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)
    lower boundaries of classes and less than cumulative frequencies
  • (ii)
    lower boundaries of classes and greater than cumulative frequencies
  • (iii)
    upper boundaries of classes and less than cumulative frequencies
  • (iv)
    mid values of classes and less than cumulative frequencies
Question 2
2.
Greater than cumulative curves are drawn using
  • (i)
    mid values of classes and greater than cumulative frequencies
  • (ii)
    upper boundaries 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
    11 - 18
    18 - 25
    25 - 32
    32 - 39
    39 - 46
    46 - 53
    53 - 60
    Frequency
    15
    7
    16
    17
    3
    10
    14
  • (ii)
    Class-Interval
    11 - 18
    18 - 25
    25 - 32
    32 - 39
    39 - 46
    46 - 53
    53 - 60
    Frequency
    8
    4
    1
    18
    9
    18
    11
  • (iii)
    Class-Interval
    11 - 18
    18 - 25
    25 - 32
    32 - 39
    39 - 46
    46 - 53
    53 - 60
    Frequency
    15
    1
    19
    12
    3
    20
    20
  • (iv)
    Class-Interval
    11 - 18
    18 - 25
    25 - 32
    32 - 39
    39 - 46
    46 - 53
    53 - 60
    Frequency
    19
    2
    16
    19
    6
    19
    10
  • (v)
    Class-Interval
    11 - 18
    18 - 25
    25 - 32
    32 - 39
    39 - 46
    46 - 53
    53 - 60
    Frequency
    9
    5
    4
    20
    1
    15
    2
Question 4
4.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Class-Interval
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    47 - 52
    53 - 58
    Frequency
    14
    8
    8
    12
    5
    19
    13
  • (ii)
    Class-Interval
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    47 - 52
    53 - 58
    Frequency
    11
    10
    6
    7
    4
    7
    13
  • (iii)
    Class-Interval
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    47 - 52
    53 - 58
    Frequency
    18
    4
    6
    16
    5
    4
    18
  • (iv)
    Class-Interval
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    47 - 52
    53 - 58
    Frequency
    6
    9
    3
    7
    3
    3
    6
  • (v)
    Class-Interval
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    47 - 52
    53 - 58
    Frequency
    14
    15
    4
    17
    12
    16
    11
Question 5
5.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    66 - 76
    76 - 86
    86 - 96
    Frequency
    20
    10
    18
    7
    6
    5
    4
    3
  • (ii)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    66 - 76
    76 - 86
    86 - 96
    Frequency
    11
    3
    2
    13
    17
    17
    9
    20
  • (iii)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    66 - 76
    76 - 86
    86 - 96
    Frequency
    6
    13
    4
    2
    19
    16
    15
    6
  • (iv)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    66 - 76
    76 - 86
    86 - 96
    Frequency
    4
    4
    4
    11
    8
    7
    10
    10
  • (v)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    66 - 76
    76 - 86
    86 - 96
    Frequency
    16
    19
    2
    6
    11
    15
    12
    14
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
    • 177 cm
  • (i)
    28
  • (ii)
    32
  • (iii)
    37
  • (iv)
    27
  • (v)
    36
Question 7
7.
    • The heights of 31 pupils in a school are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    130 - 139
    140 - 149
    150 - 159
    160 - 169
    170 - 179
    No. of pupils
    8
    7
    5
    3
    5
  • (ii)
    Height (in cm)
    130 - 139
    140 - 149
    150 - 159
    160 - 169
    170 - 179
    No. of pupils
    8
    7
    8
    3
    5
  • (iii)
    Height (in cm)
    130 - 139
    140 - 149
    150 - 159
    160 - 169
    170 - 179
    No. of pupils
    8
    9
    8
    3
    5
  • (iv)
    Height (in cm)
    130 - 139
    140 - 149
    150 - 159
    160 - 169
    170 - 179
    No. of pupils
    8
    8
    7
    3
    5
  • (v)
    Height (in cm)
    130 - 139
    140 - 149
    150 - 159
    160 - 169
    170 - 179
    No. of pupils
    8
    5
    8
    3
    7
Question 8
8.
