[EX02-097] Recruits for a police academy were required to undergo a test that measures their exercise capacity. The exercise capacity (in minutes) was obtained for each of 20 recruits:

25 27 30 33 30 32 30 34 30 27 26 25 29 31 31 32 34 32 33 30

a. Draw a dotplot of the data.

b. Find the mean.

c. Find the range.

d. Find the variance.

e. Find the standard deviation.

f. Using the dotplot from part

a, draw a line representing the range. Then draw a line starting at the mean with a length that represents the value of the standard deviation.

g. Describe how the distribution of data, the range, and the standard deviation are related.