EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Graphical Representation of Statistical Data
Grade : ICSE Grade X
License : Non Commercial Use
Question 1
1.
    • The heights of 57 pupils in a school are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    124 - 134
    135 - 145
    146 - 156
    157 - 167
    168 - 178
    179 - 189
    190 - 200
    201 - 211
    No. of pupils
    9
    3
    9
    3
    12
    8
    6
    9
  • (ii)
    Height (in cm)
    124 - 134
    135 - 145
    146 - 156
    157 - 167
    168 - 178
    179 - 189
    190 - 200
    201 - 211
    No. of pupils
    9
    3
    5
    3
    10
    8
    6
    9
  • (iii)
    Height (in cm)
    124 - 134
    135 - 145
    146 - 156
    157 - 167
    168 - 178
    179 - 189
    190 - 200
    201 - 211
    No. of pupils
    9
    9
    9
    3
    10
    8
    6
    3
  • (iv)
    Height (in cm)
    124 - 134
    135 - 145
    146 - 156
    157 - 167
    168 - 178
    179 - 189
    190 - 200
    201 - 211
    No. of pupils
    9
    3
    3
    9
    10
    8
    6
    9
  • (v)
    Height (in cm)
    124 - 134
    135 - 145
    146 - 156
    157 - 167
    168 - 178
    179 - 189
    190 - 200
    201 - 211
    No. of pupils
    9
    3
    9
    3
    10
    8
    6
    9
Question 2
2.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Class-Interval
    18 - 24
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    Frequency
    20
    15
    8
    17
    18
    6
  • (ii)
    Class-Interval
    18 - 24
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    Frequency
    6
    9
    7
    2
    10
    5
  • (iii)
    Class-Interval
    18 - 24
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    Frequency
    17
    7
    8
    14
    12
    12
  • (iv)
    Class-Interval
    18 - 24
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    Frequency
    12
    6
    9
    12
    11
    7
  • (v)
    Class-Interval
    18 - 24
    24 - 30
    30 - 36
    36 - 42
    42 - 48
    48 - 54
    Frequency
    12
    10
    15
    13
    7
    9
Question 3
3.
    • Heights of 243 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Height (in cm)
    125 - 131
    131 - 137
    137 - 143
    143 - 149
    149 - 155
    155 - 161
    No. of students
    40
    33
    38
    48
    48
    34
  • (ii)
    Height (in cm)
    125 - 131
    131 - 137
    137 - 143
    143 - 149
    149 - 155
    155 - 161
    No. of students
    40
    34
    38
    50
    48
    33
  • (iii)
    Height (in cm)
    125 - 131
    131 - 137
    137 - 143
    143 - 149
    149 - 155
    155 - 161
    No. of students
    40
    38
    33
    50
    48
    34
  • (iv)
    Height (in cm)
    125 - 131
    131 - 137
    137 - 143
    143 - 149
    149 - 155
    155 - 161
    No. of students
    40
    33
    38
    50
    48
    34
  • (v)
    Height (in cm)
    125 - 131
    131 - 137
    137 - 143
    143 - 149
    149 - 155
    155 - 161
    No. of students
    40
    33
    42
    50
    48
    34
Question 4
4.
    • Heights of 168 students (in cm) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Height (in cm)
    124 - 131
    132 - 139
    140 - 147
    148 - 155
    156 - 163
    No. of students
    35
    29
    46
    35
    23
  • (ii)
    Height (in cm)
    124 - 131
    132 - 139
    140 - 147
    148 - 155
    156 - 163
    No. of students
    35
    42
    29
    35
    23
  • (iii)
    Height (in cm)
    124 - 131
    132 - 139
    140 - 147
    148 - 155
    156 - 163
    No. of students
    35
    46
    33
    35
    23
  • (iv)
    Height (in cm)
    124 - 131
    132 - 139
    140 - 147
    148 - 155
    156 - 163
    No. of students
    35
    23
    29
    35
    46
  • (v)
    Height (in cm)
    124 - 131
    132 - 139
    140 - 147
    148 - 155
    156 - 163
    No. of students
    35
    46
    29
    35
    23
Question 5
5.
