Answer true or false to each of the statements in parts (a)

and (b), and explain your reasoning.

a. Two data sets that have identical frequency distributions have identical relative-frequency distributions.

b. Two data sets that have identical relative-frequency distributions have identical frequency distributions.

c. Use your answers to parts

(a) and

(b) to explain why relativefrequency distributions are better than frequency distributions for comparing two data sets.

In Exercises 2.20–2.25, we have presented some simple qualitative data sets for practicing the concepts. For each data set,

a. determine a frequency distribution.

b. obtain a relative-frequency distribution.

c. draw a pie chart.

d. construct a bar chart.

2.20 CABBA 2.21 CAABA 2.22 AABCADABDC 2.23 ACBAAABBDD 2.24 CDABEDCBEA BDCEBBBACE 2.25 DDEDBCCBDB ACCCCDDECD Applying the Concepts and Skills For each data set in Exercises 2.26–2.31,

a. determine a frequency distribution.

b. obtain a relative-frequency distribution.

c. draw a pie chart.

d. construct a bar chart.