Empirical Rule

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 1 standard deviation of the mean according to the Empirical Rule?

Back

68%.

Front

What percentage of data falls within 2 standard deviations of the mean according to the Empirical Rule?

Back

95%.

Front

What percentage of data falls within 3 standard deviations of the mean according to the Empirical Rule?

Back

99.7%.

Front

If the shaded area under the curve is 0.85, what is the other missing portion of the curve?

Back

0.15.

Front

Which best describes the shaded part of a normal distribution graph that is one or more standard deviations above the mean?

Back

All data that is one or more standard deviations above the mean.

Front

In a normal distribution, what does the mean represent?

Back

The mean is the average value of the data set and is the center of the normal distribution.

Front

What is a standard deviation?

Back

A standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

How does the Empirical Rule apply to a normal distribution?

Back

It provides a quick way to understand the distribution of data points in relation to the mean and standard deviations.

Front

What is the area under the normal distribution curve equal to?

Back

The area under the normal distribution curve is equal to 1 (or 100%).