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------------------------------------------------ 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

1. What is your best guess about the percent of the men who gave a response that falls in the interval 155 to 196 pounds?

Question

College

Answer :

AlonsoDehner AlonsoDehner · Answer 1 · 2024-06-22T16:45:08-04:00

Answer:

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

Step-by-step 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 = [tex]\frac{40*50}{41} \\=48.78[/tex]

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