ICSE Board Practice

ICSE Grade IX - Frequency Distribution
Question 1
1.
    • Convert the exclusive form of the class interval 14.5 - 19.5 to inclusive form
  • 15
    -
    19.5
  • 14.5
    -
    19
  • 14.5
    -
    19.5
  • 15.5
    -
    18.5
  • 15
    -
    19
Question 2
2.
    • During the medical check-up of 42 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is less than 76 kg
    • Class-Interval
      31 - 40
      40 - 49
      49 - 58
      58 - 67
      67 - 76
      Frequency
      8
      12
      7
      9
      6
  • 43
  • 42
  • 44
  • 39
  • 41
Question 3
3.
    • If some random sample data is arranged in a frequency distribution table in
    • exclusive form
    • with
    • 2
    • -
    • 8
    • as the first class,
    • then the observation
    • 19
    • falls in which class?
  • 14
    -
    20
  • 14.5
    -
    19.5
  • 15
    -
    21
  • 13.5
    -
    20.5
  • 13
    -
    19
Question 4
4.
    • Given class interval
    • 27
    • -
    • 29
    • in exclusive form, its
    • class size is
  • 1
  • 0
  • 4
  • 2
  • 3
Question 5
5.
    • The sale of shirts of various sizes at a shop on a particular day is given below. Identify the frequency distribution table for the given data.
      • 36
      • 39
      • 24
      • 24
      • 39
      • 38
      • 34
      • 31
      • 33
      • 27
      • 34
      • 27
      • 24
      • 29
      • 28
      • 23
      • 34
      • 36
      • 21
  • Size
    21
    23
    24
    27
    28
    29
    33
    34
    36
    38
    39
    No. of Shirts
    1
    1
    4
    2
    1
    1
    1
    3
    2
    1
    2
  • Size
    20
    24
    25
    26
    27
    28
    32
    33
    35
    37
    39
    No. of Shirts
    1
    1
    1
    3
    2
    5
    1
    2
    1
    1
    1
  • Size
    20
    21
    22
    24
    25
    26
    27
    32
    33
    34
    36
    38
    40
    No. of Shirts
    2
    1
    1
    2
    2
    2
    1
    2
    1
    1
    1
    2
    1
  • Size
    21
    23
    24
    27
    28
    29
    31
    33
    34
    36
    38
    39
    No. of Shirts
    1
    1
    3
    1
    1
    1
    1
    1
    3
    2
    2
    2
  • Size
    21
    23
    24
    27
    28
    29
    31
    33
    34
    36
    38
    39
    No. of Shirts
    1
    1
    3
    2
    1
    1
    1
    1
    3
    2
    1
    2
Question 6
6.
    • Construct a frequency table
    • in exclusive form
    • for the following
    • ages (in years) of
    • 16
    • students, taking class size
    • 2
    • .
      • 11
      • 15
      • 17
      • 10
      • 22
      • 24
      • 16
      • 23
      • 19
      • 15
      • 20
      • 23
      • 10
      • 22
      • 20
      • 22
  • Age (in years)
    10 - 12
    12 - 14
    14 - 16
    16 - 18
    18 - 20
    20 - 22
    22 - 24
    24 - 26
    No. of Students
    3
    0
    2
    2
    6
    2
    5
    1
  • Age (in years)
    10 - 12
    12 - 14
    14 - 16
    16 - 18
    18 - 20
    20 - 22
    22 - 24
    24 - 26
    No. of Students
    3
    0
    7
    2
    1
    2
    5
    1
  • Age (in years)
    10 - 12
    12 - 14
    14 - 16
    16 - 18
    18 - 20
    20 - 22
    22 - 24
    24 - 26
    No. of Students
    3
    0
    2
    2
    1
    2
    5
    1
  • Age (in years)
    10 - 12
    12 - 14
    14 - 16
    16 - 18
    18 - 20
    20 - 22
    22 - 24
    24 - 26
    No. of Students
    3
    1
    2
    2
    1
    2
    5
    0
Question 7
7.
    • If the upper and lower limit of class interval are 52 and 50 respectively, then the class interval is
  • 50.5
    -
    51.5
  • 49.5
    -
    52
  • 49.5
    -
    52.5
  • 50
    -
    52
  • 50
    -
    52.5
Question 8
8.
    • The weights (in gm) of
    • 18
    • fruits are as follows.
    • Form the grouped frequency table
    • in inclusive form
    • by taking class size
    • 50
    • .
      • 390
      • 261
      • 202
      • 292
      • 357
      • 206
      • 256
      • 220
      • 285
      • 272
      • 281
      • 292
      • 202
      • 375
      • 271
      • 228
      • 257
      • 313
  • Weight (in gm)
    202 - 251
    252 - 301
    302 - 351
    352 - 401
    No. of Fruits
    5
    9
    1
    3
  • Weight (in gm)
    202 - 251
    252 - 301
    302 - 351
    352 - 401
    No. of Fruits
    5
    1
    9
    3
  • Weight (in gm)
    202 - 251
    252 - 301
    302 - 351
    352 - 401
    No. of Fruits
    5
    12
    1
    3
  • Weight (in gm)
    202 - 251
    252 - 301
    302 - 351
    352 - 401
    No. of Fruits
    5
    9
    5
    3
  • Weight (in gm)
    202 - 251
    252 - 301
    302 - 351
    352 - 401
    No. of Fruits
    3
    9
    1
    5
Question 9
9.
    • The class mark of the class with frequency x is
    • Class-Interval
      Frequency
      13 - 18
      6
      19 - 24
      22
      25 - 30
      23
      31 - 36
      5
      37 - 42
      x
  • 79

    2
  • 40
  • 77

    2
  • 157

    4
  • 81

    2
Question 10
10.
    • The upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      29 - 36
      21
      36 - 43
      8
      43 - 50
      x
      50 - 57
      22
      57 - 64
      8
  • 47
  • 50
  • 51
  • 53
  • 49