EduSahara™ Assignment
Name : Class Interval Table Concepts
Chapter : Frequency Distribution
Grade : ICSE Grade IX
License : Non Commercial Use
Question 1
1.
    • The class size used in the below table is
    • Class-Interval
      24 - 33
      34 - 43
      44 - 53
      54 - 63
      64 - 73
      74 - 83
      84 - 93
      Frequency
      26
      3
      26
      10
      8
      25
      4
  • (i)
    10
  • (ii)
    13
  • (iii)
    8
  • (iv)
    11
  • (v)
    9
Question 2
2.
    • The class size used in the below table is
    • Class-Interval
      25 - 31
      31 - 37
      37 - 43
      43 - 49
      49 - 55
      55 - 61
      61 - 67
      67 - 73
      Frequency
      27
      1
      4
      14
      18
      10
      22
      26
  • (i)
    3
  • (ii)
    9
  • (iii)
    7
  • (iv)
    5
  • (v)
    6
Question 3
3.
    • The class mark of the class with frequency x is
    • Class-Interval
      Frequency
      1 - 6
      11
      7 - 12
      x
      13 - 18
      20
      19 - 24
      18
      25 - 30
      2
  • (i)
    17

    2
  • (ii)
    19

    2
  • (iii)
    10
  • (iv)
    37

    4
  • (v)
    21

    2
Question 4
4.
    • The class mark of the class with frequency x is
    • Class-Interval
      Frequency
      6 - 11
      16
      11 - 16
      13
      16 - 21
      21
      21 - 26
      x
      26 - 31
      19
  • (i)
    24
  • (ii)
    93

    4
  • (iii)
    47

    2
  • (iv)
    45

    2
  • (v)
    49

    2
Question 5
5.
    • The mid value of the class with frequency x is
    • Class-Interval
      Frequency
      16 - 26
      11
      27 - 37
      x
      38 - 48
      23
      49 - 59
      21
      60 - 70
      17
  • (i)
    29
  • (ii)
    32
  • (iii)
    31
  • (iv)
    35
  • (v)
    33
Question 6
6.
    • The mid value of the class with frequency x is
    • Class-Interval
      Frequency
      5 - 10
      17
      10 - 15
      11
      15 - 20
      10
      20 - 25
      15
      25 - 30
      x
  • (i)
    28
  • (ii)
    53

