6.5 Flashcard Z Scores

Front

What is a z-score?

Back

A z-score is a statistical measurement that describes a value's relationship to the mean of a group of values, expressed in terms of standard deviations from the mean.

Front

How do you calculate a z-score?

Back

The formula for calculating a z-score is: z = (x - mean) / standard deviation, where x is the value, mean is the average of the data set, and standard deviation measures the dispersion of the data.

Front

What does a positive z-score indicate?

Back

A positive z-score indicates that the value is above the mean.

Front

What does a negative z-score indicate?

Back

A negative z-score indicates that the value is below the mean.

Front

If the mean is 40 and the standard deviation is 1.4, what is the z-score for x = 42?

Back

1.43

Front

If the mean is 27 and the standard deviation is 1.4, what is the z-score for x = 11?

Back

-11.43

Front

If the mean is 16 and the standard deviation is 4, what is the z-score for x = 11?

Back

-1.25

Front

If the mean is 29.8 and the standard deviation is 7, what is the z-score for x = 20?

Back

-1.4

Front

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

Back

True

Front

What is the significance of the z-score in statistics?

Back

The z-score helps to understand how far away a particular score is from the mean, allowing for comparison across different data sets.