Normal Distribution

Front

What does the z-score represent?

Back

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

Front

What is the probability P(z < 0.05)?

Back

0.5199

Tags

CCSS.HSS.ID.A.4

Front

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

Back

34%.

Tags

CCSS.HSS.ID.A.4

Front

What z-score corresponds to 12.71% of the distribution’s area to its right?

Back

1.14

Tags

CCSS.HSS.ID.A.4

Front

What shape is a normal distribution curve?

Back

Bell curve.

Tags

CCSS.6.SP.A.3

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 relation to normal distribution?

Back

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 is the mean in a normal distribution?

Back

The average value around which the data is distributed.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What is the standard deviation in a normal distribution?

Back

A measure of the amount of variation or dispersion of 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.