    2
  • (iii)
    109

    4
  • (iv)
    55

    2
  • (v)
    57

    2
Question 7
7.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      32 - 38
      9
      39 - 45
      1
      46 - 52
      1
      53 - 59
      x
      60 - 66
      9
  • (i)
    52.5
    -
    60
  • (ii)
    52.5
    -
    59.5
  • (iii)
    52
    -
    60
  • (iv)
    53
    -
    59
  • (v)
    52
    -
    59.5
Question 8
8.
    • The class boundaries of the class with frequency x is
    • Class-Interval
      Frequency
      48 - 55
      x
      55 - 62
      30
      62 - 69
      14
      69 - 76
      14
      76 - 83
      25
  • (i)
    48
    -
    55
  • (ii)
    48.5
    -
    54.5
  • (iii)
    47.5
    -
    55.5
  • (iv)
    48
    -
    55.5
  • (v)
    47.5
    -
    55
Question 9
9.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      42 - 50
      13
      51 - 59
      x
      60 - 68
      11
      69 - 77
      21
      78 - 86
      5
  • (i)
    51
    -
    59
  • (ii)
    50
    -
    60
  • (iii)
    50.5
    -
    59.5
  • (iv)
    50
    -
    59.5
  • (v)
    50.5
    -
    60
Question 10
10.
    • The true lower limit and true upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      18 - 24
      2
      24 - 30
      x
      30 - 36
      15
      36 - 42
      10
      42 - 48
      26
  • (i)
    24.5
    -
    29.5
  • (ii)
    24
    -
    30.5
  • (iii)
    24
    -
    30
  • (iv)
    23.5
    -
    30
  • (v)
    23.5
    -
    30.5
Question 11
11.
    • The lower limit of the class with frequency x is
    • Class-Interval
      Frequency
      27 - 35
      7
      36 - 44
      x
      45 - 53
      16
      54 - 62
      7
      63 - 71
      21
  • (i)
    36
  • (ii)
    39
  • (iii)
    34
  • (iv)
    37
  • (v)
    35
Question 12
12.
    • The upper limit of the class with frequency x is
    • Class-Interval
      Frequency
      44 - 52
      9
      52 - 60
      x
      60 - 68
      15
      68 - 76
      13
      76 - 84
      7
  • (i)
    60
  • (ii)
    59
  • (iii)
    57
  • (iv)
    62
  • (v)
    61
Question 13
13.
    • If some random sample data is arranged in a frequency distribution table in
    • inclusive form
    • with
    • 2
    • -
    • 9
    • as the first class,
    • then the observation
    • 20
    • falls in which class?
  • (i)
    17.5
    -
    25.5
  • (ii)
    19
    -
    26
  • (iii)
    17
    -
    24
  • (iv)
    18
    -
    25
  • (v)
    18.5
    -
    24.5
Question 14
14.
    • If some random sample data is arranged in a frequency distribution table in
    • exclusive form
    • with
    • 3
    • -
    • 12
    • as the first class,
    • then the observation
    • 27
    • falls in which class?
  • (i)
    20.5
    -
    30.5
  • (ii)
    21.5
    -
    29.5
  • (iii)
    22
    -
    31
  • (iv)
    21
    -
    30
  • (v)
    20
    -
    29
Question 15
15.
    • Find the sum of frequencies for the given table
    • Value
      10
      16
      39
      45
      65
      75
      80
      83
      88
      Frequency
      1
      1
      1
      2
      1
      1
      1
      1
      1
  • (i)
    11
  • (ii)
    13
  • (iii)
    10
  • (iv)
    7
  • (v)
    9
Question 16
16.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      47 - 55
      56 - 64
      65 - 73
