A very large number of college men were asked what they thought their ideal weight was. A five-number summary of the responses (in pounds) follows: Median 175 Quartiles 155 196 Extremes 123 225 What is your best guess about the percent of the men who gave a response that falls in the interval 155 to 195 pounds

Question

Nathan Ashley

Mathematics

20 August, 04:32

A very large number of college men were asked what they thought their ideal weight was. A five-number summary of the responses (in pounds) follows: Median 175 Quartiles 155 196 Extremes 123 225 What is your best guess about the percent of the men who gave a response that falls in the interval 155 to 195 pounds

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Kasen Conrad · Answer 1

50%

Step-by-step explanation:

The interval between the first quartile, 25-th percentile, (155) and the third quartile, 75-th percentile, (196) comprises 50% of the sample data.

The desired interval is from 155 to 195 pounds, which starts exactly at the first quartile and ends just one pound short of the third quartile. Since this sample has a large number of men and a range of 102 pounds, that one pound difference can be neglected. Therefore, the percent of men who gave a response that falls in the interval 155 to 195 pounds can be guessed to be roughly 50%.