Provide an appropriate response.
-The mean SAT verbal score is 490, with a standard deviation of 96. Use the Empirical Rule to determine what percent of the scores lie between 298 and 586. (Assume the data set has a bell-shaped distribution.)
A)81.5%
B)68%
C)34%
D)83.9%

Question

Quizplus · Accepted Answer

The Empirical Rule states that approximately 68% of data falls within one standard deviation of the mean. Here, 298 and 586 are within two standard deviations (490 ± 2*96), which covers about 95% of the data. However, the closest option to this percentage is 81.5%, which seems to be a typographical error in the options.

Provide an Appropriate Response