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Answer :
Final answer:
Approximately 50% of the men who were asked gave a response that falls in the interval 155 to 195 pounds.
Explanation:
To determine the percent of college men who gave a response that falls in the interval 155 to 195 pounds, we need to consider the quartiles. The first quartile, Q1, represents the 25th percentile, and the third quartile, Q3, represents the 75th percentile. Since the first quartile is 155 pounds and the third quartile is 196 pounds, we can calculate the interquartile range (IQR) as 196 - 155 = 41 pounds.
Since the IQR represents the middle 50% of the data, we know that 50% of the men gave a response between 155 and 196 pounds. The median, which is 175 pounds, falls within this range as well. Therefore, our best guess about the percent of men who gave a response in the interval 155 to 195 pounds would be approximately 50%.
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Answer:
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%.
