ICSE Board Practice

Class VI Class VII Class VIII Class IX Class X
ICSE Grade IX - Frequency Distribution
Question 1
1.
    • The class size used in the below table is
    • Class-Interval
      50 - 55
      55 - 60
      60 - 65
      65 - 70
      70 - 75
      75 - 80
      80 - 85
      85 - 90
      Frequency
      26
      2
      26
      2
      9
      10
      14
      20
  • 3
  • 4
  • 5
  • 8
  • 6
Question 2
2.
    • Find the cumulative frequency of class
    • 62
      -
      67
    • .
    • Class-Interval
      37 - 42
      42 - 47
      47 - 52
      52 - 57
      57 - 62
      62 - 67
      Frequency
      17
      6
      17
      23
      25
      5
  • 92
  • 91
  • 93
  • 94
  • 95
Question 3
3.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      29 - 35
      36 - 42
      43 - 49
      50 - 56
      57 - 63
      frequency
      8
      12
      24
      22
      15
  • class interval
    Cumulative Frequency
    29 - 35
    8
    36 - 42
    32
    43 - 49
    44
    50 - 56
    66
    57 - 63
    81
  • class interval
    Cumulative Frequency
    29 - 35
    8
    36 - 42
    23
    43 - 49
    47
    50 - 56
    69
    57 - 63
    81
  • class interval
    Cumulative Frequency
    29 - 35
    8
    36 - 42
    20
    43 - 49
    44
    50 - 56
    66
    57 - 63
    81
  • class interval
    Cumulative Frequency
    29 - 35
    8
    36 - 42
    18
    43 - 49
    42
    50 - 56
    64
    57 - 63
    79
  • class interval
    Cumulative Frequency
    29 - 35
    8
    36 - 42
    20
    43 - 49
    47
    50 - 56
    69
    57 - 63
    84
Question 4
4.
    • 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.
      • 31
      • 20
      • 37
      • 40
      • 23
      • 28
      • 38
      • 22
      • 27
      • 35
      • 25
      • 23
      • 38
      • 34
      • 26
      • 27
      • 37
      • 40
      • 34
      • 26
      • 20
      • 26
  • Size
    20
    22
    23
    25
    26
    27
    28
    31
    34
    35
    37
    38
    40
    No. of Shirts
    1
    2
    2
    1
    3
    2
    1
    1
    2
    1
    2
    2
    2
  • Size
    25
    26
    27
    28
    29
    30
    31
    32
    33
    35
    39
    40
    No. of Shirts
    2
    1
    2
    2
    1
    1
    2
    4
    1
    2
    1
    3
  • Size
    20
    21
    24
    25
    27
    28
    29
    30
    31
    32
    34
    35
    36
    39
    40
    No. of Shirts
    3
    2
    1
    1
    2
    1
    2
    1
    2
    2
    1
    1
    1
    1
    1
  • Size
    20
    22
    23
    25
    26
    27
    28
    31
    34
    35
    37
    38
    40
    No. of Shirts
    2
    1
    3
    1
    2
    2
    1
    1
    2
    1
    2
    2
    2
  • Size
    20
    22
    23
    25
    26
    27
    28
    31
    34
    35
    37
    38
    40
    No. of Shirts
    2
    1
    2
    1
    3
    2
    1
    1
    2
    1
    2
    2
    2
Question 5
5.
Which of the following are continuous variables?
a)
Heights of children in a class
b)
Marks obtained by student in a particular subject
c)
Number of players in a team
d)
Weights of persons in a group
e)
Number of members in a family
  • {c,d}
  • {a,d}
  • {c,d,a}
  • {e,b,a}
  • {b,a}
Question 6
6.
    • During the medical check-up of 55 students of a class, their weights in kgs are recorded as follows.
    • Identify the number of students whose weight is more than 79 kg
    • Class-Interval
      34 - 43
      43 - 52
      52 - 61
      61 - 70
      70 - 79
      79 - 88
      Frequency
      11
      7
      11
      5
      9
      12
  • 11
  • 13
  • 9
  • 14
  • 12
Question 7
7.
