Question

A very large number of college men were asked what they thought their ideal weight was. A five number summary of the response (in pounds) follows: Median 175 Quartiles 155 196 Extremes 123 225 1. What is your best guess about the percent of the men who gave a response that falls in the interval 155 to 195 pounds?

Answer 1

Nearly 48.78% of the men gave a response that falls in the interval 155 to 195 pounds

Explanation:

Given that a very large number of college men were asked what they thought their ideal weight was.

A five number summary of the response (in pounds) follows:

Median 175

Quartiles 155 196

Extremes 123 225

This implies that 25th percentile is 155 and 75th percentile is 196

This can be interpreted as approximately 50% of men lie between 155 and 196 pounds.

Since 195 is very near to 195, we can say approximately

i.e. 41 difference = 50%

40 difference =
`(40*50)/(41) \\=48.78`

Nearly 48.78% of the men gave a response that falls in the interval 155 to 195 pounds