Empirical Rule Review

Front

What is the Empirical Rule?

Back

The Empirical Rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, about 95% falls within two standard deviations, and about 99.7% falls within three standard deviations.

Front

What percent of data falls within 1 standard deviation of the mean in a normal distribution?

Back

68%.

Front

What percent of data falls within 2 standard deviations of the mean in a normal distribution?

Back

95%.

Front

What percent of data falls within 3 standard deviations of the mean in a normal distribution?

Back

99.7%.

Front

If the mean is 15 and the standard deviation is 3, what is the range for 95% of the data?

Back

9 to 21.

Front

If the mean is 75 and the standard deviation is 7, what percentage of scores are above 82?

Back

16%.

Front

What is the mean GPA of students in a course at UCDavis?

Back

3.2.

Front

What is the standard deviation of the GPA of students in a course at UCDavis?

Back

0.3.

Front

What percent of students have a GPA between 2.9 and 3.8 if the mean is 3.2 and the standard deviation is 0.3?

Back

81.5%.

Front

What is the mean shelf life of a particular dairy product?

Back

12 days.