    • 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
      20 - 30
      30 - 40
      40 - 50
      50 - 60
      60 - 70
      No. of Patients
      32
      71
      75
      49
      48
      55
  • Age (in years)
    Cumulative Frequency
    10 - 20
    32
    20 - 30
    103
    30 - 40
    174
    40 - 50
    223
    50 - 60
    271
    60 - 70
    326
  • Age (in years)
    Cumulative Frequency
    10 - 20
    32
    20 - 30
    107
    30 - 40
    178
    40 - 50
    227
    50 - 60
    275
    60 - 70
    330
  • Age (in years)
    Cumulative Frequency
    10 - 20
    32
    20 - 30
    87
    30 - 40
    162
    40 - 50
    211
    50 - 60
    259
    60 - 70
    330
  • Age (in years)
    Cumulative Frequency
    10 - 20
    32
    20 - 30
    103
    30 - 40
    178
    40 - 50
    222
    50 - 60
    270
    60 - 70
    325
  • Age (in years)
    Cumulative Frequency
    10 - 20
    32
    20 - 30
    103
    30 - 40
    178
    40 - 50
    227
    50 - 60
    275
    60 - 70
    330
Question 8
8.
    • Given table in inclusive form, convert it into exclusive form.
    • Class-Interval
      17 - 22
      23 - 28
      29 - 34
      35 - 40
      41 - 46
      Frequency
      45
      22
      13
      33
      22
  • Class-Interval
    16.5 - 21.5
    22.5 - 27.5
    28.5 - 33.5
    34.5 - 39.5
    40.5 - 45.5
    Frequency
    45
    22
    13
    33
    22
  • Class-Interval
    17.5 - 22.5
    23.5 - 28.5
    29.5 - 34.5
    35.5 - 40.5
    41.5 - 46.5
    Frequency
    45
    22
    13
    33
    22
  • Class-Interval
    16.5 - 22.5
    22.5 - 28.5
    28.5 - 34.5
    34.5 - 40.5
    40.5 - 46.5
    Frequency
    45
    22
    13
    33
    22
  • Class-Interval
    16.5 - 22
    22.5 - 28
    28.5 - 34
    34.5 - 40
    40.5 - 46
    Frequency
    45
    22
    13
    33
    22
  • Class-Interval
    17 - 22
    22 - 27
    27 - 32
    32 - 37
    37 - 42
    Frequency
    21
    28
    46
    46
    22
Question 9
9.
    • Identify the frequency distribution table for the given ages of 14 students in years
      • 14
      • 15
      • 12
      • 16
      • 23
      • 15
      • 13
      • 23
      • 18
      • 14
      • 25
      • 17
      • 19
      • 18
  • Age (in years)
    12
    13
    14
    15
    16
    17
    18
    19
    23
    25
    No. of Students
    1
    1
    2
    2
    1
    1
    2
    1
    2
    1
  • Age (in years)
    12
    13
    14
    15
    16
    17
    18
    19
    23
    No. of Students
    1
    1
    3
    2
    1
    1
    2
    1
    2
  • Age (in years)
    11
    13
    14
    15
    16
    17
    20
    21
    23
    24
    25
    No. of Students
    2
    1
    2
    1
    1
    1
    1
    2
    1
    1
    1
  • Age (in years)
    12
    13
    14
    15
    16
    17
    18
    19
    23
    25
    No. of Students
    1
    1
    2
    2
    1
    1
    1
    1
    3
    1
  • Age (in years)
    10
    11
    12
    15
    16
    17
    19
    21
    No. of Students
    1
    5
    1
    1
    3
    1
    1
    1
Question 10
10.
    • The class boundaries of 10 - 14 which is in exclusive form are
  • 9.5
    -
    14.5
  • 10
    -
    14
  • 9.5
    -
    14
  • 10.5
    -
    13.5
  • 10
    -
    14.5