Finding Z - Score

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. It indicates how many standard deviations an element is from the mean.

Front

What is the formula for calculating a Z-score?

Back

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

How do you interpret a Z-score of 0?

Back

A Z-score of 0 indicates that the value is exactly equal to the mean.

Front

If the mean is 22 and the standard deviation is 3.1, what is the Z-score for x = 29?

Back

The Z-score is 2.26.

Front

If the mean is 21 and the standard deviation is 1.3, what is the Z-score for x = 22?

Back

The Z-score is 0.77.

Front

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

Back

The Z-score is -1.25.

Front

If the mean is 22.8 and the standard deviation is 7, what is the Z-score for x = 20?

Back

The Z-score is -0.4.

Front

What is the significance of Z-scores in statistics?

Back

Z-scores are used to determine the relative position of a value within a distribution, allowing for comparison across different datasets.