    20
    14
    17
  • (v)
    Height (in cm)
    127 - 137
    137 - 147
    147 - 157
    157 - 167
    167 - 177
    177 - 187
    No. of students
    14
    10
    8
    20
    14
    17
Question 9
9.
    • Heights of 85 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    129 - 135
    136 - 142
    143 - 149
    150 - 156
    157 - 163
    164 - 170
    171 - 177
    No. of students
    7
    14
    5
    11
    19
    14
    15
  • (ii)
    Height (in cm)
    129 - 135
    136 - 142
    143 - 149
    150 - 156
    157 - 163
    164 - 170
    171 - 177
    No. of students
    7
    5
    17
    11
    19
    14
    15
  • (iii)
    Height (in cm)
    129 - 135
    136 - 142
    143 - 149
    150 - 156
    157 - 163
    164 - 170
    171 - 177
    No. of students
    7
    15
    14
    11
    19
    14
    5
  • (iv)
    Height (in cm)
    129 - 135
    136 - 142
    143 - 149
    150 - 156
    157 - 163
    164 - 170
    171 - 177
    No. of students
    7
    5
    14
    11
    19
    14
    15
  • (v)
    Height (in cm)
    129 - 135
    136 - 142
    143 - 149
    150 - 156
    157 - 163
    164 - 170
    171 - 177
    No. of students
    7
    5
    14
    7
    19
    14
    15
Question 10
10.
    • Heights of 80 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    63 - 73
    73 - 83
    83 - 93
    93 - 103
    103 - 113
    113 - 123
    No. of plants
    15
    10
    19
    11
    13
    12
  • (ii)
    Height (in cm)
    63 - 73
    73 - 83
    83 - 93
    93 - 103
    103 - 113
    113 - 123
    No. of plants
    15
    19
    10
    11
    13
    12
  • (iii)
    Height (in cm)
    63 - 73
    73 - 83
    83 - 93
    93 - 103
    103 - 113
    113 - 123
    No. of plants
    15
    10
    17
    11
    13
    12
  • (iv)
    Height (in cm)
    63 - 73
    73 - 83
    83 - 93
    93 - 103
    103 - 113
    113 - 123
    No. of plants
    15
    12
    19
    11
    13
    10
  • (v)
    Height (in cm)
    63 - 73
    73 - 83
    83 - 93
    93 - 103
    103 - 113
    113 - 123
    No. of plants
    15
    10
    19
    7
    13
    12
Question 11
11.
    • Heights of 49 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    65 - 70
    71 - 76
    77 - 82
    83 - 88
    89 - 94
    No. of plants
    5
    12
    7
    14
    11
  • (ii)
    Height (in cm)
    65 - 70
    71 - 76
    77 - 82
    83 - 88
    89 - 94
    No. of plants
    5
    16
    7
    14
    11
  • (iii)
    Height (in cm)
    65 - 70
    71 - 76
    77 - 82
    83 - 88
    89 - 94
    No. of plants
    5
    7
    12
    14
    11
  • (iv)
    Height (in cm)
    65 - 70
    71 - 76
    77 - 82
    83 - 88
    89 - 94
    No. of plants
    5
    12
    11
    14
    11
  • (v)
    Height (in cm)
    65 - 70
    71 - 76
    77 - 82
    83 - 88
    89 - 94
    No. of plants
    5
    11
    7
    14
    12
Question 12
12.
    • Ages of 69 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    64 - 73
    No. of students
    11
    14
    13
    5
    8
    18
  • (ii)
    Age (in years)
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    64 - 73
    No. of students
    11
    13
    14
    5
    8
    18
  • (iii)
    Age (in years)
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    64 - 73
    No. of students
    11
    18
    13
    5
    8
    14
  • (iv)
    Age (in years)
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    64 - 73
    No. of students
    11
    14
    13
    1
    8
    18
  • (v)
    Age (in years)
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    64 - 73
    No. of students
    11
    14
    9
    5
    8
    18
Question 13
13.
    • Ages of 113 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    18 - 25
    26 - 33
    34 - 41
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    No. of students
    9
    5
    9
    18
    20
    20
    19
    13
  • (ii)
    Age (in years)
    18 - 25
    26 - 33
    34 - 41
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    No. of students
    9
    13
    18
    9
    20
    20
    19
    5
  • (iii)
    Age (in years)
    18 - 25
    26 - 33
    34 - 41
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    No. of students
    9
    13
    14
    18
    20
    20
    19
    5
  • (iv)
    Age (in years)
    18 - 25
    26 - 33
    34 - 41
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    No. of students
    9
    13
    9
    18
    20
    20
    19
    5
  • (v)
    Age (in years)
    18 - 25
    26 - 33
    34 - 41
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    No. of students
    9
    13
    9
    18
    24
    20
    19
    5
Question 14
14.
