Normal Distribution

Front

What is a normal distribution?

Back

A normal distribution is 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?

Back

The Empirical Rule states that for a normal distribution: about 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.

Tags

CCSS.HSS.ID.A.4

Front

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

Back

68%.

Tags

CCSS.HSS.ID.A.4

Front

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

Back

95%.

Tags

CCSS.HSS.ID.A.4

Front

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

Back

99.7%.

Tags

CCSS.HSS.ID.A.4

Front

What shape does a normal distribution curve have?

Back

It is bell-shaped.

Front

What is the relationship between the mean, median, and mode in a normal distribution?

Back

In a normal distribution, the mean, median, and mode are approximately equal.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What happens to the spread of the normal distribution curve when the standard deviation decreases?

Back

The smaller the standard deviation, the less spread there is in the curve.

Tags

CCSS.6.SP.A.2

Front

Is the normal distribution curve symmetrical or asymmetrical?

Back

The normal distribution curve is symmetrical.

Front

If the mean age of golfers is 38 and the standard deviation is 4, what is the age range for approximately 68% of golfers?

Back

Between 34 and 42 years old.

Tags

CCSS.HSS.ID.A.4