Normal Distribution Practice

Front

What percent of people are within 3 standard deviations of the mean in a normal distribution?

Back

99.7%

Tags

CCSS.HSS.ID.A.4

Front

What does the z-score represent?

Back

The amount of standard deviations a data value is above or below the mean.

Front

What shape is a normal distribution curve?

Back

Bell curve

Tags

CCSS.6.SP.A.3

Front

What is the area marked off by two z-scores under the standard normal curve if the area is 0.8110?

Back

0.8110

Front

What percent of the data is in the shaded region if the data is normally distributed and the region covers 3 standard deviations?

Back

99.7%

Tags

CCSS.HSS.ID.A.4

Front

Define normal distribution.

Back

A probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Front

What is the empirical rule in statistics?

Back

In a normal distribution, approximately 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations of the mean.

Tags

CCSS.HSS.ID.A.4

Front

What is a standard deviation?

Back

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

Front

How do you calculate the z-score?

Back

Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What is the significance of a z-score of 0?

Back

A z-score of 0 indicates that the data value is exactly at the mean.