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The mean score on a creativity test is 20 and the standard deviation is 5. The distribution is normal. Using the percentage approximations for the normal curve, how many people would attain a score between 15 and 25?

a) 34%
b) 48%
c) 68%
d) 82%

1 Answer

3 votes

Final answer:

In a normal distribution with a mean of 20 and a standard deviation of 5, approximately 68% of people would score between 15 (one standard deviation below the mean) and 25 (one standard deviation above the mean), according to the empirical rule.

Step-by-step explanation:

The mean score on a creativity test is 20 and the standard deviation is 5. The distribution is normal. To find how many people would attain a score between 15 and 25, we use the properties of the normal distribution, specifically the empirical rule or the 68-95-99.7 rule.

A score of 15 is one standard deviation below the mean, while a score of 25 is one standard deviation above the mean. According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean for a normal distribution. Therefore, we can estimate that 68% of people would score between 15 and 25 on this test.

So, the correct answer to the student's question is c) 68%.

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