Interpreting z-scores

Front

What is the purpose of z-scores?

Back

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

Front

Transforming raw scores to z-scores will change the shape of the distribution. True or False?

Back

False.

Front

The sign of the z-score indicates whether the location is above (positive) or below (negative) the mean. True or False?

Back

True.

Front

Find the z-score value corresponding if the location is above the mean by 1/2 standard deviations.

Back

+0.50.

Front

If a jar candle has a mean burn time of 25 hours and a standard deviation of 2.5, what is the burn time for a z-score of 1.5?

Back

28.75 hours.

Tags

CCSS.HSS.ID.A.4

Front

If a pillar candle has a mean burn time of 95 hours and a standard deviation of 7.5, what is the burn time for a z-score of 1.5?

Back

106.25 hours.

Tags

CCSS.HSS.ID.A.4

Front

What does a z-score of 0 indicate?

Back

The score is exactly at the mean of the distribution.

Front

How do you calculate a z-score?

Back

Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.

Front

What does a negative z-score indicate?

Back

The score is below the mean.

Front

What does a positive z-score indicate?

Back

The score is above the mean.