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Extra credit) Following are the speeds of 40 cars clocked by radar on a particular road...

Extra credit) Following are the speeds of 40 cars clocked by radar on a particular road in a 35-mph zone on a particular afternoon:

30, 36, 42, 36, 30, 52, 36, 34, 36, 33, 30, 32, 35, 32, 37, 34, 36, 31, 35, 20,24, 46, 23, 31, 32, 45, 34, 37, 28, 40, 34, 38,40, 52, 31, 33, 15, 27, 36, 40

Make (a) a grouped frequency table and (b) a histogram based on the grouped frequency table.

Then (c) describe the general shape of the distribution. Use intervals of length 5 (i.e., 15–19)

Math   Statistics-And-Probability   
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Answer #1

(c) The histogram obtained here is unimodal and bell shaped in nature. We may interpret this distribution as approximately normal, as the number of observations become large. Another point that supports our interpretation is that, here, the mean, median and mode of the data are almost equal, which implies data is normally distributed.

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