EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • Heights of 104 plants (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    56 - 63
    64 - 71
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of plants
    20
    11
    14
    10
    15
    15
    19
  • (ii)
    Height (in cm)
    56 - 63
    64 - 71
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of plants
    20
    14
    19
    10
    15
    15
    11
  • (iii)
    Height (in cm)
    56 - 63
    64 - 71
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of plants
    20
    19
    14
    10
    15
    15
    11
  • (iv)
    Height (in cm)
    56 - 63
    64 - 71
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of plants
    20
    19
    9
    10
    15
    15
    11
  • (v)
    Height (in cm)
    56 - 63
    64 - 71
    72 - 79
    80 - 87
    88 - 95
    96 - 103
    104 - 111
    No. of plants
    20
    19
    14
    7
    15
    15
    11
Question 2
2.
Identify the class interval table for the given histogram.
  • (i)
    Weight (in kg)
    17 - 20
    21 - 24
    25 - 28
    29 - 32
    33 - 36
    No. of students
    30
    11
    23
    7
    5
  • (ii)
    Weight (in kg)
    17 - 20
    21 - 24
    25 - 28
    29 - 32
    33 - 36
    No. of students
    30
    11
    26
    7
    5
  • (iii)
    Weight (in kg)
    17 - 20
    21 - 24
    25 - 28
    29 - 32
    33 - 36
    No. of students
    30
    5
    26
    7
    11
  • (iv)
    Weight (in kg)
    17 - 20
    21 - 24
    25 - 28
    29 - 32
    33 - 36
    No. of students
    30
    26
    11
    7
    5
  • (v)
    Weight (in kg)
    17 - 20
    21 - 24
    25 - 28
    29 - 32
    33 - 36
    No. of students
    30
    7
    26
    7
    5
Question 3
3.
    • Construct a frequency distribution table from the following cumulative frequency distribution
    • Class-Interval
      Cumulative Frequency
      18 - 23
      16
      23 - 28
      29
      28 - 33
      42
      33 - 38
      58
      38 - 43
      67
  • (i)
    Class-Interval
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    38 - 43
    Frequency
    16
    15
    13
    16
    9
  • (ii)
    Class-Interval
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    38 - 43
    Frequency
    16
    13
    13
    16
    9
  • (iii)
    Class-Interval
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    38 - 43
    Frequency
    16
    13
    10
    16
    9
  • (iv)
    Class-Interval
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    38 - 43
    Frequency
    16
    9
    13
    16
    13
Question 4
4.
    • Weights of 227 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    59 - 64
    65 - 70
    71 - 76
    77 - 82
    83 - 88
    89 - 94
    95 - 100
    101 - 106
    No. of students
    24
    22
    47
    46
    8
    49
    8
    19
  • (ii)
    Weight (in kg)
    59 - 64
    65 - 70
    71 - 76
    77 - 82
    83 - 88
    89 - 94
    95 - 100
    101 - 106
    No. of students
    24
    22
    46
    47
    12
    49
    8
    19
  • (iii)
    Weight (in kg)
    59 - 64
    65 - 70
    71 - 76
    77 - 82
    83 - 88
    89 - 94
    95 - 100
    101 - 106
    No. of students
    24
    19
    47
    46
    12
    49
    8
    22
  • (iv)
    Weight (in kg)
    59 - 64
    65 - 70
    71 - 76
    77 - 82
    83 - 88
    89 - 94
    95 - 100
    101 - 106
    No. of students
    24
    22
    50
    46
    12
    49
    8
    19
  • (v)
    Weight (in kg)
    59 - 64
    65 - 70
    71 - 76
    77 - 82
    83 - 88
    89 - 94
    95 - 100
    101 - 106
    No. of students
    24
    22
    47
    46
    12
    49
    8
    19
Question 5
5.
    • Temperatures of 172 days (in °C) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Temperature (in degree)
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    61 - 70
    70 - 79
    No. of days
    40
    41
    26
    16
    16
    33
  • (ii)
    Temperature (in degree)
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    61 - 70
    70 - 79
    No. of days
    40
    41
    26
    12
    16
    33
  • (iii)
    Temperature (in degree)
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    61 - 70
    70 - 79
    No. of days
    40
    26
    41
    16
    16
    33
  • (iv)
    Temperature (in degree)
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    61 - 70
    70 - 79
    No. of days
    40
    41
    30
    16
    16
    33
  • (v)
    Temperature (in degree)
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    61 - 70
    70 - 79
    No. of days
    40
    33
    26
    16
    16
    41
Question 6
6.
