Question

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.Refer to Exhibit 6-3. What is the minimum weight of the middle 95% of the players?

Answer 1

Given that

the weight of football players is distributed with a mean of 200 pounds and a standard deviation of 25 pounds.

And we need to find What is the minimum weight of the middle 95% of the players?

Explanation -

Using the Empirical Rule, 95% of the distribution will fall within 2 times of the standard deviation from the mean.

Two standard deviations = 2 x 25 pounds = 50 pounds

So the minimum weight = 200 pounds - 50 pounds = 150 pounds

Hence the final answer is 150 pounds.