    • Ages of 96 students (in years) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Age (in years)
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    No. of students
    9
    17
    48
    13
    9
  • (ii)
    Age (in years)
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    No. of students
    9
    17
    45
    13
    9
  • (iii)
    Age (in years)
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    No. of students
    9
    48
    17
    13
    9
  • (iv)
    Age (in years)
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    No. of students
    9
    9
    48
    13
    17
  • (v)
    Age (in years)
    10 - 16
    16 - 22
    22 - 28
    28 - 34
    34 - 40
    No. of students
    9
    15
    48
    13
    9
Question 6
6.
    • Following are the ages (in years) of patients getting medical treatment in a hospital. Identify the cumulative frequency of the given grouped data.
    • Age (in years)
      20 - 25
      25 - 30
      30 - 35
      35 - 40
      No. of Patients
      23
      56
      16
      80
  • (i)
    Age (in years)
    Cumulative Frequency
    20 - 25
    23
    25 - 30
    75
    30 - 35
    91
    35 - 40
    171
  • (ii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    23
    25 - 30
    79
    30 - 35
    95
    35 - 40
    175
  • (iii)
    Age (in years)
    Cumulative Frequency
    20 - 25
    23
    25 - 30
    79
    30 - 35
    93
    35 - 40
    173
  • (iv)
    Age (in years)
    Cumulative Frequency
    20 - 25
    23
    25 - 30
    39
    30 - 35
    95
    35 - 40
    175
  • (v)
    Age (in years)
    Cumulative Frequency
    20 - 25
    80
    25 - 30
    136
    30 - 35
    152
    35 - 40
    175
Question 7
7.
    • The class size used in the below table is
    • Class-Interval
      22 - 29
      30 - 37
      38 - 45
      46 - 53
      54 - 61
      62 - 69
      Frequency
      4
      14
      23
      20
      11
      30
  • (i)
    10
  • (ii)
    7
  • (iii)
    9
  • (iv)
    5
  • (v)
    8
Question 8
8.
    • The lower limit of the class with frequency x is
    • Class-Interval
      Frequency
      50 - 56
      1
      57 - 63
      16
      64 - 70
      8
      71 - 77
      3
      78 - 84
      x
  • (i)
    79
  • (ii)
    80
  • (iii)
    77
  • (iv)
    78
  • (v)
    75
Question 9
9.
    • Weights of 101 students (in kg) are given below.
    • Identify the class interval table for the given histogram.
  • (i)
    Weight (in kg)
    58 - 66
    67 - 75
    76 - 84
    85 - 93
    94 - 102
    No. of students
    40
    13
    28
    13
    7
  • (ii)
    Weight (in kg)
    58 - 66
    67 - 75
    76 - 84
    85 - 93
    94 - 102
    No. of students
    40
    10
    28
    13
    7
  • (iii)
    Weight (in kg)
    58 - 66
    67 - 75
    76 - 84
    85 - 93
    94 - 102
    No. of students
    40
    7
    28
    13
    13
  • (iv)
    Weight (in kg)
    58 - 66
    67 - 75
    76 - 84
    85 - 93
    94 - 102
    No. of students
    40
    28
    13
    13
    7
  • (v)
    Weight (in kg)
    58 - 66
    67 - 75
    76 - 84
    85 - 93
    94 - 102
    No. of students
    40
    13
    25
    13
    7
Question 10
10.
Greater than cumulative curves are drawn using
  • (i)
    lower boundaries of classes and greater than cumulative frequencies
  • (ii)
    upper boundaries of classes and less than cumulative frequencies
  • (iii)
    upper boundaries of classes and greater than cumulative frequencies
  • (iv)
    mid values of classes and greater than cumulative frequencies
Question 11
11.
