High School

Use the 68-95-99.7 rule to solve the problem.

Scores on a test are normally distributed with a mean of 102 and a standard deviation of 16. What percentage of scores are greater than 134?

A. 2.5%
B. 5%
C. 97.5%
D. 95%

Answer :

The 68-95-99.7 rule is a quick way to estimate the percentage of values that lie within a given range in a normal distribution.the problem is:5% of scores are greater than 134.

In a normal distribution, approximately 68% of the values fall within one standard deviation of the mean, approximately 95% of the values fall within two standard deviations of the mean, and approximately 99.7% of the values fall within three standard deviations of the mean.The problem is asking for the percentage of scores that are greater than 134, which is two standard deviations above the mean of 102.

we know that approximately 95% of the scores fall between the mean and two standard deviations above the mean (i.e., between 102 and 134). To find the percentage of scores that are greater than 134, we can use the fact that the remaining 5% of scores fall above two standard deviations above the mean.So, the answer to

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