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 one standard deviation of the mean in a normal distribution?

Back

68%.

Front

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

Back

95%.

Front

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

Back

99.7%.

Front

What is the total area under the standard normal distribution curve?

Back

1.

Front

If a data point is at the mean, how many standard deviations away is it?

Back

0 standard deviations.

Front

What does it mean if a data point is two standard deviations above the mean?

Back

It means the data point is higher than approximately 95% of the data in a normal distribution.

Front

What is the significance of the 5% in the context of the Empirical Rule?

Back

The 5% represents the total area in the tails of the distribution beyond two standard deviations from the mean.

Front

What is the mean in a normal distribution?

Back

The mean is the average of all data points and is the center of the normal distribution.

Front

What is standard deviation?

Back

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