NORMAL DISTRIBUTION AND Z SCORES

Front

What is the standard deviation?

Back

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

Front

What does a negative z score indicate?

Back

It indicates that the value is below the mean.

Front

How do you calculate the Z-score?

Back

Z = (X - Mean) / Standard Deviation

Front

According to the Empirical Rule, what percentage of values fall within one standard deviation of the mean?

Back

68% of the values fall within one standard deviation above and below the mean.

Tags

CCSS.HSS.ID.A.4

Front

What is the Z-score for a value of 11, with a mean of 27 and a standard deviation of 1.4?

Back

-11.43

Front

What is the Z-score for a value of 22, with a mean of 21 and a standard deviation of 1.3?

Back

0.77

Front

What does a Z-score of 0 indicate?

Back

The value is exactly at the mean.

Front

What is the significance of the Empirical Rule in normal distribution?

Back

It provides a quick estimate of the spread of data in a normal distribution.

Tags

CCSS.HSS.ID.A.4

Front

What percentage of values fall within two standard deviations of the mean according to the Empirical Rule?

Back

95% of the values fall within two standard deviations above and below the mean.

Tags

CCSS.HSS.ID.A.4

Front

What is the relationship between Z-scores and percentiles?

Back

Z-scores can be used to determine the percentile rank of a value in a normal distribution.

Tags

CCSS.HSS.ID.A.4