Z-score Practice

Front

What is a Z-score?

Back

A Z-score indicates how many standard deviations an element is from the mean. It is calculated using the formula: Z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

How do you calculate a Z-score?

Back

To calculate a Z-score, subtract the mean from the value and then divide by the standard deviation: Z = (X - μ) / σ.

Front

What does a Z-score of +1.5 indicate?

Back

A Z-score of +1.5 indicates that the value is 1.5 standard deviations above the mean.

Front

What does a Z-score of -2.0 indicate?

Back

A Z-score of -2.0 indicates that the value is 2 standard deviations below the mean.

Front

If a class has an average grade of 80 and a standard deviation of 8, what test score corresponds to a Z-score of +1.5?

Back

The test score is 94.

Front

If a class has an average grade of 80 and a standard deviation of 8, what grade earns a Z-score worse than -2.0?

Back

The grade is 64.

Front

What is the average sugar content in cereals if the average is 7.6 grams and the standard deviation is 4.5 grams?

Back

The average sugar content is 7.6 grams.

Front

If Honey Smacks has a Z-score of 3.87, how many grams of sugar are in one serving?

Back

There are 25.02 grams of sugar in one serving.

Front

How do you find the Z-score for a specific value?

Back

To find the Z-score for a specific value, use the formula: Z = (X - μ) / σ, substituting the specific value for X.

Front

What is the Z-score for Apple Jacks with 14 grams of sugar if the average is 7.6 grams and the standard deviation is 4.5 grams?

Back

The Z-score is 1.42.