ICSE Board Practice

ICSE Grade IX - Frequency Distribution
Question 1
1.
    • Convert the continuous form of the class interval 41.5 - 49.5 to discontinuous form
  • 42
    -
    49.5
  • 42
    -
    49
  • 42.5
    -
    48.5
  • 41.5
    -
    49
  • 41.5
    -
    49.5
Question 2
2.
    • Given the sample data, prepare the class interval table in
    • inclusive
    • form with
    • 3
    • as min value and a class size of
    • 5
    • .
      • 6
      • 33
      • 32
      • 19
      • 10
      • 28
      • 3
      • 39
      • 21
      • 27
      • 11
      • 43
      • 30
      • 24
      • 28
      • 17
      • 20
      • 31
      • 27
  • Class-Interval
    3 - 7
    8 - 12
    13 - 17
    18 - 22
    23 - 27
    28 - 32
    33 - 37
    38 - 42
    43 - 47
    Frequency
    2
    2
    3
    1
    3
    5
    1
    1
    1
  • Class-Interval
    3 - 7
    8 - 12
    13 - 17
    18 - 22
    23 - 27
    28 - 32
    33 - 37
    38 - 42
    43 - 47
    Frequency
    2
    2
    1
    8
    3
    5
    1
    1
    1
  • Class-Interval
    3 - 7
    8 - 12
    13 - 17
    18 - 22
    23 - 27
    28 - 32
    33 - 37
    38 - 42
    43 - 47
    Frequency
    2
    1
    1
    3
    3
    5
    1
    1
    2
  • Class-Interval
    3 - 7
    8 - 12
    13 - 17
    18 - 22
    23 - 27
    28 - 32
    33 - 37
    38 - 42
    43 - 47
    Frequency
    2
    2
    1
    3
    3
    5
    1
    1
    1
  • Class-Interval
    3 - 8
    8 - 13
    13 - 18
    18 - 23
    23 - 28
    28 - 33
    33 - 38
    38 - 43
    43 - 48
    Frequency
    2
    2
    1
    3
    3
    5
    1
    1
    1
Question 3
3.
    • The weights (in gm) of
    • 15
    • fruits are as follows.
    • Form the grouped frequency table
    • in exclusive form
    • by taking class size
    • 50
    • .
      • 207
      • 330
      • 344
      • 225
      • 281
      • 272
      • 237
      • 274
      • 272
      • 385
      • 345
      • 219
      • 214
      • 367
      • 304
  • Weight (in gm)
    207 - 257
    257 - 307
    307 - 357
    357 - 407
    No. of Fruits
    5
    5
    6
    2
  • Weight (in gm)
    207 - 257
    257 - 307
    307 - 357
    357 - 407
    No. of Fruits
    5
    3
    5
    2
  • Weight (in gm)
    207 - 257
    257 - 307
    307 - 357
    357 - 407
    No. of Fruits
    5
    7
    3
    2
  • Weight (in gm)
    207 - 257
    257 - 307
    307 - 357
    357 - 407
    No. of Fruits
    2
    5
    3
    5
  • Weight (in gm)
    207 - 257
    257 - 307
    307 - 357
    357 - 407
    No. of Fruits
    5
    5
    3
    2
Question 4
4.
    • The mid value of the class with frequency x is
    • Class-Interval
      Frequency
      20 - 30
      12
      30 - 40
      17
      40 - 50
      29
      50 - 60
      x
      60 - 70
      30
  • 54
  • 52
  • 58
  • 55
  • 56
Question 5
5.
Which of the following class intervals are in exclusive form?
a)
13 - 22 , 22 - 31 , 31 - 40,...
b)
13 - 22 , 23 - 32 , 33 - 42,...
c)
12.5 - 22.5 , 22.5 - 32.5 , 32.5 - 42.5...
d)
43 - 52 , 53 - 62 , 63 - 72,...
e)
40 - 49 , 49 - 58 , 58 - 67...
  • {b,a}
  • {d,c}
  • {b,a,c}
  • {b,d,e}
  • {a,c,e}
Question 6
6.
Which of the following are discrete variables?
a)
Weights of persons in a group
b)
Heights of children in a class
c)
Marks obtained by student in a particular subject
d)
Number of players in a team
e)
Wages of workers in a factory
  • {b,d,c}
  • {c,d}
  • {a,c}
  • {e,a,c}
  • {b,d}
Question 7
7.
    • 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
    • 6
    • .
      • 41
      • 49
      • 71
      • 71
      • 71
      • 65
      • 66
      • 48
      • 50
      • 67
      • 61
      • 47
      • 64
      • 44
      • 43
      • 41
      • 67
  • Marks
    41 - 47
    47 - 53
    53 - 59
    59 - 65
    65 - 71
    71 - 77
    No. of Students
    4
    4
    0
    6
    4
    3
  • Marks
    41 - 47
    47 - 53
    53 - 59
    59 - 65
    65 - 71
    71 - 77
    No. of Students
    4
    4
    2
    2
    4
    3
  • Marks
    41 - 47
    47 - 53
    53 - 59
    59 - 65
    65 - 71
    71 - 77
    No. of Students
    4
    3
    0
    2
    4
    4
  • Marks
    41 - 47
    47 - 53
    53 - 59
    59 - 65
    65 - 71
    71 - 77
    No. of Students
    4
    0
    4
    2
    4
    3
  • Marks
    41 - 47
    47 - 53
    53 - 59
    59 - 65
    65 - 71
    71 - 77
    No. of Students
    4
    4
    0
    2
    4
    3
Question 8
8.
    • The marks obtained by
    • 18
    • students in an examination are given below.
    • Represent the data in the form of a frequency distribution table
    • in exclusive form
    • taking class size
    • 6
    • .
      • 51
      • 43
      • 69
      • 74
      • 75
      • 52
      • 45
      • 51
      • 44
      • 75
      • 80
      • 49
      • 51
      • 66
      • 69
      • 40
      • 68
      • 78
  • Marks
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    70 - 76
    76 - 82
    No. of Students
    4
    4
    1
    0
    4
    3
    2
  • Marks
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    70 - 76
    76 - 82
    No. of Students
    4
    1
    4
    0
    4
    3
    2
  • Marks
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    70 - 76
    76 - 82
    No. of Students
    4
    4
    1
    2
    4
    3
    2
  • Marks
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    70 - 76
    76 - 82
    No. of Students
    4
    2
    1
    0
    4
    3
    4
  • Marks
    40 - 46
    46 - 52
    52 - 58
    58 - 64
    64 - 70
    70 - 76
    76 - 82
    No. of Students
    4
    4
    3
    0
    4
    3
    2
Question 9
9.
    • The following cumulative frequency table represents which of the following frequency distribution
    • Class-Interval
      Cumulative Frequency
      16 - 25
      48
      25 - 34
      38
      34 - 43
      30
      43 - 52
      17
      52 - 61
      8
  • Class-Interval
    16 - 25
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    Frequency
    10
    13
    8
    9
    8
  • Class-Interval
    16 - 25
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    Frequency
    10
    8
    13
    9
    8
  • Class-Interval
    16 - 25
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    Frequency
    10
    8
    15
    9
    8
  • Class-Interval
    16 - 25
    25 - 34
    34 - 43
    43 - 52
    52 - 61
    Frequency
    10
    12
    13
    9
    8
Question 10
10.
    • Given class interval
    • 48
    • -
    • 53
    • in exclusive form, its
    • lower limit is
  • 49
  • 46
  • 50
  • 47
  • 48