EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • Scores of 105 students are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Score
    88 - 97
    97 - 106
    106 - 115
    115 - 124
    124 - 133
    133 - 142
    142 - 151
    151 - 160
    No. of students
    19
    12
    6
    12
    19
    12
    11
    14
  • (ii)
    Score
    88 - 97
    97 - 106
    106 - 115
    115 - 124
    124 - 133
    133 - 142
    142 - 151
    151 - 160
    No. of students
    19
    14
    10
    12
    19
    12
    11
    12
  • (iii)
    Score
    88 - 97
    97 - 106
    106 - 115
    115 - 124
    124 - 133
    133 - 142
    142 - 151
    151 - 160
    No. of students
    19
    14
    6
    12
    17
    12
    11
    12
  • (iv)
    Score
    88 - 97
    97 - 106
    106 - 115
    115 - 124
    124 - 133
    133 - 142
    142 - 151
    151 - 160
    No. of students
    19
    14
    12
    6
    19
    12
    11
    12
  • (v)
    Score
    88 - 97
    97 - 106
    106 - 115
    115 - 124
    124 - 133
    133 - 142
    142 - 151
    151 - 160
    No. of students
    19
    14
    6
    12
    19
    12
    11
    12
Question 2
2.
    • Scores of 229 students are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Score
    85 - 94
    95 - 104
    105 - 114
    115 - 124
    125 - 134
    135 - 144
    145 - 154
    155 - 164
    No. of students
    30
    5
    47
    43
    14
    29
    48
    16
  • (ii)
    Score
    85 - 94
    95 - 104
    105 - 114
    115 - 124
    125 - 134
    135 - 144
    145 - 154
    155 - 164
    No. of students
    30
    16
    47
    43
    11
    29
    48
    5
  • (iii)
    Score
    85 - 94
    95 - 104
    105 - 114
    115 - 124
    125 - 134
    135 - 144
    145 - 154
    155 - 164
    No. of students
    30
    5
    43
    47
    11
    29
    48
    16
  • (iv)
    Score
    85 - 94
    95 - 104
    105 - 114
    115 - 124
    125 - 134
    135 - 144
    145 - 154
    155 - 164
    No. of students
    30
    5
    47
    43
    11
    29
    48
    16
  • (v)
    Score
    85 - 94
    95 - 104
    105 - 114
    115 - 124
    125 - 134
    135 - 144
    145 - 154
    155 - 164
    No. of students
    30
    5
    50
    43
    11
    29
    48
    16
Question 3
3.
    • Given table in inclusive form, convert it into exclusive form.
    • Class-Interval
      16 - 26
      27 - 37
      38 - 48
      49 - 59
      60 - 70
      Frequency
      13
      27
      44
      15
      27
  • (i)
    Class-Interval
    16 - 26
    26 - 36
    36 - 46
    46 - 56
    56 - 66
    Frequency
    24
    19
    47
    22
    23
  • (ii)
    Class-Interval
    15.5 - 26
    26.5 - 37
    37.5 - 48
    48.5 - 59
    59.5 - 70
    Frequency
    13
    27
    44
    15
    27
  • (iii)
    Class-Interval
    15.5 - 25.5
    26.5 - 36.5
    37.5 - 47.5
    48.5 - 58.5
    59.5 - 69.5
    Frequency
    13
    27
    44
    15
    27
  • (iv)
    Class-Interval
    15.5 - 26.5
    26.5 - 37.5
    37.5 - 48.5
    48.5 - 59.5
    59.5 - 70.5
    Frequency
    13
    27
    44
    15
    27
  • (v)
    Class-Interval
    16.5 - 26.5
    27.5 - 37.5
    38.5 - 48.5
    49.5 - 59.5
    60.5 - 70.5
    Frequency
    13
    27
    44
    15
    27
Question 4
4.