    • Heights of 58 students (in cm) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Height (in cm)
    130 - 136
    137 - 143
    144 - 150
    151 - 157
    158 - 164
    165 - 171
    No. of students
    7
    6
    7
    11
    15
    10
  • (ii)
    Height (in cm)
    130 - 136
    137 - 143
    144 - 150
    151 - 157
    158 - 164
    165 - 171
    No. of students
    7
    6
    7
    13
    15
    10
  • (iii)
    Height (in cm)
    130 - 136
    137 - 143
    144 - 150
    151 - 157
    158 - 164
    165 - 171
    No. of students
    7
    7
    6
    13
    15
    10
  • (iv)
    Height (in cm)
    130 - 136
    137 - 143
    144 - 150
    151 - 157
    158 - 164
    165 - 171
    No. of students
    7
    10
    7
    13
    15
    6
  • (v)
    Height (in cm)
    130 - 136
    137 - 143
    144 - 150
    151 - 157
    158 - 164
    165 - 171
    No. of students
    7
    6
    5
    13
    15
    10
Question 12
12.
Identify the class interval table for the given histogram.
  • (i)
    Weight (in kg)
    49 - 54
    55 - 60
    61 - 66
    67 - 72
    73 - 78
    No. of students
    21
    25
    28
    10
    13
  • (ii)
    Weight (in kg)
    49 - 54
    55 - 60
    61 - 66
    67 - 72
    73 - 78
    No. of students
    21
    15
    28
    10
    25
  • (iii)
    Weight (in kg)
    49 - 54
    55 - 60
    61 - 66
    67 - 72
    73 - 78
    No. of students
    21
    13
    28
    10
    25
  • (iv)
    Weight (in kg)
    49 - 54
    55 - 60
    61 - 66
    67 - 72
    73 - 78
    No. of students
    21
    13
    31
    10
    25
  • (v)
    Weight (in kg)
    49 - 54
    55 - 60
    61 - 66
    67 - 72
    73 - 78
    No. of students
    21
    28
    13
    10
    25
Question 13
13.
    • Weights of 147 students (in kg) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Weight (in kg)
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    No. of students
    17
    38
    12
    10
    19
    23
    10
    18
  • (ii)
    Weight (in kg)
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    No. of students
    17
    18
    12
    10
    19
    23
    10
    38
  • (iii)
    Weight (in kg)
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    No. of students
    17
    18
    12
    10
    23
    23
    10
    38
  • (iv)
    Weight (in kg)
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    No. of students
    17
    18
    10
    12
    19
    23
    10
    38
  • (v)
    Weight (in kg)
    50 - 57
    58 - 65
    66 - 73
    74 - 81
    82 - 89
    90 - 97
    98 - 105
    106 - 113
    No. of students
    17
    18
    16
    10
    19
    23
    10
    38
Question 14
14.
Identify the frequency distribution table for the given ogive.
  • (i)
    Class-Interval
    14 - 21
    21 - 28
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    Frequency
    9
    14
    16
    2
    8
    2
    2
  • (ii)
    Class-Interval
    14 - 21
    21 - 28
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    Frequency
    17
    16
    4
    7
    11
    1
    18
  • (iii)
    Class-Interval
    14 - 21
    21 - 28
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    Frequency
    8
    17
    3
    18
    7
    16
    13
  • (iv)
    Class-Interval
    14 - 21
    21 - 28
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    Frequency
    16
    6
    12
    4
    11
    7
    6
  • (v)
    Class-Interval
    14 - 21
    21 - 28
    28 - 35
    35 - 42
    42 - 49
    49 - 56
    56 - 63
    Frequency
    6
    15
    19
    12
    14
    8
    1
Question 15
15.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Class-Interval
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    Frequency
    10
    48
    22
    32
    26
    11
    28
  • (ii)
    Class-Interval
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    Frequency
    10
    28
    22
    32
    26
    11
    48
  • (iii)
    Class-Interval
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    Frequency
    10
    22
    28
    32
    26
    11
    48
  • (iv)
    Class-Interval
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    Frequency
    10
    28
    22
    27
    26
    11
    48
  • (v)
    Class-Interval
    37 - 47
    47 - 57
    57 - 67
    67 - 77
    77 - 87
    87 - 97
    97 - 107
    Frequency
    10
    28
    27
    32
    26
    11
    48
Question 16
16.