      74 - 82
      83 - 91
      92 - 100
      101 - 109
      Frequency
      27
      17
      13
      25
      4
      19
      13
  • (i)
    120
  • (ii)
    119
  • (iii)
    118
  • (iv)
    115
  • (v)
    117
Question 17
17.
    • Given class interval table, find the sum of frequencies.
    • Class-Interval
      50 - 57
      57 - 64
      64 - 71
      71 - 78
      78 - 85
      Frequency
      5
      14
      16
      1
      25
  • (i)
    59
  • (ii)
    60
  • (iii)
    61
  • (iv)
    63
  • (v)
    62
Question 18
18.
    • Given table in inclusive form, convert it into exclusive form.
    • Class-Interval
      11 - 16
      17 - 22
      23 - 28
      29 - 34
      35 - 40
      41 - 46
      Frequency
      42
      26
      22
      26
      23
      45
  • (i)
    Class-Interval
    11.5 - 16.5
    17.5 - 22.5
    23.5 - 28.5
    29.5 - 34.5
    35.5 - 40.5
    41.5 - 46.5
    Frequency
    42
    26
    22
    26
    23
    45
  • (ii)
    Class-Interval
    10.5 - 16.5
    16.5 - 22.5
    22.5 - 28.5
    28.5 - 34.5
    34.5 - 40.5
    40.5 - 46.5
    Frequency
    42
    26
    22
    26
    23
    45
  • (iii)
    Class-Interval
    10.5 - 16
    16.5 - 22
    22.5 - 28
    28.5 - 34
    34.5 - 40
    40.5 - 46
    Frequency
    42
    26
    22
    26
    23
    45
  • (iv)
    Class-Interval
    11 - 16
    16 - 21
    21 - 26
    26 - 31
    31 - 36
    36 - 41
    Frequency
    26
    39
    30
    17
    11
    10
  • (v)
    Class-Interval
    10.5 - 15.5
    16.5 - 21.5
    22.5 - 27.5
    28.5 - 33.5
    34.5 - 39.5
    40.5 - 45.5
    Frequency
    42
    26
    22
    26
    23
    45
Question 19
19.
    • If the sum of the following frequency distribution is
    • 25
    • ,
    • find the value of 'x'.
    • Value
      Frequency
      1
      3
      3
      x
      4
      2
      5
      2
      6
      3
      7
      2
      9
      3
      10
      6
      11
      2
  • (i)
    1
  • (ii)
    2
  • (iii)
    -1
  • (iv)
    5
  • (v)
    3
Question 20
20.
    • If the sum of the following frequency distribution is
    • 35
    • ,
    • find the value of 'x'.
    • Class-Interval
      Frequency
      10 - 17
      7
      18 - 25
      5
      26 - 33
      6
      34 - 41
      9
      42 - 49
      x
      50 - 57
      5
      58 - 65
      2
  • (i)
    -1
  • (ii)
    4
  • (iii)
    1
  • (iv)
    2
  • (v)
    0
Question 21
21.
    • Given class interval
    • 38
    • -
    • 45
    • in exclusive form, its
    • lower limit is
  • (i)
    39
  • (ii)
    37
  • (iii)
    35
  • (iv)
    40
  • (v)
    38
Question 22
22.
    • Given class interval
    • 27
    • -
    • 29
    • in exclusive form, its
    • upper limit is
  • (i)
    28
  • (ii)
    30
  • (iii)
    32
  • (iv)
    29
  • (v)
    26
Question 23
23.
    • Given class interval
    • 16
    • -
    • 26
    • in exclusive form, its
    • class size is
  • (i)
    11
  • (ii)
    13
  • (iii)
    9
  • (iv)
    7
  • (v)
    10
Question 24
24.
    • Given class interval
    • 46
    • -
    • 50
    • in exclusive form, its
    • class mark is
  • (i)
    48
  • (ii)
    47
  • (iii)
    45
  • (iv)
    51
  • (v)
    49
Question 25
25.
    • Given class interval
    • 45
    • -
    • 50
    • in exclusive form, its
    • mid value is
  • (i)
    95