    • Ages of 104 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    13 - 19
    19 - 25
    25 - 31
    31 - 37
    37 - 43
    43 - 49
    49 - 55
    No. of students
    15
    12
    20
    11
    12
    17
    17
  • (ii)
    Age (in years)
    13 - 19
    19 - 25
    25 - 31
    31 - 37
    37 - 43
    43 - 49
    49 - 55
    No. of students
    15
    12
    22
    11
    12
    17
    17
  • (iii)
    Age (in years)
    13 - 19
    19 - 25
    25 - 31
    31 - 37
    37 - 43
    43 - 49
    49 - 55
    No. of students
    15
    12
    20
    14
    12
    17
    17
  • (iv)
    Age (in years)
    13 - 19
    19 - 25
    25 - 31
    31 - 37
    37 - 43
    43 - 49
    49 - 55
    No. of students
    15
    17
    20
    11
    12
    17
    12
  • (v)
    Age (in years)
    13 - 19
    19 - 25
    25 - 31
    31 - 37
    37 - 43
    43 - 49
    49 - 55
    No. of students
    15
    20
    12
    11
    12
    17
    17
Question 5
5.
    • Heights of 157 plants (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    68 - 75
    75 - 82
    82 - 89
    89 - 96
    96 - 103
    No. of plants
    17
    17
    49
    40
    34
  • (ii)
    Height (in cm)
    68 - 75
    75 - 82
    82 - 89
    89 - 96
    96 - 103
    No. of plants
    17
    49
    17
    40
    34
  • (iii)
    Height (in cm)
    68 - 75
    75 - 82
    82 - 89
    89 - 96
    96 - 103
    No. of plants
    17
    34
    49
    40
    17
  • (iv)
    Height (in cm)
    68 - 75
    75 - 82
    82 - 89
    89 - 96
    96 - 103
    No. of plants
    17
    17
    45
    40
    34
  • (v)
    Height (in cm)
    68 - 75
    75 - 82
    82 - 89
    89 - 96
    96 - 103
    No. of plants
    17
    13
    49
    40
    34
Question 6
6.
    • If some random sample data is arranged in a frequency distribution table in
    • exclusive form
    • with
    • 2
    • -
    • 11
    • as the first class,
    • then the observation
    • 31
    • falls in which class?
  • (i)
    30
    -
    39
  • (ii)
    29
    -
    38
  • (iii)
    29.5
    -
    37.5
  • (iv)
    28.5
    -
    38.5
  • (v)
    28
    -
    37
Question 7
7.
    • Heights of 240 students (in cm) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Height (in cm)
    128 - 133
    133 - 138
    138 - 143
    143 - 148
    148 - 153
    153 - 158
    No. of students
    42
    47
    14
    49
    35
    48
  • (ii)
    Height (in cm)
    128 - 133
    133 - 138
    138 - 143
    143 - 148
    148 - 153
    153 - 158
    No. of students
    42
    47
    19
    44
    35
    48
  • (iii)
    Height (in cm)
    128 - 133
    133 - 138
    138 - 143
    143 - 148
    148 - 153
    153 - 158
    No. of students
    42
    48
    19
    49
    35
    47
  • (iv)
    Height (in cm)
    128 - 133
    133 - 138
    138 - 143
    143 - 148
    148 - 153
    153 - 158
    No. of students
    42
    47
    19
    49
    35
    48
  • (v)
    Height (in cm)
    128 - 133
    133 - 138
    138 - 143
    143 - 148
    148 - 153
    153 - 158
    No. of students
    42
    19
    47
    49
    35
    48
Question 8
8.
    • Given the number of doctors working in government hospitals in a city in various age groups. Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Age (in years)
    33 - 42
    42 - 51
    51 - 60
    60 - 69
    69 - 78
    78 - 87
    No. of doctors
    19
    14
    27
    18
    42
    16
  • (ii)
    Age (in years)
    33 - 42
    42 - 51
    51 - 60
    60 - 69
    69 - 78
    78 - 87
    No. of doctors
    19
    14
    22
    18
    42
    16
  • (iii)
    Age (in years)
    33 - 42
    42 - 51
    51 - 60
    60 - 69
    69 - 78
    78 - 87
    No. of doctors
    19
    22
    14
    18
    42
    16
  • (iv)
    Age (in years)
    33 - 42
    42 - 51
    51 - 60
    60 - 69
    69 - 78
    78 - 87
    No. of doctors
    19
    14
    22
    16
    42
    16
  • (v)
    Age (in years)
    33 - 42
    42 - 51
    51 - 60
    60 - 69
    69 - 78
    78 - 87
    No. of doctors
    19
    16
    22
    18
    42
    14
Question 9
9.
