How to calculate mean deviation from the median of the given data?

To calculate mean deviation from median, the following formula is used

 

When Mean deviation are taken from Median (M)

For Individual Series

For Discrete and Continuous Series

The calculation process of Mean Deviation from median can be better understood with the help of the following example.

Example: For the following data calculate Mean Deviation from median.

X

f

0 – 10

5

10 – 20

9

20 – 30

6

30 – 40

3

40 – 50

2

 

X

f

C.f

Mid-Point

|D|

From median

f|D|

0 – 10

5

5

5

13.88

69.4

10 – 20

9

14

15

3.88

34.92

20 – 30

6

20

25

6.12

36.72

30 – 40

3

23

35

16.12

48.36

40 – 50

2

25

45

26.12

52.24

 

N = 25

  

66.12

179.18

 

13th item whose class interval is 10 – 20

Thus, the value of Mean Deviation calculated from median is 7.16 

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