Both data sets shown in the stem-and-leaf plots have a mean of 165. One has a standard deviation of 16, and the other has a standard deviation of 24. By looking at the stem-and-leaf plots, which is which? Explain your reasoning.

(a)

(b)

12 8 9 Key: 12|8 = 128 13 5 5 8 14 1 2 15 0 0 6 7 4 5 9 16 17 1 3 6 8 18 0 8 9 19 20 3 5 7 12 Key: 13|1 = 131 13 14 2 3 5 0 4 5 6 8 16 2 3 3 3 17 1 5 8 8 18 2 3 4 5 19 | 0 2 20