    2
  • (ii)
    97

    2
  • (iii)
    93

    2
  • (iv)
    189

    4
  • (v)
    48
Question 26
26.
    • If the upper and lower limit of class interval are 17 and 15 respectively, then the class interval is
  • (i)
    14.5
    -
    17
  • (ii)
    15
    -
    17.5
  • (iii)
    14.5
    -
    17.5
  • (iv)
    15.5
    -
    16.5
  • (v)
    15
    -
    17
Question 27
27.
    • If the lower and upper limit of class interval are 31 and 39 respectively, then the class interval is
  • (i)
    30.5
    -
    39.5
  • (ii)
    31
    -
    39.5
  • (iii)
    31.5
    -
    38.5
  • (iv)
    31
    -
    39
  • (v)
    30.5
    -
    39
Question 28
28.
    • The class boundaries of 12 - 17 which is in exclusive form are
  • (i)
    12
    -
    17
  • (ii)
    12
    -
    17.5
  • (iii)
    12.5
    -
    16.5
  • (iv)
    11.5
    -
    17
  • (v)
    11.5
    -
    17.5
Question 29
29.
    • The class boundaries of 12 - 16 which is in inclusive form are
  • (i)
    11
    -
    16.5
  • (ii)
    11.5
    -
    17
  • (iii)
    12
    -
    16
  • (iv)
    11.5
    -
    16.5
  • (v)
    11
    -
    17
Question 30
30.
    • Convert the exclusive form of the class interval 22.5 - 27.5 to inclusive form
  • (i)
    23.5
    -
    26.5
  • (ii)
    23
    -
    27.5
  • (iii)
    23
    -
    27
  • (iv)
    22.5
    -
    27
  • (v)
    22.5
    -
    27.5
Question 31
31.
    • Convert the inclusive form of the class interval 37 - 41 to exclusive form
  • (i)
    36.5
    -
    41.5
  • (ii)
    37
    -
    41
  • (iii)
    36.5
    -
    42
  • (iv)
    36
    -
    41.5
  • (v)
    36
    -
    42
Question 32
32.
    • Convert the discontinuous form of the class interval 44 - 54 to continuous form
  • (i)
    44
    -
    54
  • (ii)
    43
    -
    54.5
  • (iii)
    43
    -
    55
  • (iv)
    43.5
    -
    54.5
  • (v)
    43.5
    -
    55
Question 33
33.
    • Convert the continuous form of the class interval 18.5 - 24.5 to discontinuous form
  • (i)
    19.5
    -
    23.5
  • (ii)
    19
    -
    24.5
  • (iii)
    18.5
    -
    24
  • (iv)
    19
    -
    24
  • (v)
    18.5
    -
    24.5
Question 34
34.
Which of the following are true?
a)
Each numerical figure in a data set is called an observation.
b)
The difference between the true upper limit and true lower limit is called the class mark.
c)
The number of times a particular observation occurs is called its frequency.
d)
The true lower limit of the exclusive form class interval 20 - 30 is 20.
e)
The true lower limit of the inclusive form class interval 20 - 30 is 20.
  • (i)
    {e,c}
  • (ii)
    {b,a,c}
  • (iii)
    {b,e,d}
  • (iv)
    {b,a}
  • (v)
    {a,c,d}
Question 35
35.
Which of the following class intervals are in inclusive form?
a)
25 - 35 , 36 - 46 , 47 - 57,...
b)
55 - 65 , 65 - 75 , 75 - 85...
c)
58 - 68 , 69 - 79 , 80 - 90,...
d)
25 - 35 , 35 - 45 , 45 - 55,...
e)
24.5 - 35.5 , 35.5 - 46.5 , 46.5 - 57.5...
  • (i)
    {a,c}
  • (ii)
    {d,c,a}
  • (iii)
    {e,b,a}
  • (iv)
    {b,a}
  • (v)
    {d,c}
Question 36
36.
    • In inclusive form representation, the observation
    • 52
    • falls in which class?
  • (i)
    53
    -
    62
  • (ii)
    32
    -
    42
  • (iii)
    42
    -
    52
  • (iv)
    41
    -
    51
  • (v)
    37
    -
    47
Question 37
37.
    • In exclusive form representation, the observation
    • 22
    • falls in which class?
  • (i)
    12
    -
    22
  • (ii)
    27
    -
    37
  • (iii)
    32
    -
    42
  • (iv)
    17
    -
    22
  • (v)
    22
    -
    32
Question 38
38.
If the sample data with range 40 has to be divided into 9 class intervals, then the length of the class is
  • (i)
    6
  • (ii)
    4
  • (iii)
    3
  • (iv)
    7
  • (v)
    5
Question 39
39.
If the length of the class is 6, then the number of class intervals needed to represent data with range 60 is
  • (i)
    8
  • (ii)
    10
  • (iii)
    12
  • (iv)
    11
  • (v)
    9
Question 40
40.
    • The number of classes of class size
    • 7
    • required to represent
    • the given random sample in exclusive form
      • 3
      • 6
      • 6
      • 8
      • 12
      • 13
      • 19
      • 20
