ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Frequency Distribution
Question 1
1.
Which of the following are discontinuous variables?
a)
Wages of workers in a factory.
b)
Number of workers in a factory.
c)
Heights of children in a class.
d)
Weights of persons in a group.
e)
Number of members in a family.
  • {b,e}
  • {d,a,b}
  • {c,e,b}
  • {c,e}
  • {a,b}
Question 2
2.
    • Find the cumulative frequency of class
    • 109
      -
      119
    • .
    • Class-Interval
      49 - 59
      59 - 69
      69 - 79
      79 - 89
      89 - 99
      99 - 109
      109 - 119
      Frequency
      20
      11
      20
      6
      9
      10
      9
  • 84
  • 85
  • 88
  • 86
  • 83
Question 3
3.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      15 - 23
      24 - 32
      33 - 41
      42 - 50
      Frequency
      21
      9
      2
      17
  • 47
  • 49
  • 48
  • 50
  • 51
Question 4
4.
    • Following are the daily wages (in rupees) of labourers working in a factory. Identify the cumulative frequency of the given grouped data.
    • Wages (in rupees)
      300 - 320
      320 - 340
      340 - 360
      360 - 380
      380 - 400
      400 - 420
      Labourers
      7
      5
      19
      4
      16
      15
  • Wages (in rupees)
    Cumulative Frequency
    300 - 320
    7
    320 - 340
    22
    340 - 360
    41
    360 - 380
    45
    380 - 400
    61
    400 - 420
    66
  • Wages (in rupees)
    Cumulative Frequency
    300 - 320
    7
    320 - 340
    26
    340 - 360
    31
    360 - 380
    35
    380 - 400
    51
    400 - 420
    66
  • Wages (in rupees)
    Cumulative Frequency
    300 - 320
    7
    320 - 340
    12
    340 - 360
    31
    360 - 380
    35
    380 - 400
    51
    400 - 420
    66
  • Wages (in rupees)
    Cumulative Frequency
    300 - 320
    7
    320 - 340
    12
    340 - 360
    31
    360 - 380
    40
    380 - 400
    56
    400 - 420
    71
  • Wages (in rupees)
    Cumulative Frequency
    300 - 320
    7
    320 - 340
    12
    340 - 360
    33
    360 - 380
    37
    380 - 400
    53
    400 - 420
    68
Question 5
5.
    • 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
      40 - 45
      45 - 50
      No. of Patients
      60
      71
      76
      63
      81
      41
  • Age (in years)
    Cumulative Frequency
    20 - 25
    60
    25 - 30
    131
    30 - 35
    207
    35 - 40
    274
    40 - 45
    355
    45 - 50
    396
  • Age (in years)
    Cumulative Frequency
    20 - 25
    60
    25 - 30
    136
    30 - 35
    207
    35 - 40
    270
    40 - 45
    351
    45 - 50
    392
  • Age (in years)
    Cumulative Frequency
    20 - 25
    60
    25 - 30
    131
    30 - 35
    209
    35 - 40
    272
    40 - 45
    353
    45 - 50
    394
  • Age (in years)
    Cumulative Frequency
    20 - 25
    60
    25 - 30
    131
    30 - 35
    207
    35 - 40
    270
    40 - 45
    351
    45 - 50
    392
  • Age (in years)
    Cumulative Frequency
    20 - 25
    60
    25 - 30
    101
    30 - 35
    177
    35 - 40
    240
    40 - 45
    321
    45 - 50
    392
Question 6
6.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      39 - 46
      2
      46 - 53
      16
      53 - 60
      9
      60 - 67
      x
      67 - 74
      8
  • 60
    -
    67.5
  • 60
    -
    67
  • 59.5
    -
    67
  • 59.5
    -
    67.5
  • 60.5
    -
    66.5
Question 7
7.
    • The marks obtained by
    • 19
    • students in an examination are given below.
    • Represent the data in the form of a frequency distribution table
    • in exclusive form
    • taking class size
    • 8
    • .
      • 41
      • 55
      • 70
      • 74
      • 68
      • 69
      • 64
      • 45
      • 46
      • 75
      • 67
      • 54
      • 74
      • 58
      • 62
      • 51
      • 55
      • 57
      • 55
  • Marks
    41 - 49
    49 - 57
    57 - 65
    65 - 73
    73 - 81
    No. of Students
    3
    3
    4
    4
    5
  • Marks
    41 - 49
    49 - 57
    57 - 65
    65 - 73
    73 - 81
    No. of Students
    3
    8
    4
    4
    3
  • Marks
    41 - 49
    49 - 57
    57 - 65
    65 - 73
    73 - 81
    No. of Students
    3
    5
    4
    4
    3
  • Marks
    41 - 49
    49 - 57
    57 - 65
    65 - 73
    73 - 81
    No. of Students
    3
    5
    1
    4
    3
  • Marks
    41 - 49
    49 - 57
    57 - 65
    65 - 73
    73 - 81
    No. of Students
    3
    4
    5
    4
    3
Question 8
8.
    • Given class interval
    • 36
    • -
    • 45
    • in exclusive form, its
    • class size is
  • 8
  • 9
  • 10
  • 12
  • 7
Question 9
9.
    • During the medical check-up of 67 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 58 kg
    • Class-Interval
      38 - 43
      43 - 48
      48 - 53
      53 - 58
      58 - 63
      63 - 68
      68 - 73
      73 - 78
      Frequency
      10
      5
      6
      8
      6
      12
      9
      11
  • 38
  • 39
  • 40
  • 37
  • 36
Question 10
10.
    • Given class interval
    • 40
    • -
    • 47
    • in exclusive form, its
    • upper limit is
  • 47
  • 45
  • 46
  • 49
  • 48