    • Scores of 60 students are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Score
    82 - 92
    92 - 102
    102 - 112
    112 - 122
    122 - 132
    No. of students
    14
    11
    13
    8
    14
  • (ii)
    Score
    82 - 92
    92 - 102
    102 - 112
    112 - 122
    122 - 132
    No. of students
    14
    14
    11
    8
    11
  • (iii)
    Score
    82 - 92
    92 - 102
    102 - 112
    112 - 122
    122 - 132
    No. of students
    14
    13
    14
    8
    11
  • (iv)
    Score
    82 - 92
    92 - 102
    102 - 112
    112 - 122
    122 - 132
    No. of students
    14
    19
    13
    8
    11
  • (v)
    Score
    82 - 92
    92 - 102
    102 - 112
    112 - 122
    122 - 132
    No. of students
    14
    14
    13
    8
    11
Question 15
15.
    • Temperatures of 46 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Temperature (in degree)
    25 - 33
    33 - 41
    41 - 49
    49 - 57
    57 - 65
    No. of days
    12
    7
    5
    16
    6
  • (ii)
    Temperature (in degree)
    25 - 33
    33 - 41
    41 - 49
    49 - 57
    57 - 65
    No. of days
    12
    6
    5
    16
    7
  • (iii)
    Temperature (in degree)
    25 - 33
    33 - 41
    41 - 49
    49 - 57
    57 - 65
    No. of days
    12
    5
    5
    16
    6
  • (iv)
    Temperature (in degree)
    25 - 33
    33 - 41
    41 - 49
    49 - 57
    57 - 65
    No. of days
    12
    5
    7
    16
    6
  • (v)
    Temperature (in degree)
    25 - 33
    33 - 41
    41 - 49
    49 - 57
    57 - 65
    No. of days
    12
    7
    10
    16
    6
Question 16
16.
    • Temperatures of 84 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Temperature (in degree)
    26 - 34
    35 - 43
    44 - 52
    53 - 61
    62 - 70
    71 - 79
    80 - 88
    No. of days
    18
    6
    8
    10
    11
    8
    18
  • (ii)
    Temperature (in degree)
    26 - 34
    35 - 43
    44 - 52
    53 - 61
    62 - 70
    71 - 79
    80 - 88
    No. of days
    18
    6
    8
    15
    11
    8
    18
  • (iii)
    Temperature (in degree)
    26 - 34
    35 - 43
    44 - 52
    53 - 61
    62 - 70
    71 - 79
    80 - 88
    No. of days
    18
    6
    10
    15
    11
    8
    18
  • (iv)
    Temperature (in degree)
    26 - 34
    35 - 43
    44 - 52
    53 - 61
    62 - 70
    71 - 79
    80 - 88
    No. of days
    18
    18
    8
    15
    11
    8
    6
  • (v)
    Temperature (in degree)
    26 - 34
    35 - 43
    44 - 52
    53 - 61
    62 - 70
    71 - 79
    80 - 88
    No. of days
    18
    8
    6
    15
    11
    8
    18
Question 17
17.
    • Weights of 87 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Weight (in kg)
    51 - 59
    59 - 67
    67 - 75
    75 - 83
    83 - 91
    91 - 99
    99 - 107
    No. of students
    7
    19
    15
    11
    6
    12
    17
  • (ii)
    Weight (in kg)
    51 - 59
    59 - 67
    67 - 75
    75 - 83
    83 - 91
    91 - 99
    99 - 107
    No. of students
    7
    17
    15
    11
    6
    12
    19
  • (iii)
    Weight (in kg)
    51 - 59
    59 - 67
    67 - 75
    75 - 83
    83 - 91
    91 - 99
    99 - 107
    No. of students
    7
    15
    17
    11
    6
    12
    19
  • (iv)
    Weight (in kg)
    51 - 59
    59 - 67
    67 - 75
    75 - 83
    83 - 91
    91 - 99
    99 - 107
    No. of students
    7
    17
    15
    8
    6
    12
    19
  • (v)
    Weight (in kg)
    51 - 59
    59 - 67
    67 - 75
    75 - 83
    83 - 91
    91 - 99
    99 - 107
    No. of students
    7
    17
    10
    11
    6
    12
    19
Question 18
18.
