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 shape does the normal distribution curve have?

Back

The normal distribution curve is bell-shaped.

Front

What are the mean, median, and mode in a normal distribution?

Back

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

Tags

CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

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.

Tags

CCSS.HSS.ID.A.4

Front

What percentage of data falls within 2 standard deviations in a normal distribution?

Back

Approximately 95% of the data falls within 2 standard deviations of the mean.

Tags

CCSS.HSS.ID.A.4

Front

What percentage of data falls within 3 standard deviations in a normal distribution?

Back

Approximately 99.7% of the data falls within 3 standard deviations of the mean.

Tags

CCSS.HSS.ID.A.4

Front

If the mean GPA is 2.9 and the standard deviation is 0.6, what GPA range includes 68% of students?

Back

The GPA range is from 2.3 to 3.5.

Tags

CCSS.HSS.ID.A.4

Front

What is the standard deviation in a normal distribution?

Back

The standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

What does a smaller standard deviation indicate about a normal distribution?

Back

A smaller standard deviation indicates that the data points are closer to the mean, resulting in a steeper curve.

Front

What is the significance of the area under the normal distribution curve?

Back

The area under the normal distribution curve represents the total probability, which equals 1.