ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade X - Graphical Representation of Statistical Data
Question 1
1.
If the sample data with range 70 has to be divided into 7 class intervals, then the length of the class is
  • 7
  • 9
  • 10
  • 12
  • 11
Question 2
2.
    • Heights of 115 students (in cm) are given below.
    • Identify the class interval table for the given frequency polygon.
  • Height (in cm)
    124 - 131
    132 - 139
    140 - 147
    148 - 155
    156 - 163
    No. of students
    31
    10
    41
    5
    26
  • Height (in cm)
    124 - 131
    132 - 139
    140 - 147
    148 - 155
    156 - 163
    No. of students
    31
    12
    46
    5
    26
  • Height (in cm)
    124 - 131
    132 - 139
    140 - 147
    148 - 155
    156 - 163
    No. of students
    31
    26
    41
    5
    12
  • Height (in cm)
    124 - 131
    132 - 139
    140 - 147
    148 - 155
    156 - 163
    No. of students
    31
    41
    12
    5
    26
  • Height (in cm)
    124 - 131
    132 - 139
    140 - 147
    148 - 155
    156 - 163
    No. of students
    31
    12
    41
    5
    26
Question 3
3.
    • Heights of 150 plants (in cm) are given below.
    • Identify the class interval table for the given histogram and frequency polygon on the same graph.
  • Height (in cm)
    57 - 64
    65 - 72
    73 - 80
    81 - 88
    89 - 96
    No. of plants
    33
    29
    42
    14
    32
  • Height (in cm)
    57 - 64
    65 - 72
    73 - 80
    81 - 88
    89 - 96
    No. of plants
    33
    29
    37
    14
    32
  • Height (in cm)
    57 - 64
    65 - 72
    73 - 80
    81 - 88
    89 - 96
    No. of plants
    33
    32
    42
    14
    29
  • Height (in cm)
    57 - 64
    65 - 72
    73 - 80
    81 - 88
    89 - 96
    No. of plants
    33
    42
    29
    14
    32
  • Height (in cm)
    57 - 64
    65 - 72
    73 - 80
    81 - 88
    89 - 96
    No. of plants
    33
    24
    42
    14
    32
Question 4
4.
    • Daily wages of 249 labourers (in ₹) are given below.
    • Identify the class interval table for the given frequency polygon.
  • Daily wage (in Rs)
    226 - 233
    233 - 240
    240 - 247
    247 - 254
    254 - 261
    261 - 268
    268 - 275
    275 - 282
    No. of labourers
    40
    19
    18
    23
    17
    50
    40
    45
  • Daily wage (in Rs)
    226 - 233
    233 - 240
    240 - 247
    247 - 254
    254 - 261
    261 - 268
    268 - 275
    275 - 282
    No. of labourers
    40
    19
    15
    23
    19
    50
    40
    45
  • Daily wage (in Rs)
    226 - 233
    233 - 240
    240 - 247
    247 - 254
    254 - 261
    261 - 268
    268 - 275
    275 - 282
    No. of labourers
    40
    45
    15
    23
    17
    50
    40
    19
  • Daily wage (in Rs)
    226 - 233
    233 - 240
    240 - 247
    247 - 254
    254 - 261
    261 - 268
    268 - 275
    275 - 282
    No. of labourers
    40
    19
    15
    23
    17
    50
    40
    45
  • Daily wage (in Rs)
    226 - 233
    233 - 240
    240 - 247
    247 - 254
    254 - 261
    261 - 268
    268 - 275
    275 - 282
    No. of labourers
    40
    19
    23
    15
    17
    50
    40
    45
Question 5
5.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      26 - 35
      35 - 44
      44 - 53
      53 - 62
      62 - 71
      71 - 80
      80 - 89
      89 - 98
      frequency
      15
      15
      11
      23
      16
      16
      12
      22
  • class interval
    Cumulative Frequency
    26 - 35
    15
    35 - 44
    37
    44 - 53
    48
    53 - 62
    71
    62 - 71
    87
    71 - 80
    103
    80 - 89
    115
    89 - 98
    130
  • class interval
    Cumulative Frequency
    26 - 35
    15
    35 - 44
    30
    44 - 53
    41
    53 - 62
    64
    62 - 71
    80
    71 - 80
    96
    80 - 89
    108
    89 - 98
    130
  • class interval
    Cumulative Frequency
    26 - 35
    15
    35 - 44
    30
    44 - 53
    53
    53 - 62
    64
    62 - 71
    80
    71 - 80
    96
    80 - 89
    108
    89 - 98
    130
  • class interval
    Cumulative Frequency
    26 - 35
    15
    35 - 44
    30
    44 - 53
    41
    53 - 62
    64
    62 - 71
    84
    71 - 80
    100
    80 - 89
    112
    89 - 98
    134
  • class interval
    Cumulative Frequency
    26 - 35
    15
    35 - 44
    30
    44 - 53
    45
    53 - 62
    68
    62 - 71
    84
    71 - 80
    100
    80 - 89
    112
    89 - 98
    134
Question 6
6.