    • Heights of 176 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    129 - 138
    138 - 147
    147 - 156
    156 - 165
    165 - 174
    174 - 183
    No. of students
    44
    10
    42
    26
    43
    13
  • (ii)
    Height (in cm)
    129 - 138
    138 - 147
    147 - 156
    156 - 165
    165 - 174
    174 - 183
    No. of students
    44
    10
    40
    26
    43
    13
  • (iii)
    Height (in cm)
    129 - 138
    138 - 147
    147 - 156
    156 - 165
    165 - 174
    174 - 183
    No. of students
    44
    13
    40
    26
    43
    10
  • (iv)
    Height (in cm)
    129 - 138
    138 - 147
    147 - 156
    156 - 165
    165 - 174
    174 - 183
    No. of students
    44
    10
    40
    21
    43
    13
  • (v)
    Height (in cm)
    129 - 138
    138 - 147
    147 - 156
    156 - 165
    165 - 174
    174 - 183
    No. of students
    44
    40
    10
    26
    43
    13
Question 7
7.
    • Ages of 118 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    11 - 20
    20 - 29
    29 - 38
    38 - 47
    47 - 56
    56 - 65
    65 - 74
    No. of students
    6
    12
    23
    32
    11
    14
    23
  • (ii)
    Age (in years)
    11 - 20
    20 - 29
    29 - 38
    38 - 47
    47 - 56
    56 - 65
    65 - 74
    No. of students
    6
    23
    23
    29
    11
    14
    12
  • (iii)
    Age (in years)
    11 - 20
    20 - 29
    29 - 38
    38 - 47
    47 - 56
    56 - 65
    65 - 74
    No. of students
    6
    12
    23
    29
    11
    14
    23
  • (iv)
    Age (in years)
    11 - 20
    20 - 29
    29 - 38
    38 - 47
    47 - 56
    56 - 65
    65 - 74
    No. of students
    6
    23
    12
    29
    11
    14
    23
  • (v)
    Age (in years)
    11 - 20
    20 - 29
    29 - 38
    38 - 47
    47 - 56
    56 - 65
    65 - 74
    No. of students
    6
    12
    20
    29
    11
    14
    23
Question 8
8.
    • Heights of 246 students (in cm) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Height (in cm)
    123 - 129
    129 - 135
    135 - 141
    141 - 147
    147 - 153
    153 - 159
    159 - 165
    165 - 171
    No. of students
    26
    25
    27
    50
    28
    30
    42
    21
  • (ii)
    Height (in cm)
    123 - 129
    129 - 135
    135 - 141
    141 - 147
    147 - 153
    153 - 159
    159 - 165
    165 - 171
    No. of students
    26
    25
    24
    50
    28
    30
    42
    21
  • (iii)
    Height (in cm)
    123 - 129
    129 - 135
    135 - 141
    141 - 147
    147 - 153
    153 - 159
    159 - 165
    165 - 171
    No. of students
    26
    21
    24
    50
    28
    30
    42
    25
  • (iv)
    Height (in cm)
    123 - 129
    129 - 135
    135 - 141
    141 - 147
    147 - 153
    153 - 159
    159 - 165
    165 - 171
    No. of students
    26
    25
    24
    50
    23
    30
    42
    21
  • (v)
    Height (in cm)
    123 - 129
    129 - 135
    135 - 141
    141 - 147
    147 - 153
    153 - 159
    159 - 165
    165 - 171
    No. of students
    26
    25
    50
    24
    28
    30
    42
    21
Question 9
9.
    • Ages of 225 students (in years) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Age (in years)
    14 - 20
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    No. of students
    50
    5
    16
    30
    27
    17
    48
    32
  • (ii)
    Age (in years)
    14 - 20
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    No. of students
    50
    32
    16
    30
    27
    17
    48
    5
  • (iii)
    Age (in years)
    14 - 20
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    No. of students
    50
    32
    30
    16
    27
    17
    48
    5
  • (iv)
    Age (in years)
    14 - 20
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    No. of students
    50
    32
    16
    30
    31
    17
    48
    5
  • (v)
    Age (in years)
    14 - 20
    21 - 27
    28 - 34
    35 - 41
    42 - 48
    49 - 55
    56 - 62
    63 - 69
    No. of students
    50
    32
    20
    30
    27
    17
    48
    5
Question 10
10.
