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, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

Front

What type of data can the Empirical Rule be applied to?

Back

The Empirical Rule can only be applied to data that is normally distributed.

Front

What shape does a normal distribution curve have?

Back

A normal distribution curve has a bell shape.

Front

If the mean is 15 and the standard deviation is 3, what is the interval that contains 99.7% of the data?

Back

The interval is from 6 to 24.

Front

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

Back

Approximately 68% of the data falls within one standard deviation of the mean.

Front

What percentage of data falls between the mean and one standard deviation above the mean in a normal distribution?

Back

Approximately 34% of the data falls between the mean and one standard deviation above the mean.

Front

If the mean shelf life of a dairy product is 12 days and the standard deviation is 3 days, what is the interval that contains 95% of the products?

Back

The interval is from 6 to 18 days.

Front

What is the significance of the standard deviation in a normal distribution?

Back

The standard deviation measures the dispersion or spread of the data around the mean.

Front

How do you calculate the range for 68% of the data in a normal distribution?

Back

The range for 68% of the data is calculated as mean ± 1 standard deviation.

Front

What is the z-score for a value that is one standard deviation above the mean?

Back

The z-score for a value that is one standard deviation above the mean is +1.