Answer:
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.