    • 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)
    295 - 304
    305 - 314
    315 - 324
    325 - 334
    335 - 344
    345 - 354
    355 - 364
    No. of labourers
    11
    14
    19
    12
    12
    12
    8
  • (ii)
    Daily wage (in Rs)
    295 - 304
    305 - 314
    315 - 324
    325 - 334
    335 - 344
    345 - 354
    355 - 364
    No. of labourers
    11
    8
    14
    12
    12
    12
    19
  • (iii)
    Daily wage (in Rs)
    295 - 304
    305 - 314
    315 - 324
    325 - 334
    335 - 344
    345 - 354
    355 - 364
    No. of labourers
    11
    19
    14
    12
    12
    12
    8
  • (iv)
    Daily wage (in Rs)
    295 - 304
    305 - 314
    315 - 324
    325 - 334
    335 - 344
    345 - 354
    355 - 364
    No. of labourers
    11
    19
    11
    12
    12
    12
    8
  • (v)
    Daily wage (in Rs)
    295 - 304
    305 - 314
    315 - 324
    325 - 334
    335 - 344
    345 - 354
    355 - 364
    No. of labourers
    11
    19
    14
    16
    12
    12
    8
Question 11
11.
    • Find the cumulative frequency of class
    • 32
      -
      42
    • .
    • Class-Interval
      12 - 22
      22 - 32
      32 - 42
      42 - 52
      52 - 62
      62 - 72
      72 - 82
      82 - 92
      Frequency
      7
      22
      10
      12
      18
      24
      10
      5
  • (i)
    40
  • (ii)
    39
  • (iii)
    41
  • (iv)
    38
  • (v)
    37
Question 12
12.
The frequency polygon is one drawn using
  • (i)
    end points of classes and frequencies
  • (ii)
    upper boundaries of classes and cumulative frequencies
  • (iii)
    mid point of classes and frequencies
  • (iv)
    lower boundaries of classes and greater than cumulative frequencies
Question 13
13.
Heights of 190 students (in cm) are given below. Identify the class mark table for the given histogram.
  • (i)
    Height (in cm)
    131
    142
    153
    164
    175
    186
    197
    No. of students
    44
    31
    20
    28
    18
    12
    33
  • (ii)
    Height (in cm)
    131
    142
    153
    164
    175
    186
    197
    No. of students
    44
    24
    31
    28
    18
    12
    33
  • (iii)
    Height (in cm)
    131
    142
    153
    164
    175
    186
    197
    No. of students
    44
    31
    24
    28
    18
    12
    33
  • (iv)
    Height (in cm)
    131
    142
    153
    164
    175
    186
    197
    No. of students
    44
    31
    24
    33
    18
    12
    33
  • (v)
    Height (in cm)
    131
    142
    153
    164
    175
    186
    197
    No. of students
    44
    33
    24
    28
    18
    12
    31
Question 14
14.
    • During the medical check-up of 45 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 60 kg
    • Class-Interval
      40 - 50
      50 - 60
      60 - 70
      70 - 80
      80 - 90
      90 - 100
      Frequency
      12
      5
      5
      7
      7
      9
  • (i)
    19
  • (ii)
    14
  • (iii)
    16
  • (iv)
    18
  • (v)
    17
Question 15
15.
    • Convert the discontinuous form of the class interval 19 - 28 to continuous form
  • (i)
    18.5
    -
    28.5
  • (ii)
    18
    -
    28.5
  • (iii)
    18
    -
    29
  • (iv)
    19
    -
    28
  • (v)
    18.5
    -
    29
Question 16
16.
