ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Frequency Distribution
Question 1
1.
    • Find the cumulative frequency of class
    • 25
      -
      32
    • .
    • Class-Interval
      11 - 18
      18 - 25
      25 - 32
      32 - 39
      Frequency
      22
      21
      7
      16
  • 50
  • 49
  • 48
  • 51
  • 53
Question 2
2.
    • If the sum of the following frequency distribution is
    • 24
    • ,
    • find the value of 'x'.
    • Value
      Frequency
      5
      2
      6
      1
      7
      4
      8
      6
      10
      2
      11
      4
      12
      1
      13
      1
      14
      x
  • 5
  • 0
  • 3
  • 2
  • 4
Question 3
3.
    • The marks obtained by
    • 17
    • students in an examination are given below.
    • Represent the data in the form of a frequency distribution table
    • in exclusive form
    • taking class size
    • 5
    • .
      • 66
      • 55
      • 53
      • 46
      • 48
      • 71
      • 69
      • 54
      • 57
      • 52
      • 77
      • 60
      • 49
      • 58
      • 75
      • 47
      • 46
  • Marks
    46 - 51
    51 - 56
    56 - 61
    61 - 66
    66 - 71
    71 - 76
    76 - 81
    No. of Students
    5
    4
    8
    0
    2
    2
    1
  • Marks
    46 - 51
    51 - 56
    56 - 61
    61 - 66
    66 - 71
    71 - 76
    76 - 81
    No. of Students
    5
    4
    3
    0
    2
    2
    1
  • Marks
    46 - 51
    51 - 56
    56 - 61
    61 - 66
    66 - 71
    71 - 76
    76 - 81
    No. of Students
    5
    3
    4
    0
    2
    2
    1
  • Marks
    46 - 51
    51 - 56
    56 - 61
    61 - 66
    66 - 71
    71 - 76
    76 - 81
    No. of Students
    5
    1
    3
    0
    2
    2
    4
  • Marks
    46 - 51
    51 - 56
    56 - 61
    61 - 66
    66 - 71
    71 - 76
    76 - 81
    No. of Students
    5
    4
    3
    5
    2
    2
    1
Question 4
4.
    • The daily wages (in rupees) of
    • 15
    • workers in a factory are given below.
    • Represent the data in the form of a frequency distribution
    • in inclusive form
    • taking class size
    • 20
    • .
      • 272
      • 237
      • 293
      • 224
      • 296
      • 221
      • 251
      • 293
      • 259
      • 247
      • 229
      • 223
      • 253
      • 228
      • 268
  • Wages (in rupees)
    221 - 240
    241 - 260
    261 - 280
    281 - 300
    No. of Workers
    6
    9
    2
    3
  • Wages (in rupees)
    221 - 240
    241 - 260
    261 - 280
    281 - 300
    No. of Workers
    3
    4
    2
    6
  • Wages (in rupees)
    221 - 240
    241 - 260
    261 - 280
    281 - 300
    No. of Workers
    6
    2
    4
    3
  • Wages (in rupees)
    221 - 240
    241 - 260
    261 - 280
    281 - 300
    No. of Workers
    6
    4
    2
    3
  • Wages (in rupees)
    221 - 240
    241 - 260
    261 - 280
    281 - 300
    No. of Workers
    6
    4
    4
    3
Question 5
5.
If the length of the class is 7, then the number of class intervals needed to represent data with range 50 is
  • 9
  • 10
  • 7
  • 5
  • 8
Question 6
6.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      34 - 44
      44 - 54
      54 - 64
      64 - 74
      74 - 84
      84 - 94
      frequency
      7
      18
      25
      5
      22
      23
  • class interval
    Cumulative Frequency
    34 - 44
    7
    44 - 54
    25
    54 - 64
    53
    64 - 74
    58
    74 - 84
    80
    84 - 94
    103
  • class interval
    Cumulative Frequency
    34 - 44
    7
    44 - 54
    30
    54 - 64
    55
    64 - 74
    60
    74 - 84
    82
    84 - 94
    100
  • class interval
    Cumulative Frequency
    34 - 44
    7
    44 - 54
    25
    54 - 64
    50
    64 - 74
    59
    74 - 84
    81
    84 - 94
    104
  • class interval
    Cumulative Frequency
    34 - 44
    7
    44 - 54
    25
    54 - 64
    50
    64 - 74
    55
    74 - 84
    77
    84 - 94
    100
  • class interval
    Cumulative Frequency
    34 - 44
    7
    44 - 54
    32
    54 - 64
    50
    64 - 74
    55
    74 - 84
    77
    84 - 94
    100
Question 7
7.
    • The number of classes of class size
    • 4
    • required to represent
    • the given random sample in exclusive form
      • 1
      • 3
      • 5
      • 6
      • 8
      • 8
      • 8
      • 8
      • 9
      • 9
      • 9
      • 10
      • 10
      • 12
      • 15
      • 15
      • 18
      • 22
      • 22
      • 25
      • 30
      • 31
      • 31
      • 34
      • 34
      • 35
      • 35
      • 36
      • 36
      • 39
      • 43
      • 44
      • 44
      • 45
      • 45
      • 45
      • 46
      • 46
      • 50
  • 16
  • 12
  • 14
  • 10
  • 13
Question 8
8.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      17 - 26
      27 - 36
      37 - 46
      47 - 56
      57 - 66
      67 - 76
      77 - 86
      Frequency
      15
      10
      9
      12
      12
      10
      2
  • 70
  • 71
  • 69
  • 68
  • 73
Question 9
9.
    • During the medical check-up of 76 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 47 kg
    • Class-Interval
      35 - 41
      41 - 47
      47 - 53
      53 - 59
      59 - 65
      65 - 71
      71 - 77
      77 - 83
      Frequency
      5
      7
      12
      12
      5
      12
      12
      11
  • 63
  • 67
  • 65
  • 62
  • 64
Question 10
10.
    • The daily wages (in rupees) of
    • 20
    • workers in a factory are given below.
    • Represent the data in the form of a frequency distribution
    • in exclusive form
    • taking class size
    • 30
    • .
      • 257
      • 223
      • 229
      • 206
      • 281
      • 286
      • 256
      • 280
      • 255
      • 294
      • 286
      • 270
      • 244
      • 274
      • 269
      • 259
      • 253
      • 246
      • 212
      • 218
  • Wages (in rupees)
    206 - 236
    236 - 266
    266 - 296
    No. of Workers
    5
    7
    8
  • Wages (in rupees)
    206 - 236
    236 - 266
    266 - 296
    No. of Workers
    5
    4
    8
  • Wages (in rupees)
    206 - 236
    236 - 266
    266 - 296
    No. of Workers
    8
    7
    5
  • Wages (in rupees)
    206 - 236
    236 - 266
    266 - 296
    No. of Workers
    5
    11
    8
  • Wages (in rupees)
    206 - 236
    236 - 266
    266 - 296
    No. of Workers
    7
    5
    8