ICSE Board Practice

ICSE Grade IX - Frequency Distribution
Question 1
1.
Which of the following are continuous variables?
a)
Number of workers in a factory.
b)
Heights of children in a class.
c)
Number of members in a family.
d)
Weights of persons in a group.
e)
Wages of workers in a factory.
  • {a,b}
  • {b,d,e}
  • {c,d}
  • {a,c,e}
  • {a,b,d}
Question 2
2.
Which of the following are continuous variables?
a)
Heights of children in a class
b)
Marks obtained by student in a particular subject
c)
Rainfall at a place over a month
d)
Number of players in a team
e)
Number of workers in a factory
  • {e,b,a}
  • {a,c}
  • {d,c,a}
  • {b,a}
  • {d,c}
Question 3
3.
    • If some random sample data is arranged in a frequency distribution table in
    • exclusive form
    • with
    • 3
    • -
    • 10
    • as the first class,
    • then the observation
    • 31
    • falls in which class?
  • 30
    -
    37
  • 30.5
    -
    38.5
  • 31.5
    -
    37.5
  • 31
    -
    38
  • 32
    -
    39
Question 4
4.
    • The upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      26 - 33
      9
      33 - 40
      16
      40 - 47
      26
      47 - 54
      12
      54 - 61
      x
  • 60
  • 63
  • 59
  • 61
  • 62
Question 5
5.
    • Find the cumulative frequency of class
    • 89
      -
      95
    • .
    • Class-Interval
      47 - 53
      54 - 60
      61 - 67
      68 - 74
      75 - 81
      82 - 88
      89 - 95
      Frequency
      9
      13
      14
      6
      25
      9
      25
  • 99
  • 103
  • 100
  • 101
  • 102
Question 6
6.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      43 - 49
      6
      49 - 55
      2
      55 - 61
      x
      61 - 67
      30
      67 - 73
      3
  • 54.5
    -
    61.5
  • 55
    -
    61.5
  • 55.5
    -
    60.5
  • 54.5
    -
    61
  • 55
    -
    61
Question 7
7.
    • If the upper and lower limit of class interval are 39 and 29 respectively, then the class interval is
  • 29.5
    -
    38.5
  • 29
    -
    39
  • 29
    -
    39.5
  • 28.5
    -
    39.5
  • 28.5
    -
    39
Question 8
8.
    • Identify the cumulative frequency of the given grouped data.
    • class interval
      42 - 52
      52 - 62
      62 - 72
      72 - 82
      82 - 92
      92 - 102
      102 - 112
      112 - 122
      frequency
      15
      25
      20
      15
      24
      22
      12
      24
  • class interval
    Cumulative Frequency
    42 - 52
    15
    52 - 62
    39
    62 - 72
    59
    72 - 82
    74
    82 - 92
    98
    92 - 102
    120
    102 - 112
    132
    112 - 122
    157
  • class interval
    Cumulative Frequency
    42 - 52
    15
    52 - 62
    40
    62 - 72
    60
    72 - 82
    75
    82 - 92
    99
    92 - 102
    121
    102 - 112
    133
    112 - 122
    157
  • class interval
    Cumulative Frequency
    42 - 52
    15
    52 - 62
    40
    62 - 72
    57
    72 - 82
    72
    82 - 92
    96
    92 - 102
    118
    102 - 112
    130
    112 - 122
    154
  • class interval
    Cumulative Frequency
    42 - 52
    15
    52 - 62
    40
    62 - 72
    60
    72 - 82
    75
    82 - 92
    102
    92 - 102
    124
    102 - 112
    136
    112 - 122
    160
  • class interval
    Cumulative Frequency
    42 - 52
    15
    52 - 62
    40
    62 - 72
    55
    72 - 82
    75
    82 - 92
    99
    92 - 102
    121
    102 - 112
    133
    112 - 122
    157
Question 9
9.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      34 - 44
      44 - 54
      54 - 64
      64 - 74
      74 - 84
      84 - 94
      94 - 104
      104 - 114
      Frequency
      20
      7
      20
      27
      17
      10
      10
      22
  • 135
  • 132
  • 134
  • 130
  • 133
Question 10
10.
    • The class marks of a frequency distribution are
    • 33 , 42 , 51 , 60
    • .
    • Find the class size and class intervals
    • in inclusive form
  • 9
    ;
    28
    -
    37
    ,
    37
    -
    46
    ,
    46
    -
    55
    ,
    55
    -
    64
  • 8
    ;
    29
    -
    37
    ,
    37
    -
    45
    ,
    45
    -
    53
    ,
    53
    -
    61
  • 9
    ;
    28
    -
    36
    ,
    37
    -
    45
    ,
    46
    -
    54
    ,
    55
    -
    63
  • 9
    ;
    30
    -
    38
    ,
    39
    -
    47
    ,
    48
    -
    56
    ,
    57
    -
    65
  • 9
    ;
    29
    -
    37
    ,
    38
    -
    46
    ,
    47
    -
    55
    ,
    56
    -
    64