ICSE Board Practice

ICSE Grade IX - Frequency Distribution
Question 1
1.
    • Given class interval
    • 34
    • -
    • 37
    • in exclusive form, its
    • class size is
  • 4
  • 2
  • 3
  • 6
  • 1
Question 2
2.
    • Find the cumulative frequency of class
    • 74
      -
      80
    • .
    • Class-Interval
      46 - 52
      53 - 59
      60 - 66
      67 - 73
      74 - 80
      81 - 87
      Frequency
      8
      9
      24
      17
      7
      16
  • 64
  • 66
  • 63
  • 68
  • 65
Question 3
3.
    • Given table in inclusive form, convert it into exclusive form.
    • Class-Interval
      19 - 28
      29 - 38
      39 - 48
      49 - 58
      59 - 68
      69 - 78
      Frequency
      45
      28
      20
      48
      18
      47
  • Class-Interval
    19 - 28
    28 - 37
    37 - 46
    46 - 55
    55 - 64
    64 - 73
    Frequency
    20
    30
    44
    43
    31
    25
  • Class-Interval
    18.5 - 28
    28.5 - 38
    38.5 - 48
    48.5 - 58
    58.5 - 68
    68.5 - 78
    Frequency
    45
    28
    20
    48
    18
    47
  • Class-Interval
    19.5 - 28.5
    29.5 - 38.5
    39.5 - 48.5
    49.5 - 58.5
    59.5 - 68.5
    69.5 - 78.5
    Frequency
    45
    28
    20
    48
    18
    47
  • Class-Interval
    18.5 - 27.5
    28.5 - 37.5
    38.5 - 47.5
    48.5 - 57.5
    58.5 - 67.5
    68.5 - 77.5
    Frequency
    45
    28
    20
    48
    18
    47
  • Class-Interval
    18.5 - 28.5
    28.5 - 38.5
    38.5 - 48.5
    48.5 - 58.5
    58.5 - 68.5
    68.5 - 78.5
    Frequency
    45
    28
    20
    48
    18
    47
Question 4
4.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      20 - 26
      23
      26 - 32
      13
      32 - 38
      6
      38 - 44
      x
      44 - 50
      12
  • 38.5
    -
    43.5
  • 38
    -
    44.5
  • 38
    -
    44
  • 37.5
    -
    44
  • 37.5
    -
    44.5
Question 5
5.
    • 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 less than 60 kg
    • Class-Interval
      36 - 44
      44 - 52
      52 - 60
      60 - 68
      68 - 76
      76 - 84
      84 - 92
      92 - 100
      Frequency
      10
      5
      9
      8
      12
      11
      6
      6
  • 24
  • 26
  • 22
  • 23
  • 25
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 - 30
      30 - 40
      40 - 50
      50 - 60
      60 - 70
      70 - 80
      No. of Patients
      70
      41
      66
      26
      88
      35
  • Age (in years)
    Cumulative Frequency
    20 - 30
    70
    30 - 40
    111
    40 - 50
    177
    50 - 60
    201
    60 - 70
    289
    70 - 80
    324
  • Age (in years)
    Cumulative Frequency
    20 - 30
    70
    30 - 40
    111
    40 - 50
    177
    50 - 60
    203
    60 - 70
    291
    70 - 80
    326
  • Age (in years)
    Cumulative Frequency
    20 - 30
    70
    30 - 40
    111
    40 - 50
    172
    50 - 60
    198
    60 - 70
    286
    70 - 80
    321
  • Age (in years)
    Cumulative Frequency
    20 - 30
    70
    30 - 40
    136
    40 - 50
    177
    50 - 60
    203
    60 - 70
    291
    70 - 80
    326
  • Age (in years)
    Cumulative Frequency
    20 - 30
    70
    30 - 40
    105
    40 - 50
    171
    50 - 60
    197
    60 - 70
    285
    70 - 80
    326
Question 7
7.
    • Convert the exclusive form of the class interval 19.5 - 25.5 to inclusive form
  • 20.5
    -
    24.5
  • 20
    -
    25.5
  • 20
    -
    25
  • 19.5
    -
    25
  • 19.5
    -
    25.5
Question 8
8.
    • Given class interval
    • 48
    • -
    • 53
    • in exclusive form, its
    • class mark is
  • 201

    4
  • 101

    2
  • 103

    2
  • 51
  • 99

    2
Question 9
9.
Which of the following are discontinuous variables?
a)
Number of workers in a factory.
b)
Weights of persons in a group.
c)
Wages of workers in a factory.
d)
Number of members in a family.
e)
Heights of children in a class.
  • {e,b,a}
  • {b,a}
  • {c,d}
  • {a,d}
  • {c,d,a}
Question 10
10.
    • The class mark of the class with frequency x is
    • Class-Interval
      Frequency
      14 - 19
      8
      20 - 25
      6
      26 - 31
      5
      32 - 37
      24
      38 - 43
      x
  • 79

    2
  • 161

    4
  • 41
  • 81

    2
  • 83

    2