    • Heights of 89 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
    187 - 197
    197 - 207
    No. of students
    9
    12
    7
    18
    12
    5
    11
    19
  • (ii)
    Height (in cm)
    127 - 137
    137 - 147
    147 - 157
    157 - 167
    167 - 177
    177 - 187
    187 - 197
    197 - 207
    No. of students
    9
    12
    5
    18
    8
    5
    11
    19
  • (iii)
    Height (in cm)
    127 - 137
    137 - 147
    147 - 157
    157 - 167
    167 - 177
    177 - 187
    187 - 197
    197 - 207
    No. of students
    9
    12
    18
    7
    8
    5
    11
    19
  • (iv)
    Height (in cm)
    127 - 137
    137 - 147
    147 - 157
    157 - 167
    167 - 177
    177 - 187
    187 - 197
    197 - 207
    No. of students
    9
    12
    7
    18
    8
    5
    11
    19
  • (v)
    Height (in cm)
    127 - 137
    137 - 147
    147 - 157
    157 - 167
    167 - 177
    177 - 187
    187 - 197
    197 - 207
    No. of students
    9
    19
    7
    18
    8
    5
    11
    12
Question 9
9.
    • Heights of 54 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    123 - 128
    129 - 134
    135 - 140
    141 - 146
    147 - 152
    No. of students
    7
    10
    18
    13
    9
  • (ii)
    Height (in cm)
    123 - 128
    129 - 134
    135 - 140
    141 - 146
    147 - 152
    No. of students
    7
    9
    18
    13
    7
  • (iii)
    Height (in cm)
    123 - 128
    129 - 134
    135 - 140
    141 - 146
    147 - 152
    No. of students
    7
    7
    18
    13
    9
  • (iv)
    Height (in cm)
    123 - 128
    129 - 134
    135 - 140
    141 - 146
    147 - 152
    No. of students
    7
    7
    14
    13
    9
  • (v)
    Height (in cm)
    123 - 128
    129 - 134
    135 - 140
    141 - 146
    147 - 152
    No. of students
    7
    18
    7
    13
    9
Question 10
10.
    • Heights of 62 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    64 - 74
    74 - 84
    84 - 94
    94 - 104
    104 - 114
    No. of plants
    10
    18
    12
    16
    6
  • (ii)
    Height (in cm)
    64 - 74
    74 - 84
    84 - 94
    94 - 104
    104 - 114
    No. of plants
    10
    6
    12
    16
    18
  • (iii)
    Height (in cm)
    64 - 74
    74 - 84
    84 - 94
    94 - 104
    104 - 114
    No. of plants
    10
    8
    12
    16
    18
  • (iv)
    Height (in cm)
    64 - 74
    74 - 84
    84 - 94
    94 - 104
    104 - 114
    No. of plants
    10
    6
    8
    16
    18
  • (v)
    Height (in cm)
    64 - 74
    74 - 84
    84 - 94
    94 - 104
    104 - 114
    No. of plants
    10
    12
    6
    16
    18
Question 11
11.
    • Heights of 81 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    52 - 58
    59 - 65
    66 - 72
    73 - 79
    80 - 86
    87 - 93
    94 - 100
    No. of plants
    17
    18
    7
    18
    11
    5
    5
  • (ii)
    Height (in cm)
    52 - 58
    59 - 65
    66 - 72
    73 - 79
    80 - 86
    87 - 93
    94 - 100
    No. of plants
    17
    7
    5
    18
    11
    5
    18
  • (iii)
    Height (in cm)
    52 - 58
    59 - 65
    66 - 72
    73 - 79
    80 - 86
    87 - 93
    94 - 100
    No. of plants
    17
    5
    7
    18
    11
    5
    18
  • (iv)
    Height (in cm)
    52 - 58
    59 - 65
    66 - 72
    73 - 79
    80 - 86
    87 - 93
    94 - 100
    No. of plants
    17
    5
    7
    15
    11
    5
    18
  • (v)
    Height (in cm)
    52 - 58
    59 - 65
    66 - 72
    73 - 79
    80 - 86
    87 - 93
    94 - 100
    No. of plants
    17
    5
    2
    18
    11
    5
    18
Question 12
12.
    • Ages of 100 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    18 - 28
    28 - 38
    38 - 48
    48 - 58
    58 - 68
    68 - 78
    78 - 88
    88 - 98
    No. of students
    8
    18
    7
    14
    7
    16
    18
    12
  • (ii)
    Age (in years)
    18 - 28
    28 - 38
    38 - 48
    48 - 58
    58 - 68
    68 - 78
    78 - 88
    88 - 98
    No. of students
    8
    18
    16
    7
    7
    16
    18
    12
  • (iii)
    Age (in years)
    18 - 28
    28 - 38
    38 - 48
    48 - 58
    58 - 68
    68 - 78
    78 - 88
    88 - 98
    No. of students
    8
    18
    14
    7
    4
    16
    18
    12
  • (iv)
    Age (in years)
    18 - 28
    28 - 38
    38 - 48
    48 - 58
    58 - 68
    68 - 78
    78 - 88
    88 - 98
    No. of students
    8
    18
    14
    7
    7
    16
    18
    12
  • (v)
    Age (in years)
    18 - 28
    28 - 38
    38 - 48
    48 - 58
    58 - 68
    68 - 78
    78 - 88
    88 - 98
    No. of students
    8
    12
    14
    7
    7
    16
    18
    18
Question 13
13.
