Use the Empirical Rule to Describe Data That Are Bell Shaped
-The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the Empirical Rule to find the percentage of students with scores between 70 and $130 .$
A) $95 \%$
B) $68 \%$
C) $99.7 \%$
D) $100 \%$

Question

Quizplus · Accepted Answer

The Empirical Rule states that for a bell-shaped distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. Here, 70 to 130 encompasses two standard deviations from the mean (100 - 2(15) to 100 + 2(15)), so approximately 95% of the scores fall within this range.

Use the Empirical Rule to Describe Data That Are Bell 130.130 .130.

Use the Empirical Rule to Describe Data That Are Bell $130 .$