calculate mean deviation and its coefficient from median

INCOME-- 40-50 50-60 60-70 70-80 80-90 90-100

NO. -- 5 10 20 25 15 5

Median = size of Th item

= size of Th item

= size of 40th item

This corresponds to the class interval (70-80). Thus, this is the median class. 

M = Median =  +  × 10

= 70 +  × 10

= 70 + 2 = 72

income

Mid value (m)

Frequency (f)

Cumulative frequency (f)

Deviation from median dm =

Fdm

40-50

45

5

5

27

135

50-60

55

10

15

17

170

60-70

65

20

35

7

140

70-80

75

25

60

3

75

80-90

85

15

75

13

195

90-100

95

5

80

23

115

 

 

 

 

∑fdm = 830

 

Mean deviation =

=  = 10.375

Coefficient of mean deviation =

=  = 0.144

 

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