give any eight examples of standard deviation from individual series and discrete series

Question: Calculate standard deviation using the following data.

x

8

10

10

11

14

15

20

22

21

30

 

Solution

x

Ax = 15

d= xAx

d2

8

–6

36

10

–6

36

10

–4

16

11

–3

9

14=A

0

0

15

1

1

20

6

36

22

8

64

21

7

49

30

16

256

 

 

Question: Calculate Standard Deviation for the following distribution.

Solution

x

Frequencies

10

3

20

6

30

20

40

12

50

9

Total

50

 

 

x

Frequency

A = 30

d= X – A

fd'

d'2

fd'2

10

3

– 20

– 2

– 6

4

12

20

6

– 10

– 1

– 6

1

6

30 = A

20

0

0

0

0

0

40

12

10

1

12

1

12

50

9

20

2

18

4

36

 

 

 

 

 

To practice more such questions, go through the NCERT questions available on our site.

 

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