Provide an appropriate response.
-The mean score of a competency test is 65, with a standard deviation of 4. Use the Empirical Rule to find the percentage of scores between 53 and 77. (Assume the data set has a bell-shaped distribution.)
A)99.7%
B)50%
C)68%
D)95%

Question

Quizplus · Accepted Answer

The Empirical Rule states that for a bell-shaped distribution, approximately 68% of the data falls within 1 standard deviation of the mean, 95% within 2 standard deviations, and 99.7% within 3 standard deviations. Here, 53 to 77 encompasses 3 standard deviations (12 points on either side of the mean of 65), so 99.7% of scores fall within this range.

Provide an Appropriate Response