Calculate mean deviation from the following data, using mean and median respectively.

SIZE 4, 6, 8, 10, 12, 14, 16

FREQUENCY 2, 4, 5, 3, 2, 1, 4

Mean deviation from median

Size (X)

Frequency 

(f)

Cumulative frequency

Deviation from median dm =

fdm

4

2

2

4

8

6

4

6

2

8

8

5

11

0

0

10

3

14

2

6

12

2

16

4

8

14

1

17

6

6

16

4

21

8

32

 

N =  = 21

 

 

 = 68

 

Median = value of item

= value of 11th item

= 8

Mean deviation =

=  = 3.23

Mean deviation from mean

Size(X)

Frequency (f)

fX

Deviation from mean d =

f d

4

2

8

5.71

11.42

6

4

24

3.71

14.84

8

5

40

1.71

6.71

10

3

30

.29

.87

12

2

24

2.29

4.58

14

1

14

4.29

4.29

16

4

64

6.29

25.16

 

∑F = 21

 

 

∑f d = 67.87

 

 =  = 9.71

Mean deviation for mean =

=

= 3.23

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