    • Convert the discontinuous form of the class interval 32 - 34 to continuous form
  • (i)
    31
    -
    35
  • (ii)
    31
    -
    34.5
  • (iii)
    31.5
    -
    34.5
  • (iv)
    31.5
    -
    35
  • (v)
    32
    -
    34
Question 10
10.
    • Heights of 94 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    53 - 63
    64 - 74
    75 - 85
    86 - 96
    97 - 107
    108 - 118
    119 - 129
    No. of plants
    14
    9
    7
    18
    18
    18
    8
  • (ii)
    Height (in cm)
    53 - 63
    64 - 74
    75 - 85
    86 - 96
    97 - 107
    108 - 118
    119 - 129
    No. of plants
    14
    7
    9
    20
    18
    18
    8
  • (iii)
    Height (in cm)
    53 - 63
    64 - 74
    75 - 85
    86 - 96
    97 - 107
    108 - 118
    119 - 129
    No. of plants
    14
    9
    7
    20
    18
    18
    8
  • (iv)
    Height (in cm)
    53 - 63
    64 - 74
    75 - 85
    86 - 96
    97 - 107
    108 - 118
    119 - 129
    No. of plants
    14
    9
    5
    20
    18
    18
    8
  • (v)
    Height (in cm)
    53 - 63
    64 - 74
    75 - 85
    86 - 96
    97 - 107
    108 - 118
    119 - 129
    No. of plants
    14
    8
    7
    20
    18
    18
    9
Question 11
11.
If the length of the class is 8, then the number of class intervals needed to represent data with range 40 is
  • (i)
    2
  • (ii)
    8
  • (iii)
    4
  • (iv)
    6
  • (v)
    5
Question 12
12.
Rainfall of 309 days (in mm) are given below. Identify the class mark table for the given histogram.
  • (i)
    Rainfall (in mm)
    19
    27
    35
    43
    51
    59
    67
    75
    No. of days
    46
    22
    31
    26
    47
    48
    49
    40
  • (ii)
    Rainfall (in mm)
    19
    27
    35
    43
    51
    59
    67
    75
    No. of days
    46
    40
    31
    26
    44
    48
    49
    22
  • (iii)
    Rainfall (in mm)
    19
    27
    35
    43
    51
    59
    67
    75
    No. of days
    46
    40
    27
    26
    47
    48
    49
    22
  • (iv)
    Rainfall (in mm)
    19
    27
    35
    43
    51
    59
    67
    75
    No. of days
    46
    40
    26
    31
    47
    48
    49
    22
  • (v)
    Rainfall (in mm)
    19
    27
    35
    43
    51
    59
    67
    75
    No. of days
    46
    40
    31
    26
    47
    48
    49
    22
Question 13
13.
    • Given below is the cost of living index for a particular year in a city. Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Cost of living index (in rupees)
    142 - 152
    153 - 163
    164 - 174
    175 - 185
    186 - 196
    197 - 207
    No. of weeks
    6
    5
    7
    9
    8
    9
  • (ii)
    Cost of living index (in rupees)
    142 - 152
    153 - 163
    164 - 174
    175 - 185
    186 - 196
    197 - 207
    No. of weeks
    6
    7
    5
    9
    8
    9
  • (iii)
    Cost of living index (in rupees)
    142 - 152
    153 - 163
    164 - 174
    175 - 185
    186 - 196
    197 - 207
    No. of weeks
    6
    7
    3
    9
    8
    9
  • (iv)
    Cost of living index (in rupees)
    142 - 152
    153 - 163
    164 - 174
    175 - 185
    186 - 196
    197 - 207
    No. of weeks
    6
    7
    5
    6
    8
    9
  • (v)
    Cost of living index (in rupees)
    142 - 152
    153 - 163
    164 - 174
    175 - 185
    186 - 196
    197 - 207
    No. of weeks
    6
    9
    5
    9
    8
    7
Question 14
14.
