Here are the percentages of Americans who are obese for 11 randomly selected Southern states and 9 randomly selected Western states:

For parts (a), (b), and (c), begin with lower class limit 20 and class width 2.
a. Construct a frequency and relative frequency table.
b. Construct a frequency histogram.
c. Construct a relative frequency histogram.
d. Describe the shape of the distribution.
e. All but one of the obesity rates (in red) of the Southern states are greater than the obesity rates (in blue) of the Western states. A student says the distribution of all 20 obesity rates must be bimodal because the obesity rate for the Southern and the Western states are so different. What would you tell the student?

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29.1 31.3 34.7 27.6 29.6 31.1 29.2 33.8 33.0 34.5 26.9 25.7 20.5 23.6 24.3 27.1 27.3 24.3 26.8 24.6