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Standard deviation and Variance:                                                                                     Bookmark and Share
 
 

Standard deviation () is defined as the square root of the arithmetic mean of the square of the deviation of the values taken from mean. 

For an individual series

 

Example:

 

Marks

Frequency (f)

Mid value (x)

X2

fx

0-10

5

5

25

25

27

22

484

10-20

8

15

225

120

27

12

144

20-30

15

25

625

375

27

2

4

30-40

16

35

1225

560

27

8

64

40-50

6

45

2025

270

27

18

324

 

n =

 

 

 

 

From actual mean:

 

Assumed mean method:

       Where d=x-A (A is assumed mean)

 

Method based on actual data

 

  

Variance:

It is square of the standard deviation

Standard deviation =

 

Download pdf file of Standard deviation and Variance

 

 

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