    • Ages of 106 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    15 - 25
    26 - 36
    37 - 47
    48 - 58
    59 - 69
    70 - 80
    81 - 91
    No. of students
    15
    18
    12
    17
    19
    19
    6
  • (ii)
    Age (in years)
    15 - 25
    26 - 36
    37 - 47
    48 - 58
    59 - 69
    70 - 80
    81 - 91
    No. of students
    15
    12
    6
    17
    19
    19
    18
  • (iii)
    Age (in years)
    15 - 25
    26 - 36
    37 - 47
    48 - 58
    59 - 69
    70 - 80
    81 - 91
    No. of students
    15
    6
    12
    21
    19
    19
    18
  • (iv)
    Age (in years)
    15 - 25
    26 - 36
    37 - 47
    48 - 58
    59 - 69
    70 - 80
    81 - 91
    No. of students
    15
    6
    12
    17
    19
    19
    18
  • (v)
    Age (in years)
    15 - 25
    26 - 36
    37 - 47
    48 - 58
    59 - 69
    70 - 80
    81 - 91
    No. of students
    15
    6
    16
    17
    19
    19
    18
Question 14
14.
    • Scores of 82 students are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Score
    82 - 91
    91 - 100
    100 - 109
    109 - 118
    118 - 127
    127 - 136
    136 - 145
    No. of students
    6
    16
    9
    9
    13
    18
    11
  • (ii)
    Score
    82 - 91
    91 - 100
    100 - 109
    109 - 118
    118 - 127
    127 - 136
    136 - 145
    No. of students
    6
    11
    9
    9
    13
    18
    16
  • (iii)
    Score
    82 - 91
    91 - 100
    100 - 109
    109 - 118
    118 - 127
    127 - 136
    136 - 145
    No. of students
    6
    16
    7
    9
    13
    18
    11
  • (iv)
    Score
    82 - 91
    91 - 100
    100 - 109
    109 - 118
    118 - 127
    127 - 136
    136 - 145
    No. of students
    6
    9
    16
    9
    13
    18
    11
  • (v)
    Score
    82 - 91
    91 - 100
    100 - 109
    109 - 118
    118 - 127
    127 - 136
    136 - 145
    No. of students
    6
    16
    9
    11
    13
    18
    11
Question 15
15.
    • Temperatures of 107 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Temperature (in degree)
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    90 - 100
    100 - 110
    No. of days
    13
    9
    24
    16
    20
    8
    7
    14
  • (ii)
    Temperature (in degree)
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    90 - 100
    100 - 110
    No. of days
    13
    14
    20
    16
    20
    8
    7
    9
  • (iii)
    Temperature (in degree)
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    90 - 100
    100 - 110
    No. of days
    13
    9
    20
    16
    18
    8
    7
    14
  • (iv)
    Temperature (in degree)
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    90 - 100
    100 - 110
    No. of days
    13
    9
    16
    20
    20
    8
    7
    14
  • (v)
    Temperature (in degree)
    30 - 40
    40 - 50
    50 - 60
    60 - 70
    70 - 80
    80 - 90
    90 - 100
    100 - 110
    No. of days
    13
    9
    20
    16
    20
    8
    7
    14
Question 16
16.
    • Temperatures of 106 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Temperature (in degree)
    34 - 41
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    No. of days
    18
    15
    13
    20
    11
    14
    15
  • (ii)
    Temperature (in degree)
    34 - 41
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    No. of days
    18
    15
    9
    20
    11
    14
    15
  • (iii)
    Temperature (in degree)
    34 - 41
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    No. of days
    18
    13
    15
    20
    11
    14
    15
  • (iv)
    Temperature (in degree)
    34 - 41
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    No. of days
    18
    15
    13
    17
    11
    14
    15
Question 17
17.
    • Weights of 57 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Weight (in kg)
    54 - 63
    63 - 72
    72 - 81
    81 - 90
    90 - 99
    No. of students
    13
    9
    10
    5
    20
  • (ii)
    Weight (in kg)
    54 - 63
    63 - 72
    72 - 81
    81 - 90
    90 - 99
    No. of students
    13
    20
    10
    5
    9
  • (iii)
    Weight (in kg)
    54 - 63
    63 - 72
    72 - 81
    81 - 90
    90 - 99
    No. of students
    13
    20
    6
    5
    9
  • (iv)
    Weight (in kg)
    54 - 63
    63 - 72
    72 - 81
    81 - 90
    90 - 99
    No. of students
    13
    10
    20
    5
    9
  • (v)
    Weight (in kg)
    54 - 63
    63 - 72
    72 - 81
    81 - 90
    90 - 99
    No. of students
    13
    22
    10
    5
    9
Question 18
18.