    • Weights of 65 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Weight (in kg)
    57 - 67
    68 - 78
    79 - 89
    90 - 100
    101 - 111
    No. of students
    15
    11
    4
    18
    14
  • (ii)
    Weight (in kg)
    57 - 67
    68 - 78
    79 - 89
    90 - 100
    101 - 111
    No. of students
    15
    7
    7
    18
    14
  • (iii)
    Weight (in kg)
    57 - 67
    68 - 78
    79 - 89
    90 - 100
    101 - 111
    No. of students
    15
    7
    11
    18
    14
  • (iv)
    Weight (in kg)
    57 - 67
    68 - 78
    79 - 89
    90 - 100
    101 - 111
    No. of students
    15
    11
    7
    18
    14
  • (v)
    Weight (in kg)
    57 - 67
    68 - 78
    79 - 89
    90 - 100
    101 - 111
    No. of students
    15
    14
    7
    18
    11
Question 19
19.
    • Rainfall of 75 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    8 - 18
    18 - 28
    28 - 38
    38 - 48
    48 - 58
    No. of days
    20
    19
    8
    16
    12
  • (ii)
    Rainfall (in mm)
    8 - 18
    18 - 28
    28 - 38
    38 - 48
    48 - 58
    No. of days
    20
    12
    6
    16
    19
  • (iii)
    Rainfall (in mm)
    8 - 18
    18 - 28
    28 - 38
    38 - 48
    48 - 58
    No. of days
    20
    12
    8
    16
    19
  • (iv)
    Rainfall (in mm)
    8 - 18
    18 - 28
    28 - 38
    38 - 48
    48 - 58
    No. of days
    20
    8
    8
    16
    19
  • (v)
    Rainfall (in mm)
    8 - 18
    18 - 28
    28 - 38
    38 - 48
    48 - 58
    No. of days
    20
    8
    12
    16
    19
Question 20
20.
    • Rainfall of 57 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    6 - 11
    12 - 17
    18 - 23
    24 - 29
    30 - 35
    No. of days
    7
    18
    12
    5
    15
  • (ii)
    Rainfall (in mm)
    6 - 11
    12 - 17
    18 - 23
    24 - 29
    30 - 35
    No. of days
    7
    12
    18
    5
    15
  • (iii)
    Rainfall (in mm)
    6 - 11
    12 - 17
    18 - 23
    24 - 29
    30 - 35
    No. of days
    7
    12
    14
    5
    15
  • (iv)
    Rainfall (in mm)
    6 - 11
    12 - 17
    18 - 23
    24 - 29
    30 - 35
    No. of days
    7
    15
    18
    5
    12
  • (v)
    Rainfall (in mm)
    6 - 11
    12 - 17
    18 - 23
    24 - 29
    30 - 35
    No. of days
    7
    7
    18
    5
    15
Question 21
21.
    • Daily wages of 85 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    214 - 224
    224 - 234
    234 - 244
    244 - 254
    254 - 264
    No. of labourers
    20
    20
    12
    13
    20
  • (ii)
    Daily wage (in Rs)
    214 - 224
    224 - 234
    234 - 244
    244 - 254
    254 - 264
    No. of labourers
    20
    18
    12
    13
    20
  • (iii)
    Daily wage (in Rs)
    214 - 224
    224 - 234
    234 - 244
    244 - 254
    254 - 264
    No. of labourers
    20
    12
    20
    13
    20
  • (iv)
    Daily wage (in Rs)
    214 - 224
    224 - 234
    234 - 244
    244 - 254
    254 - 264
    No. of labourers
    20
    20
    14
    13
    20
Question 22
22.
    • Daily wages of 77 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    242 - 251
    252 - 261
    262 - 271
    272 - 281
    282 - 291
    No. of labourers
    20
    5
    20
    18
    14
  • (ii)
    Daily wage (in Rs)
    242 - 251
    252 - 261
    262 - 271
    272 - 281
    282 - 291
    No. of labourers
    20
    22
    5
    18
    14
  • (iii)
    Daily wage (in Rs)
    242 - 251
    252 - 261
    262 - 271
    272 - 281
    282 - 291
    No. of labourers
    20
    20
    5
    18
    14
  • (iv)
    Daily wage (in Rs)
    242 - 251
    252 - 261
    262 - 271
    272 - 281
    282 - 291
    No. of labourers
    20
    20
    10
    18
    14
  • (v)
    Daily wage (in Rs)
    242 - 251
    252 - 261
    262 - 271
    272 - 281
    282 - 291
    No. of labourers
    20
    14
    5
    18
    20
    Assignment Key

  •  1) (i)
  •  2) (ii)
  •  3) (ii)
  •  4) (iv)
  •  5) (i)
  •  6) (iii)
  •  7) (iv)
  •  8) (ii)
  •  9) (iv)
  •  10) (i)
  •  11) (i)
  •  12) (i)
  •  13) (iv)
  •  14) (v)
  •  15) (i)
  •  16) (ii)
  •  17) (ii)
  •  18) (iv)
  •  19) (iii)
  •  20) (ii)
  •  21) (i)
  •  22) (iii)