Areas Under the Standard Normal Curve

Front

What is the standard normal distribution?

Back

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Tags

CCSS.HSS.ID.A.4

Front

What percent 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.

Tags

CCSS.HSS.ID.A.4

Front

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

Back

Approximately 95% of the data falls within two standard deviations of the mean.

Tags

CCSS.HSS.ID.A.4

Front

What is the area under the standard normal curve to the left of z = 0?

Back

The area under the standard normal curve to the left of z = 0 is 0.5 or 50%.

Tags

CCSS.HSS.ID.A.4

Front

How do you find the area under the standard normal curve to the left of a given z-score?

Back

You can use a standard normal distribution table or a calculator to find the area to the left of a given z-score.

Tags

CCSS.HSS.ID.A.4

Front

What is the area under the standard normal curve to the right of z = -1.04?

Back

The area under the standard normal curve to the right of z = -1.04 is approximately 0.8508.

Tags

CCSS.HSS.ID.A.4

Front

What is the area under the standard normal curve to the left of z = -2.04?

Back

The area under the standard normal curve to the left of z = -2.04 is approximately 0.0207.

Tags

CCSS.HSS.ID.A.4

Front

What is the area under the standard normal curve to the right of z = -2.67?

Back

The area under the standard normal curve to the right of z = -2.67 is approximately 0.9962.

Tags

CCSS.HSS.ID.A.4

Front

What is the area under the normal distribution curve that represents the area to the left of Z = -2.37?

Back

The area under the normal distribution curve to the left of Z = -2.37 is approximately 0.0089.

Tags

CCSS.HSS.ID.A.4

Front

What does a z-score represent in a standard normal distribution?

Back

A z-score represents the number of standard deviations a data point is from the mean.