    • Convert the continuous form of the class interval 15.5 - 18.5 to discontinuous form
  • (i)
    15.5
    -
    18.5
  • (ii)
    16
    -
    18
  • (iii)
    16.5
    -
    17.5
  • (iv)
    15.5
    -
    18
  • (v)
    16
    -
    18.5
Question 15
15.
    • Weights of 165 students (in kg) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Weight (in kg)
    54 - 64
    65 - 75
    76 - 86
    87 - 97
    98 - 108
    No. of students
    50
    37
    36
    25
    22
  • (ii)
    Weight (in kg)
    54 - 64
    65 - 75
    76 - 86
    87 - 97
    98 - 108
    No. of students
    50
    32
    33
    25
    22
  • (iii)
    Weight (in kg)
    54 - 64
    65 - 75
    76 - 86
    87 - 97
    98 - 108
    No. of students
    50
    22
    36
    25
    32
  • (iv)
    Weight (in kg)
    54 - 64
    65 - 75
    76 - 86
    87 - 97
    98 - 108
    No. of students
    50
    32
    36
    25
    22
  • (v)
    Weight (in kg)
    54 - 64
    65 - 75
    76 - 86
    87 - 97
    98 - 108
    No. of students
    50
    36
    32
    25
    22
Question 16
16.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      14 - 22
      15
      22 - 30
      14
      30 - 38
      11
      38 - 46
      11
      46 - 54
      x
  • (i)
    46.5
    -
    53.5
  • (ii)
    46
    -
    54
  • (iii)
    45.5
    -
    54.5
  • (iv)
    46
    -
    54.5
  • (v)
    45.5
    -
    54
Question 17
17.
    • Ages of 226 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    15 - 24
    25 - 34
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    No. of students
    8
    27
    40
    41
    13
    32
    47
    18
  • (ii)
    Age (in years)
    15 - 24
    25 - 34
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    No. of students
    8
    27
    41
    40
    8
    32
    47
    18
  • (iii)
    Age (in years)
    15 - 24
    25 - 34
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    No. of students
    8
    27
    44
    40
    13
    32
    47
    18
  • (iv)
    Age (in years)
    15 - 24
    25 - 34
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    No. of students
    8
    27
    41
    40
    13
    32
    47
    18
  • (v)
    Age (in years)
    15 - 24
    25 - 34
    35 - 44
    45 - 54
    55 - 64
    65 - 74
    75 - 84
    85 - 94
    No. of students
    8
    18
    41
    40
    13
    32
    47
    27
Question 18
18.
The marks obtained by 34 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 20
    less than 25
    less than 30
    less than 35
    less than 40
    No. of students
    8
    12
    21
    26
    32
  • (ii)
    Marks
    less than 20
    less than 25
    less than 30
    less than 35
    less than 40
    No. of students
    8
    14
    27
    32
    38
  • (iii)
    Marks
    less than 20
    less than 25
    less than 30
    less than 35
    less than 40
    No. of students
    8
    17
    23
    28
    34
  • (iv)
    Marks
    less than 20
    less than 25
    less than 30
    less than 35
    less than 40
    No. of students
    8
    14
    23
    28
    34
Question 19
19.
Less than cumulative curves are drawn using
  • (i)
    lower boundaries of classes and less than cumulative frequencies
  • (ii)
    upper 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 20
20.
    • Given class interval
    • 17
    • -
    • 25
    • in exclusive form, its
    • class size is
  • (i)
    7
  • (ii)
    9
  • (iii)
    8
  • (iv)
    11
  • (v)
    5
Question 21
21.
Scores of 183 students are given below. Identify the class mark table for the given histogram.
