Grouping and Displaying data to convey meaning

The president of Ocean Airlines is trying to estimate when the Federal Aviation Administration is most likely to rule on the company's application for a new route between Charlotte and Nashville. Assistants to the president have assembled the following waiting times for applications filed during the first year. The data are given in days from the date of application until an FAA ruling.

34 40 23 28 31 40 25 33 47 32
44 34 38 31 33 42 26 35 27 31
29 40 31 30 34 31 38 35 37 33
24 44 37 39 32 36 34 36 41 39
29 22 28 44 51 31 44 28 47 31
  1. Construct a frequency distribution using 10 closed intervals, equally spaced. Which interval contains the most data points?
  2. Construct a frequency distribution using 5 closed intervals, equally spaced. Which interval contains the most data points?
  3. If the president of Ocean Airlines had a relative frequency distribution for either (a) or (b), would that help him estimate the answer he needs?

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