The following data represent the afternoon high temperatures for 50 construction days during a year in St. Louis.

The following data represent the afternoon high temperatures for 50 construction days during a year in St. Louis.42 70 64 47 66 69 73 38 48 25 55 84 10 24 45 31 62 47 63 84 16 40 81 15 35 17 40 36 44 17 38 79 35 36 23 64 45 53 31 60 31 38 52 16 81 12 61 43 30 33 a. Construct a frequency distribution for the data using five class intervals.b. Construct a frequency distribution for the data using 10 class intervals.c. Examine the results of (a) and (b) and comment on the usefulness of the frequency distribution in terms of temperature summarization capability.a. One possible 5 class frequency distribution:Class Interval Frequency 0 – under 20 20 – under 40 40 – under 60 60 – under 80 80 – under 100 50 b. One possible 10 class frequency distribution:Class Interval Frequency 10 – under 18 18 – under 26 26 – under 34 34 – under 42 42 – under 50 50 – under 58 58 – under 66 66 – under 74 74 – under 82 82 – under 90 c. The ten-class frequency distribution gives a more detailed breakdown of temperatures, pointing out the (greater/smaller) frequencies for the higher temperature intervals. The ( five/ten)-classten-class distribution collapses the intervals into broader classes making it appear that there are nearly equal frequencies in each class.

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