    • Daily wages of 289 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Daily wage (in Rs)
    251 - 260
    261 - 270
    271 - 280
    281 - 290
    291 - 300
    301 - 310
    311 - 320
    321 - 330
    No. of labourers
    25
    31
    47
    44
    11
    37
    45
    49
  • (ii)
    Daily wage (in Rs)
    251 - 260
    261 - 270
    271 - 280
    281 - 290
    291 - 300
    301 - 310
    311 - 320
    321 - 330
    No. of labourers
    25
    31
    44
    47
    11
    37
    45
    49
  • (iii)
    Daily wage (in Rs)
    251 - 260
    261 - 270
    271 - 280
    281 - 290
    291 - 300
    301 - 310
    311 - 320
    321 - 330
    No. of labourers
    25
    49
    44
    47
    11
    37
    45
    31
  • (iv)
    Daily wage (in Rs)
    251 - 260
    261 - 270
    271 - 280
    281 - 290
    291 - 300
    301 - 310
    311 - 320
    321 - 330
    No. of labourers
    25
    31
    44
    47
    13
    37
    45
    49
  • (v)
    Daily wage (in Rs)
    251 - 260
    261 - 270
    271 - 280
    281 - 290
    291 - 300
    301 - 310
    311 - 320
    321 - 330
    No. of labourers
    25
    31
    46
    47
    11
    37
    45
    49
Question 17
17.
Heights of 208 students (in cm) are given below. Identify the class mark table for the given histogram.
  • (i)
    Height (in cm)
    129.5
    137.5
    145.5
    153.5
    161.5
    169.5
    177.5
    185.5
    No. of students
    23
    47
    12
    16
    20
    8
    38
    44
  • (ii)
    Height (in cm)
    129.5
    137.5
    145.5
    153.5
    161.5
    169.5
    177.5
    185.5
    No. of students
    23
    47
    12
    16
    23
    8
    38
    44
  • (iii)
    Height (in cm)
    129.5
    137.5
    145.5
    153.5
    161.5
    169.5
    177.5
    185.5
    No. of students
    23
    44
    12
    16
    20
    8
    38
    47
  • (iv)
    Height (in cm)
    129.5
    137.5
    145.5
    153.5
    161.5
    169.5
    177.5
    185.5
    No. of students
    23
    47
    16
    12
    20
    8
    38
    44
  • (v)
    Height (in cm)
    129.5
    137.5
    145.5
    153.5
    161.5
    169.5
    177.5
    185.5
    No. of students
    23
    47
    14
    16
    20
    8
    38
    44
Question 18
18.
    • If some random sample data is arranged in a frequency distribution table in
    • exclusive form
    • with
    • 1
    • -
    • 9
    • as the first class,
    • then the observation
    • 32
    • falls in which class?
  • (i)
    25
    -
    33
  • (ii)
    25.5
    -
    32.5
  • (iii)
    26
    -
    34
  • (iv)
    24
    -
    32
  • (v)
    24.5
    -
    33.5
Question 19
19.
    • Ages of 114 students (in years) are given below.
    • Identify the frequency distribution table for the given '
    • less than
    • ' ogive.
  • (i)
    Age (in years)
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    66 - 74
    75 - 83
    No. of students
    11
    20
    11
    20
    16
    13
    7
    18
  • (ii)
    Age (in years)
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    66 - 74
    75 - 83
    No. of students
    11
    20
    11
    20
    14
    13
    7
    18
  • (iii)
    Age (in years)
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    66 - 74
    75 - 83
    No. of students
    11
    20
    6
    20
    14
    13
    7
    18
  • (iv)
    Age (in years)
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    66 - 74
    75 - 83
    No. of students
    11
    20
    20
    11
    14
    13
    7
    18
  • (v)
    Age (in years)
    12 - 20
    21 - 29
    30 - 38
    39 - 47
    48 - 56
    57 - 65
    66 - 74
    75 - 83
    No. of students
    11
    18
    11
    20
    14
    13
    7
    20
Question 20
20.
    • Given class interval
    • 32
    • -
    • 36
    • in exclusive form, its
    • lower limit is
  • (i)
    30
  • (ii)
    33
  • (iii)
    32
  • (iv)
    34
  • (v)
    31
Question 21
21.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      20 - 28
      29 - 37
      38 - 46
      47 - 55
      56 - 64
      65 - 73
      Frequency
      28
      25
      9
      20
      17
      25
  • (i)
    121
  • (ii)
    125
  • (iii)
    126
  • (iv)
    123
  • (v)
    124
Question 22
22.
