Find the sample standard deviation and the population standard deviation of the data set.

52, 19, 44, 49, 37, 46, 52, 36, 54, 13, 14, 17, 34, 16, 51

5 - 1572

- 1519

S - 15.19

- 15.72

See below in bold.

Step-by-step explanation:

52, 19, 44, 49, 37, 46, 52, 36, 54, 13, 14, 17, 34, 16, 51

The mean = 35.6

The absolute differences from the mean =

16.4, 16.6, 8.4, 13.4, 1.4, 10.4, 16.4, 0.4, 18.4, 22.6, 21.6, 18.6, 1.6, 19.6, 15.4

The squares of these differences =

268.96, 275.56, 70.56, 179.56, 1.96, 108.16, 268.96, 0.16, 338.56, 510.76, 466.56, 345.96, 2.56, 384.16, 237.16.

The Sum of these squares = 3459.6

Sample Variance 3459.6 / 14 = 247.11 and

Population Variance = 3459.6 / 15 = 230.64

Sample standard deviation = √247.11 = 15.72

Population Standard deviation = √230.64 = 15.19.