Finding z-scores

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean of a distribution.

Front

What is the formula for calculating a z-score?

Back

Front

If a student's score is above the mean, what will the z-score be?

Back

The z-score will be positive.

Front

If a student's score is below the mean, what will the z-score be?

Back

The z-score will be negative.

Front

What does a z-score of 0 indicate?

Back

A z-score of 0 indicates that the value is exactly at the mean.

Front

How do you interpret a z-score of 1.5?

Back

A z-score of 1.5 means the value is 1.5 standard deviations above the mean.

Front

How do you interpret a z-score of -1.2?

Back

A z-score of -1.2 means the value is 1.2 standard deviations below the mean.

Front

What is the mean and standard deviation of the ACT composite scores?

Back

The mean is 21 and the standard deviation is 5.

Front

Calculate the z-score for a student who scores 28 on the ACT.

Back

The z-score is 1.40.

Front

Calculate the z-score for a home that costs $193,000 if the mean home price is $200,000 and the standard deviation is $10,000.

Back

The z-score is -0.70.