Empirical Rule and Normal Distribution

Front

What shape is a normal distribution curve?

Back

Bell curve

Front

According to the empirical rule, what percentage of data falls within 1 standard deviation?

Back

68%

Front

Which best describes the shaded part of this normal distribution graph?

Back

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

Front

Use the following information and the Empirical Rule to estimate the answer: The ages of golfers are normally distributed, with a mean of 38 and a standard deviation of 4. Find the percentage of golfers that are between 30 and 46 years old.

Back

95%

Front

The shelf life of a particular dairy product is normally distributed with a mean of 12 days and a standard deviation of 3 days. About what percent of the products last between 12 and 15 days?

Back

34%

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

Front

What does it mean for data to be normally distributed?

Back

Data is normally distributed when it follows a bell-shaped curve, where most of the observations cluster around the central peak and probabilities for values further away from the mean taper off equally in both directions.

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 curve.

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 do you calculate the percentage of data within two standard deviations in a normal distribution?

Back

According to the Empirical Rule, approximately 95% of the data falls within two standard deviations of the mean.