    • Weights of 85 students (in kg) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Weight (in kg)
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    No. of students
    13
    15
    20
    5
    9
    17
    6
  • (ii)
    Weight (in kg)
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    No. of students
    13
    6
    18
    5
    9
    17
    15
  • (iii)
    Weight (in kg)
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    No. of students
    13
    6
    20
    2
    9
    17
    15
  • (iv)
    Weight (in kg)
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    No. of students
    13
    6
    20
    5
    9
    17
    15
  • (v)
    Weight (in kg)
    42 - 49
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    No. of students
    13
    20
    6
    5
    9
    17
    15
Question 19
19.
    • Rainfall of 69 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    7 - 17
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    No. of days
    9
    14
    8
    13
    12
    8
    5
  • (ii)
    Rainfall (in mm)
    7 - 17
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    No. of days
    9
    5
    8
    13
    12
    8
    14
  • (iii)
    Rainfall (in mm)
    7 - 17
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    No. of days
    9
    14
    8
    18
    12
    8
    5
  • (iv)
    Rainfall (in mm)
    7 - 17
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    No. of days
    9
    8
    14
    13
    12
    8
    5
  • (v)
    Rainfall (in mm)
    7 - 17
    17 - 27
    27 - 37
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    No. of days
    9
    14
    11
    13
    12
    8
    5
Question 20
20.
    • Rainfall of 87 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    5 - 10
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    No. of days
    18
    10
    19
    14
    7
    7
    16
  • (ii)
    Rainfall (in mm)
    5 - 10
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    No. of days
    18
    10
    15
    14
    7
    7
    16
  • (iii)
    Rainfall (in mm)
    5 - 10
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    No. of days
    18
    10
    15
    11
    7
    7
    16
  • (iv)
    Rainfall (in mm)
    5 - 10
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    No. of days
    18
    16
    15
    14
    7
    7
    10
  • (v)
    Rainfall (in mm)
    5 - 10
    11 - 16
    17 - 22
    23 - 28
    29 - 34
    35 - 40
    41 - 46
    No. of days
    18
    15
    10
    14
    7
    7
    16
Question 21
21.
    • Daily wages of 94 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    270 - 277
    277 - 284
    284 - 291
    291 - 298
    298 - 305
    305 - 312
    312 - 319
    319 - 326
    No. of labourers
    16
    14
    14
    6
    5
    12
    10
    14
  • (ii)
    Daily wage (in Rs)
    270 - 277
    277 - 284
    284 - 291
    291 - 298
    298 - 305
    305 - 312
    312 - 319
    319 - 326
    No. of labourers
    16
    14
    17
    6
    9
    12
    10
    14
  • (iii)
    Daily wage (in Rs)
    270 - 277
    277 - 284
    284 - 291
    291 - 298
    298 - 305
    305 - 312
    312 - 319
    319 - 326
    No. of labourers
    16
    14
    6
    17
    5
    12
    10
    14
  • (iv)
    Daily wage (in Rs)
    270 - 277
    277 - 284
    284 - 291
    291 - 298
    298 - 305
    305 - 312
    312 - 319
    319 - 326
    No. of labourers
    16
    14
    17
    6
    5
    12
    10
    14
Question 22
22.
    • Daily wages of 98 labourers (in ₹) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Daily wage (in Rs)
    213 - 223
    224 - 234
    235 - 245
    246 - 256
    257 - 267
    268 - 278
    279 - 289
    No. of labourers
    12
    20
    6
    9
    16
    20
    15
  • (ii)
    Daily wage (in Rs)
    213 - 223
    224 - 234
    235 - 245
    246 - 256
    257 - 267
    268 - 278
    279 - 289
    No. of labourers
    12
    6
    20
    9
    16
    20
    15
  • (iii)
    Daily wage (in Rs)
    213 - 223
    224 - 234
    235 - 245
    246 - 256
    257 - 267
    268 - 278
    279 - 289
    No. of labourers
    12
    20
    10
    9
    16
    20
    15
  • (iv)
    Daily wage (in Rs)
    213 - 223
    224 - 234
    235 - 245
    246 - 256
    257 - 267
    268 - 278
    279 - 289
    No. of labourers
    12
    20
    6
    7
    16
    20
    15
  • (v)
    Daily wage (in Rs)
    213 - 223
    224 - 234
    235 - 245
    246 - 256
    257 - 267
    268 - 278
    279 - 289
    No. of labourers
    12
    15
    6
    9
    16
    20
    20
    Assignment Key

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