[EX02-075] All the third-graders at Roth Elementary School were given a physical fitness strength test. These data resulted:

12 22 6 9 2 9 5 9 3 5 16 1 22 18 6 12 21 23 9 10 24 21 17 11 18 19 17 5 14 16 19 19 18 3 4 21 16 20 15 14 17 4 5 22 12 15 18 20 8 10 13 20 6 9 2 17 15 9 4 15 14 19 3 24

a. Construct a dotplot.

b. Find the mode.

c. Prepare a grouped frequency distribution using classes 1–4, 4–7, and so on, and draw a histogram of the distribution.

d. Describe the distribution; specifically, is the distribution bimodal (about what values)?

e. Compare your answers in parts a and

c, and comment on the relationship between the mode and the modal values in these data.

f. Could the discrepancy found in the comparison in part e occur when using an ungrouped frequency distribution? Explain.

g. Explain why, in general, the mode of a set of data does not necessarily give us the same information as the modal values do.