Z-scores

Front

What is the purpose of z-scores?

Back

To describe the exact location of a score within a distribution.

Front

What does the sign of a z-score indicate?

Back

It indicates whether the location is above (positive) or below (negative) the mean.

Front

If Adam's Z-score on a test is +2.50, what does this mean?

Back

He scored 2.5 standard deviations above the average.

Front

What would an appropriate z-score for Tina, who is slower than her classmates, be?

Back

-1.

Front

If a data set has a mean of 300 and a standard deviation of 40, what value would have a z-score of z=-2?

Back

220.

Tags

CCSS.HSS.ID.A.4

Front

Define a z-score.

Back

A z-score measures how many standard deviations a data point is from the mean.

Front

What is the formula for calculating a z-score?

Back

Tags

CCSS.6.SP.A.2

Front

What does a z-score of 0 indicate?

Back

The score is exactly at the mean of the distribution.

Front

How can z-scores be used in comparing different distributions?

Back

Z-scores standardize scores from different distributions, allowing for comparison.

Tags

CCSS.HSS.ID.A.4

Front

What does a negative z-score represent?

Back

A score that is below the mean.