Use the 68-95-99.7 rule to solve the problem.
-Assume that a distribution has a mean of 28 and a standard deviation of 7. What percentage of the values in the distribution do we expect to fall between 21 and 28?
A) $68 \%$
B) $34 \%$
C) $17 \%$
D) $25 \%$

Question

Use the 68-95-99.7 rule to solve the problem.
-Assume that a distribution has a mean of 28 and a standard deviation of 7. What percentage of the values in the distribution do we expect to fall between 21 and 28? 
A) $68 \%$
B) $34 \%$
C) $17 \%$
D) $25 \%$

Quizplus · Accepted Answer

The 68-95-99.7 rule, also known as the empirical rule, states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Given a mean of 28 and a standard deviation of 7, the range from 21 to 28 represents one half of this 68% range (since it's from the mean minus one standard deviation to the mean). Therefore, approximately 34% of the values fall within this range.

Use the 68-95-99 68%68 \%68% B) 34%34 \%34% C) 17%17 \%17% D) 25%25 \%25%

Use the 68-95-99 $68 \%$ B) $34 \%$ C) $17 \%$ D) $25 \%$