For each of the sets of data in Exercise 5, calculate the population variance ( 2 )

For each of the sets of data in Exercise 5, calculate the population variance (σ²) using the definitional formula.

Comparing your calculations for each data set with those done in Exercise 7, which is larger, the variance or the population variance? Why?

Exercise 5

For each of the following sets of data, (1) calculate the mean of the scores (X̅), (2) calculate the deviation of each score from the mean (X − X̅), and (3) check to see if the sum of the deviations equals zero (Σ(X − X̅) = 0).

a. 2, 4, 6

b. 5, 6, 13

c. 4, 7, 8, 9

d. 5, 2, 7, 13, 11

e. 3, 8, 14, 11, 16, 7, 14, 15, 11

Exercise 7

For each of the sets of data in Exercise 5, calculate the variance (σ²) using the definitional formula and the computational formula.