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

Answer:

4.840 to 3 decimal places.

Step-by-step 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