Question

What is the standard deviation of the data given below? 10, 28, 13, 18, 29, 30, 22, 23, 25, and 32​

Answer 1

Given : 10, 28, 13, 18, 29, 30, 22, 23, 25, and 32​

To Find : Standard deviation

Solution:

x x-mean (x-mean)^2

10 -13 169

28 5 25

13 -10 100

18 -5 25

29 6 36

30 7 49

22 -1 1

23 0 0

25 2 4

32 9 81

230   490

Mean = 230/10  = 23

Standards deviation =  √((∑(x - mean)²)/N)

= √490/10

= √49

= 7

Hence standard deviation of the data  is 7

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