Consider the following four populations:

(a) 1, 2, 3, 4, 5, 6, 7, 8

(b) 1.

1, 1, 1, 8, 8, 8, 8

(c) 1.

1. 4, 4, 5, 5, 8, 8

(d) -6, -3, 0, 3, 6, 9, 12, 15 All of these populations have the same mean. Without doing the calculations, arrange the populations according to the magnitudes of their variances, from smallest to largest. Then check your intuition by calculating the four population variances.