High School

Assume that a distribution has a mean of 25 and a standard deviation of 4. What percentage of the values in the distribution do we expect to fall between 25 and 33? Use the 68-95-99.7 rule.

A. 5%
B. 47.5%
C. 95%
D. 25%

Answer :

Final answer:

The percentage of values in the distribution expected to fall between 25 and 33 is approximately 68%.

Explanation:

To find the percentage of values expected to fall between 25 and 33 in a distribution with a mean of 25 and a standard deviation of 4, we can use the 68-95-99.7 rule.

According to the rule, approximately 68% of the values fall within one standard deviation of the mean. Since the mean is 25 and the standard deviation is 4, one standard deviation above the mean would be 25 + 4 = 29.

Therefore, the percentage of values expected to fall between 25 and 33 is approximately 68%.

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