  • (i)
    Score
    50
    57
    64
    71
    78
    85
    92
    99
    No. of students
    30
    18
    36
    10
    35
    11
    22
    21
  • (ii)
    Score
    50
    57
    64
    71
    78
    85
    92
    99
    No. of students
    30
    21
    36
    10
    35
    11
    22
    18
  • (iii)
    Score
    50
    57
    64
    71
    78
    85
    92
    99
    No. of students
    30
    18
    40
    10
    35
    11
    22
    21
  • (iv)
    Score
    50
    57
    64
    71
    78
    85
    92
    99
    No. of students
    30
    18
    36
    10
    31
    11
    22
    21
  • (v)
    Score
    50
    57
    64
    71
    78
    85
    92
    99
    No. of students
    30
    18
    10
    36
    35
    11
    22
    21
Question 22
22.
    • Temperatures of 64 days (in °C) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Temperature (in degree)
    32 - 39
    40 - 47
    48 - 55
    56 - 63
    64 - 71
    72 - 79
    No. of days
    16
    7
    20
    5
    8
    8
  • (ii)
    Temperature (in degree)
    32 - 39
    40 - 47
    48 - 55
    56 - 63
    64 - 71
    72 - 79
    No. of days
    16
    8
    20
    5
    8
    7
  • (iii)
    Temperature (in degree)
    32 - 39
    40 - 47
    48 - 55
    56 - 63
    64 - 71
    72 - 79
    No. of days
    16
    20
    8
    5
    8
    7
  • (iv)
    Temperature (in degree)
    32 - 39
    40 - 47
    48 - 55
    56 - 63
    64 - 71
    72 - 79
    No. of days
    16
    8
    23
    5
    8
    7
  • (v)
    Temperature (in degree)
    32 - 39
    40 - 47
    48 - 55
    56 - 63
    64 - 71
    72 - 79
    No. of days
    16
    8
    20
    3
    8
    7
Question 23
23.
    • Find the sum of frequencies for the given table
    • Value
      19
      39
      50
      59
      70
      71
      81
      84
      90
      Frequency
      1
      1
      2
      1
      1
      1
      1
      1
      1
  • (i)
    9
  • (ii)
    8
  • (iii)
    10
  • (iv)
    11
  • (v)
    12
Question 24
24.
Daily wages of 158 labourers (in ₹) are given below. Identify the class mark table for the given histogram.
  • (i)
    Daily wage (in Rs)
    238
    244
    250
    256
    262
    268
    No. of labourers
    10
    41
    23
    30
    5
    49
  • (ii)
    Daily wage (in Rs)
    238
    244
    250
    256
    262
    268
    No. of labourers
    10
    49
    23
    34
    5
    41
  • (iii)
    Daily wage (in Rs)
    238
    244
    250
    256
    262
    268
    No. of labourers
    10
    49
    19
    30
    5
    41
  • (iv)
    Daily wage (in Rs)
    238
    244
    250
    256
    262
    268
    No. of labourers
    10
    23
    49
    30
    5
    41
  • (v)
    Daily wage (in Rs)
    238
    244
    250
    256
    262
    268
    No. of labourers
    10
    49
    23
    30
    5
    41
Question 25
25.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      44 - 49
      11
      50 - 55
      7
      56 - 61
      23
      62 - 67
      6
      68 - 73
      x
  • (i)
    67.5
    -
    73.5
  • (ii)
    67.5
    -
    74
  • (iii)
    67
    -
    74
  • (iv)
    67
    -
    73.5
  • (v)
    68
    -
    73
    Assignment Key
  •  1) (v)
  •  2) (iv)
  •  3) (iv)
  •  4) (i)
  •  5) (i)
  •  6) (ii)
  •  7) (iv)
  •  8) (ii)
  •  9) (iii)
  •  10) (iii)
  •  11) (v)
  •  12) (v)
  •  13) (ii)
  •  14) (ii)
  •  15) (iv)
  •  16) (ii)
  •  17) (iv)
  •  18) (iv)
  •  19) (ii)
  •  20) (iii)
  •  21) (i)
  •  22) (ii)
  •  23) (iii)
  •  24) (v)
  •  25) (i)