      • 23
      • 25
      • 25
      • 25
      • 26
      • 28
      • 29
      • 29
      • 30
      • 32
      • 33
      • 36
      • 36
      • 38
      • 39
      • 40
      • 44
      • 45
      • 47
      • 49
  • (i)
    6
  • (ii)
    8
  • (iii)
    7
  • (iv)
    5
  • (v)
    10
Question 41
41.
Which of the following are continuous variables?
a)
Number of members in a family.
b)
Wages of workers in a factory.
c)
Weights of persons in a group.
d)
Heights of children in a class.
e)
Number of workers in a factory.
  • (i)
    {b,c,d}
  • (ii)
    {a,b,c}
  • (iii)
    {a,e,d}
  • (iv)
    {e,c}
  • (v)
    {a,b}
Question 42
42.
Which of the following are discontinuous variables?
a)
Weights of persons in a group.
b)
Number of members in a family.
c)
Heights of children in a class.
d)
Number of workers in a factory.
e)
Wages of workers in a factory.
  • (i)
    {b,d}
  • (ii)
    {a,b}
  • (iii)
    {e,a,b}
  • (iv)
    {c,d,b}
  • (v)
    {c,d}
Question 43
43.
Which of the following class intervals are in exclusive form?
a)
30 - 36 , 36 - 42 , 42 - 48,...
b)
30 - 36 , 37 - 43 , 44 - 50,...
c)
29.5 - 36.5 , 36.5 - 43.5 , 43.5 - 50.5...
d)
51 - 57 , 58 - 64 , 65 - 71,...
e)
48 - 54 , 54 - 60 , 60 - 66...
  • (i)
    {b,d,e}
  • (ii)
    {a,c,e}
  • (iii)
    {b,a}
  • (iv)
    {d,c}
  • (v)
    {b,a,c}
Question 44
44.
    • The class marks of a frequency distribution are
    • 14.5 , 20.5 , 26.5 , 32.5
    • .
    • Find the class size and class intervals
    • in inclusive form
  • (i)
    5
    ;
    12
    -
    17
    ,
    17
    -
    22
    ,
    22
    -
    27
    ,
    27
    -
    32
  • (ii)
    6
    ;
    11
    -
    16
    ,
    17
    -
    22
    ,
    23
    -
    28
    ,
    29
    -
    34
  • (iii)
    6
    ;
    12
    -
    17
    ,
    18
    -
    23
    ,
    24
    -
    29
    ,
    30
    -
    35
  • (iv)
    6
    ;
    13
    -
    18
    ,
    19
    -
    24
    ,
    25
    -
    30
    ,
    31
    -
    36
  • (v)
    6
    ;
    11
    -
    17
    ,
    17
    -
    23
    ,
    23
    -
    29
    ,
    29
    -
    35
Question 45
45.
    • The class marks of a frequency distribution are
    • 28 , 34 , 40 , 46
    • .
    • Find the class size and class intervals
    • in exclusive form
  • (i)
    6
    ;
    26
    -
    32
    ,
    32
    -
    38
    ,
    38
    -
    44
    ,
    44
    -
    50
  • (ii)
    7
    ;
    25
    -
    31
    ,
    32
    -
    38
    ,
    39
    -
    45
    ,
    46
    -
    52
  • (iii)
    6
    ;
    24
    -
    30
    ,
    30
    -
    36
    ,
    36
    -
    42
    ,
    42
    -
    48
  • (iv)
    6
    ;
    25
    -
    31
    ,
    31
    -
    37
    ,
    37
    -
    43
    ,
    43
    -
    49
  • (v)
    8
    ;
    24
    -
    31
    ,
    32
    -
    39
    ,
    40
    -
    47
    ,
    48
    -
    55
Question 46
46.
Which of the following are continuous variables?
a)
Rainfall at a place over a month
b)
Population of cities
c)
Number of workers in a factory
d)
Weights of persons in a group
e)
Number of players in a team
  • (i)
    {c,d}
  • (ii)
    {e,b,a}
  • (iii)
    {c,d,a}
  • (iv)
    {a,d}
  • (v)
    {b,a}
Question 47
47.
Which of the following are discrete variables?
a)
Heights of children in a class
b)
Weights of persons in a group
c)
Number of players in a team
d)
Rainfall at a place over a month
e)
Number of workers in a factory
  • (i)
    {d,a,c}
  • (ii)
    {b,e}
  • (iii)
    {c,e}
  • (iv)
    {b,e,c}
  • (v)
    {a,c}
    Assignment Key

  •  1) (i)
  •  2) (v)
  •  3) (ii)
  •  4) (iii)
  •  5) (ii)
  •  6) (iv)
  •  7) (ii)
  •  8) (i)
  •  9) (iii)
  •  10) (iii)
  •  11) (i)
  •  12) (i)
  •  13) (iv)
  •  14) (iv)
  •  15) (iii)
  •  16) (iii)
  •  17) (iii)
  •  18) (ii)
  •  19) (ii)
  •  20) (iii)
  •  21) (v)
  •  22) (iv)
  •  23) (v)
  •  24) (i)
  •  25) (i)
  •  26) (v)
  •  27) (iv)
  •  28) (i)
  •  29) (iv)
  •  30) (iii)
  •  31) (i)
  •  32) (iv)
  •  33) (iv)
  •  34) (v)
  •  35) (i)
  •  36) (iii)
  •  37) (v)
  •  38) (v)
  •  39) (ii)
  •  40) (iii)
  •  41) (i)
  •  42) (i)
  •  43) (ii)
  •  44) (iii)
  •  45) (iv)
  •  46) (iv)
  •  47) (iii)