Question

Find the population standard deviation for the following data set. Round to three decimal places, if necessary. 11, 14, 12, 17, 20, 19, 5

Answer 1

4.840 to 3 decimal places.

Explanation:

The mean of the data set is (11+14+12+17+20+19+5) / 7

= 14. Let this be m.

Make a table:

x x - m (x - m)^2

11 -3 9

14 0 0

12 -2 4

17 3 9

20 6 36

19 5 25

5 -9 81

Total (∑ x-m)^2 ) 164

Population Standard deviation =

∑(164/7) = 4.840307