    • Given class interval
    • 23
    • -
    • 27
    • in exclusive form, its
    • upper limit is
  • (i)
    28
  • (ii)
    25
  • (iii)
    26
  • (iv)
    29
  • (v)
    27
Question 23
23.
    • Rainfall of 226 days (in mm) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • (i)
    Rainfall (in mm)
    14 - 22
    23 - 31
    32 - 40
    41 - 49
    50 - 58
    59 - 67
    68 - 76
    77 - 85
    No. of days
    40
    7
    8
    39
    50
    7
    50
    25
  • (ii)
    Rainfall (in mm)
    14 - 22
    23 - 31
    32 - 40
    41 - 49
    50 - 58
    59 - 67
    68 - 76
    77 - 85
    No. of days
    40
    25
    8
    39
    50
    7
    50
    7
  • (iii)
    Rainfall (in mm)
    14 - 22
    23 - 31
    32 - 40
    41 - 49
    50 - 58
    59 - 67
    68 - 76
    77 - 85
    No. of days
    40
    7
    5
    39
    50
    7
    50
    25
  • (iv)
    Rainfall (in mm)
    14 - 22
    23 - 31
    32 - 40
    41 - 49
    50 - 58
    59 - 67
    68 - 76
    77 - 85
    No. of days
    40
    7
    39
    8
    50
    7
    50
    25
  • (v)
    Rainfall (in mm)
    14 - 22
    23 - 31
    32 - 40
    41 - 49
    50 - 58
    59 - 67
    68 - 76
    77 - 85
    No. of days
    40
    7
    8
    39
    48
    7
    50
    25
Question 24
24.
Which of the following class intervals are in exclusive form?
a)
41 - 48 , 49 - 56 , 57 - 64,...
b)
17 - 24 , 24 - 31 , 31 - 38,...
c)
16.5 - 24.5 , 24.5 - 32.5 , 32.5 - 40.5...
d)
38 - 45 , 45 - 52 , 52 - 59...
e)
17 - 24 , 25 - 32 , 33 - 40,...
  • (i)
    {b,c,d}
  • (ii)
    {e,c}
  • (iii)
    {a,b,c}
  • (iv)
    {a,b}
  • (v)
    {a,e,d}
Question 25
25.
    • Weights of 197 students (in kg) are given below.
    • Identify the class interval table for the given frequency polygon.
  • (i)
    Weight (in kg)
    40 - 45
    46 - 51
    52 - 57
    58 - 63
    64 - 69
    70 - 75
    76 - 81
    No. of students
    23
    47
    15
    37
    13
    50
    16
  • (ii)
    Weight (in kg)
    40 - 45
    46 - 51
    52 - 57
    58 - 63
    64 - 69
    70 - 75
    76 - 81
    No. of students
    23
    11
    47
    37
    13
    50
    16
  • (iii)
    Weight (in kg)
    40 - 45
    46 - 51
    52 - 57
    58 - 63
    64 - 69
    70 - 75
    76 - 81
    No. of students
    23
    47
    11
    34
    13
    50
    16
  • (iv)
    Weight (in kg)
    40 - 45
    46 - 51
    52 - 57
    58 - 63
    64 - 69
    70 - 75
    76 - 81
    No. of students
    23
    47
    11
    37
    13
    50
    16
  • (v)
    Weight (in kg)
    40 - 45
    46 - 51
    52 - 57
    58 - 63
    64 - 69
    70 - 75
    76 - 81
    No. of students
    23
    16
    11
    37
    13
    50
    47
    Assignment Key
  •  1) (v)
  •  2) (iv)
  •  3) (iv)
  •  4) (v)
  •  5) (i)
  •  6) (ii)
  •  7) (v)
  •  8) (iv)
  •  9) (i)
  •  10) (i)
  •  11) (ii)
  •  12) (iii)
  •  13) (ii)
  •  14) (i)
  •  15) (ii)
  •  16) (ii)
  •  17) (i)
  •  18) (i)
  •  19) (ii)
  •  20) (iii)
  •  21) (v)
  •  22) (v)
  •  23) (i)
  •  24) (i)
  •  25) (iv)