    • Rainfall of 93 days (in mm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Rainfall (in mm)
    15 - 23
    24 - 32
    33 - 41
    42 - 50
    51 - 59
    60 - 68
    69 - 77
    No. of days
    20
    9
    6
    9
    19
    18
    9
  • (ii)
    Rainfall (in mm)
    15 - 23
    24 - 32
    33 - 41
    42 - 50
    51 - 59
    60 - 68
    69 - 77
    No. of days
    20
    9
    9
    11
    19
    18
    9
  • (iii)
    Rainfall (in mm)
    15 - 23
    24 - 32
    33 - 41
    42 - 50
    51 - 59
    60 - 68
    69 - 77
    No. of days
    20
    9
    9
    9
    19
    18
    9
Question 17
17.
    • The lower limit of the class with frequency x is
    • Class-Interval
      Frequency
      40 - 45
      13
      46 - 51
      9
      52 - 57
      17
      58 - 63
      20
      64 - 69
      x
  • (i)
    62
  • (ii)
    64
  • (iii)
    66
  • (iv)
    63
  • (v)
    65
Question 18
18.
    • Scores of 166 students are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Score
    79 - 88
    88 - 97
    97 - 106
    106 - 115
    115 - 124
    124 - 133
    No. of students
    8
    30
    42
    40
    41
    5
  • (ii)
    Score
    79 - 88
    88 - 97
    97 - 106
    106 - 115
    115 - 124
    124 - 133
    No. of students
    8
    5
    42
    35
    41
    30
  • (iii)
    Score
    79 - 88
    88 - 97
    97 - 106
    106 - 115
    115 - 124
    124 - 133
    No. of students
    8
    5
    40
    40
    41
    30
  • (iv)
    Score
    79 - 88
    88 - 97
    97 - 106
    106 - 115
    115 - 124
    124 - 133
    No. of students
    8
    42
    5
    40
    41
    30
  • (v)
    Score
    79 - 88
    88 - 97
    97 - 106
    106 - 115
    115 - 124
    124 - 133
    No. of students
    8
    5
    42
    40
    41
    30
Question 19
19.
    • Given class interval
    • 20
    • -
    • 26
    • in exclusive form, its
    • class size is
  • (i)
    8
  • (ii)
    7
  • (iii)
    3
  • (iv)
    6
  • (v)
    5
Question 20
20.
Heights of 193 plants (in cm) are given below. Identify the class mark table for the given histogram.
  • (i)
    Height (in cm)
    72
    82
    92
    102
    112
    122
    No. of plants
    37
    19
    26
    50
    42
    24
  • (ii)
    Height (in cm)
    72
    82
    92
    102
    112
    122
    No. of plants
    37
    19
    22
    45
    42
    24
  • (iii)
    Height (in cm)
    72
    82
    92
    102
    112
    122
    No. of plants
    37
    26
    19
    45
    42
    24
  • (iv)
    Height (in cm)
    72
    82
    92
    102
    112
    122
    No. of plants
    37
    19
    26
    45
    42
    24
  • (v)
    Height (in cm)
    72
    82
    92
    102
    112
    122
    No. of plants
    37
    24
    26
    45
    42
    19
Question 21
21.
    • Given frequency polygon showing the number of heart patients at various age groups, identify the class interval table.
  • (i)
    Age (in years)
    38 - 48
    49 - 59
    60 - 70
    71 - 81
    82 - 92
    93 - 103
    104 - 114
    115 - 125
    No. of heart patients
    15
    28
    24
    7
    25
    6
    5
    21
  • (ii)
    Age (in years)
    38 - 48
    49 - 59
    60 - 70
    71 - 81
    82 - 92
    93 - 103
    104 - 114
    115 - 125
    No. of heart patients
    15
    21
    24
    7
    29
    6
    5
    28
  • (iii)
    Age (in years)
    38 - 48
    49 - 59
    60 - 70
    71 - 81
    82 - 92
    93 - 103
    104 - 114
    115 - 125
    No. of heart patients
    15
    21
    7
    24
    25
    6
    5
    28
  • (iv)
    Age (in years)
    38 - 48
    49 - 59
    60 - 70
    71 - 81
    82 - 92
    93 - 103
    104 - 114
    115 - 125
    No. of heart patients
    15
    21
    20
    7
    25
    6
    5
    28
  • (v)
    Age (in years)
    38 - 48
    49 - 59
    60 - 70
    71 - 81
    82 - 92
    93 - 103
    104 - 114
    115 - 125
    No. of heart patients
    15
    21
    24
    7
    25
    6
    5
    28
Question 22
22.