    • Scores of 237 students are given below.
    • Identify the class interval table for the given histogram.
  • Score
    71 - 80
    80 - 89
    89 - 98
    98 - 107
    107 - 116
    116 - 125
    125 - 134
    134 - 143
    No. of students
    46
    18
    49
    13
    14
    38
    21
    38
  • Score
    71 - 80
    80 - 89
    89 - 98
    98 - 107
    107 - 116
    116 - 125
    125 - 134
    134 - 143
    No. of students
    46
    38
    49
    13
    9
    38
    21
    18
  • Score
    71 - 80
    80 - 89
    89 - 98
    98 - 107
    107 - 116
    116 - 125
    125 - 134
    134 - 143
    No. of students
    46
    38
    13
    49
    14
    38
    21
    18
  • Score
    71 - 80
    80 - 89
    89 - 98
    98 - 107
    107 - 116
    116 - 125
    125 - 134
    134 - 143
    No. of students
    46
    38
    49
    13
    14
    38
    21
    18
  • Score
    71 - 80
    80 - 89
    89 - 98
    98 - 107
    107 - 116
    116 - 125
    125 - 134
    134 - 143
    No. of students
    46
    38
    51
    13
    14
    38
    21
    18
Question 7
7.
Identify the class interval table for the given histogram.
  • Weight (in kg)
    48 - 50
    50 - 52
    52 - 54
    54 - 56
    56 - 58
    58 - 60
    60 - 62
    No. of students
    9
    5
    12
    17
    5
    21
    13
  • Weight (in kg)
    48 - 50
    50 - 52
    52 - 54
    54 - 56
    56 - 58
    58 - 60
    60 - 62
    No. of students
    9
    12
    5
    17
    5
    21
    13
  • Weight (in kg)
    48 - 50
    50 - 52
    52 - 54
    54 - 56
    56 - 58
    58 - 60
    60 - 62
    No. of students
    9
    13
    12
    17
    5
    21
    5
  • Weight (in kg)
    48 - 50
    50 - 52
    52 - 54
    54 - 56
    56 - 58
    58 - 60
    60 - 62
    No. of students
    9
    5
    12
    14
    5
    21
    13
  • Weight (in kg)
    48 - 50
    50 - 52
    52 - 54
    54 - 56
    56 - 58
    58 - 60
    60 - 62
    No. of students
    9
    5
    17
    17
    5
    21
    13
Question 8
8.
Ages of 101 students (in years) are given below. Identify the class mark table for the given histogram.
  • Age (in years)
    19.5
    27.5
    35.5
    43.5
    51.5
    No. of students
    21
    14
    22
    19
    25
  • Age (in years)
    19.5
    27.5
    35.5
    43.5
    51.5
    No. of students
    21
    22
    14
    19
    25
  • Age (in years)
    19.5
    27.5
    35.5
    43.5
    51.5
    No. of students
    21
    22
    19
    19
    25
  • Age (in years)
    19.5
    27.5
    35.5
    43.5
    51.5
    No. of students
    21
    25
    14
    19
    22
  • Age (in years)
    19.5
    27.5
    35.5
    43.5
    51.5
    No. of students
    21
    18
    14
    19
    25
Question 9
9.
    • Convert the discontinuous form of the class interval 30 - 36 to continuous form
  • 29.5
    -
    36.5
  • 29
    -
    36.5
  • 30
    -
    36
  • 29.5
    -
    37
  • 29
    -
    37
Question 10
10.
    • 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)
      10 - 20
      21 - 31
      32 - 42
      43 - 53
      54 - 64
      65 - 75
      76 - 86
      87 - 97
      No. of Patients
      62
      63
      37
      61
      68
      69
      88
      61
  • Age (in years)
    Cumulative Frequency
    10 - 20
    62
    21 - 31
    125
    32 - 42
    167
    43 - 53
    228
    54 - 64
    296
    65 - 75
    365
    76 - 86
    453
    87 - 97
    514
  • Age (in years)
    Cumulative Frequency
    10 - 20
    62
    21 - 31
    125
    32 - 42
    186
    43 - 53
    223
    54 - 64
    291
    65 - 75
    360
    76 - 86
    448
    87 - 97
    509
  • Age (in years)
    Cumulative Frequency
    10 - 20
    62
    21 - 31
    125
    32 - 42
    162
    43 - 53
    223
    54 - 64
    291
    65 - 75
    360
    76 - 86
    448
    87 - 97
    509
  • Age (in years)
    Cumulative Frequency
    10 - 20
    62
    21 - 31
    125
    32 - 42
    162
    43 - 53
    223
    54 - 64
    287
    65 - 75
    356
    76 - 86
    444
    87 - 97
    505
  • Age (in years)
    Cumulative Frequency
    10 - 20
    62
    21 - 31
    123
    32 - 42
    160
    43 - 53
    221
    54 - 64
    289
    65 - 75
    358
    76 - 86
    446
    87 - 97
    509