Empirical Rule Practice Flashcard

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 percentage of data falls within one standard deviation of the mean in a normal distribution?

Back

Approximately 68%.

Front

What percentage of data falls within two standard deviations of the mean in a normal distribution?

Back

Approximately 95%.

Front

What percentage of data falls within three standard deviations of the mean in a normal distribution?

Back

Approximately 99.7%.

Front

If the mean is 1150 pounds and the standard deviation is 22 pounds, what is the interval for approximately 99.7% of the weights?

Back

1084 to 1216 pounds.

Front

If the mean life of a tire is 30,000 km and the standard deviation is 2000 km, what is the interval for 68% of tires?

Back

28,000 km and 32,000 km.

Front

What is the mean GPA at a local high school if it is normally distributed with a standard deviation of 0.6?

Back

The mean GPA is 2.9.

Front

What is the interval for approximately 95% of weights if the mean is 1150 pounds and the standard deviation is 22 pounds?

Back

1106 to 1194 pounds.

Front

What is the percentage of students with a GPA between 2.3 and 3.5 if the mean is 2.9 and standard deviation is 0.6?

Back

68%.

Front

What is the interval for approximately 68% of data in a normal distribution?

Back

Within one standard deviation of the mean.