In a study of heart patients, the following observations are obtained. Identify the class interval table for the given histogram.
  • (i)
    Age (in years)
    81 - 85
    86 - 90
    91 - 95
    96 - 100
    101 - 105
    106 - 110
    111 - 115
    116 - 120
    No. of Patients
    28
    10
    43
    22
    21
    16
    27
    27
  • (ii)
    Age (in years)
    81 - 85
    86 - 90
    91 - 95
    96 - 100
    101 - 105
    106 - 110
    111 - 115
    116 - 120
    No. of Patients
    28
    10
    43
    22
    19
    16
    27
    27
  • (iii)
    Age (in years)
    81 - 85
    86 - 90
    91 - 95
    96 - 100
    101 - 105
    106 - 110
    111 - 115
    116 - 120
    No. of Patients
    28
    10
    47
    22
    19
    16
    27
    27
  • (iv)
    Age (in years)
    81 - 85
    86 - 90
    91 - 95
    96 - 100
    101 - 105
    106 - 110
    111 - 115
    116 - 120
    No. of Patients
    28
    27
    43
    22
    19
    16
    27
    10
  • (v)
    Age (in years)
    81 - 85
    86 - 90
    91 - 95
    96 - 100
    101 - 105
    106 - 110
    111 - 115
    116 - 120
    No. of Patients
    28
    10
    22
    43
    19
    16
    27
    27
Question 23
23.
    • 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 - 130
    130 - 136
    136 - 142
    142 - 148
    148 - 154
    154 - 160
    No. of students
    15
    15
    10
    6
    13
    16
  • (ii)
    Height (in cm)
    124 - 130
    130 - 136
    136 - 142
    142 - 148
    148 - 154
    154 - 160
    No. of students
    15
    10
    15
    6
    13
    16
  • (iii)
    Height (in cm)
    124 - 130
    130 - 136
    136 - 142
    142 - 148
    148 - 154
    154 - 160
    No. of students
    15
    15
    10
    2
    13
    16
  • (iv)
    Height (in cm)
    124 - 130
    130 - 136
    136 - 142
    142 - 148
    148 - 154
    154 - 160
    No. of students
    15
    16
    10
    6
    13
    15
  • (v)
    Height (in cm)
    124 - 130
    130 - 136
    136 - 142
    142 - 148
    148 - 154
    154 - 160
    No. of students
    15
    15
    6
    6
    13
    16
Question 24
24.
    • During the medical check-up of 70 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 63 kg
    • Class-Interval
      38 - 43
      43 - 48
      48 - 53
      53 - 58
      58 - 63
      63 - 68
      68 - 73
      Frequency
      10
      12
      9
      10
      6
      12
      11
  • (i)
    23
  • (ii)
    22
  • (iii)
    20
  • (iv)
    26
  • (v)
    24
Question 25
25.
Identify the frequency distribution table for the given ogive.
  • (i)
    Class-Interval
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    57 - 64
    Frequency
    1
    10
    5
    15
    3
    3
    16
  • (ii)
    Class-Interval
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    57 - 64
    Frequency
    11
    19
    14
    19
    15
    16
    1
  • (iii)
    Class-Interval
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    57 - 64
    Frequency
    3
    4
    18
    20
    11
    6
    13
  • (iv)
    Class-Interval
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    57 - 64
    Frequency
    9
    17
    3
    2
    16
    8
    15
  • (v)
    Class-Interval
    15 - 22
    22 - 29
    29 - 36
    36 - 43
    43 - 50
    50 - 57
    57 - 64
    Frequency
    4
    9
    15
    3
    10
    10
    11
    Assignment Key
  •  1) (iii)
  •  2) (ii)
  •  3) (ii)
  •  4) (v)
  •  5) (i)
  •  6) (ii)
  •  7) (iii)
  •  8) (ii)
  •  9) (ii)
  •  10) (iii)
  •  11) (ii)
  •  12) (iii)
  •  13) (iii)
  •  14) (v)
  •  15) (i)
  •  16) (iii)
  •  17) (ii)
  •  18) (v)
  •  19) (iv)
  •  20) (iv)
  •  21) (v)
  •  22) (ii)
  •  23) (i)
  •  24) (i)
  •  25) (iv)