Question

Calculate the range, population variance, and population standard deviation for the following data set. If necessary, round to one more decimal place than the largest number of decimal places given in the data. 10,11,12,13,14,15,16,17,18,19

Answer 1

Range = Largest observation - smallest observation

           = 19 - 10

           = 9

Range of given data set = 9

Population variance:

Here n = number of observations = 10

10	20.25
11	12.25
12	6.25
13	2.25
14	0.25
15	0.25
16	2.25
17	6.25
18	12.25
19	20.25
145	82.5

Population variance of given data set = 8.25

Population standard deviation:

          (Round to 2 decimal)

Population standard deviation of given data set = 2.87