Question

Classify the data into groups by making 7 number of classes. Also calculate the frequency, relative frequency and class mark for each class.   100,89,70, 44, 60,75,80,77,44,40,57,65,58,90,85,61,49,76,93,52,87,43,51,73,82,69,71,41,91,47​

Answer 1

Solution

 

Class Interval =   Xm - Xo/  number of class  

Class Interval = 100 - 40 /7

Class Interval = 60 /7

Class Interval = 8.6 Class Interval=9

No. Classes  Frequency Relative Frequency Class Mark

1 38 – 46          5                5/30 = 0.167        42

2 37 – 55                   4                4/30 = 0.133         51

3 56 – 64                   4                     4/30 = 0.133           60

4 65 – 73                   5                 5/30 = 0.167         69

5 74 – 82                 5                 5/30 = 0.167         78

6 83 – 91          5                 5/30 = 0.167         87

7 92 – 100          2                 2/30 = 0.067          96

                     f = 30  

Answer 2

Given :

100,89,70, 44, 60,75,80,77,44,40,57,65,58,90,85,61,49,76,

93,52,87,43,51,73,82,69,71,41,91,47​

To Find : make 7 number of classes

frequency, relative frequency and class mark for each class

Solution:

Class Interval  CM         frequency f        relative frequency f/∑f

35   - 45           40               5                    5/30 = 1/6

45  - 55            50               4                     4/30 = 2/15

55 - 65            60                4                     4/30   = 2/15

65 -  75           70                 5                     5/30 = 1/6  

75 -  85           80                 5                     5/30 = 1/6  

85 -  95           90                 6                     6/30  = 1/5

95 - 105          100                 1                     1/30  

                             Total        30

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