Finding Z - Score

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

How do you calculate a Z-score?

Back

Z = (x - mean) / standard deviation, where x is the value, mean is the average, and standard deviation measures the spread.

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

What is the mean in a data set?

Back

The mean is the average of all data points in a set.

Front

What is standard deviation?

Back

Standard deviation is a measure of the amount of variation or dispersion in a set of values.

Front

If the mean is 30 and the standard deviation is 5, what is the Z-score for x = 35?

Back

Z = (35 - 30) / 5 = 1.0.

Front

If the mean is 50 and the standard deviation is 10, what is the Z-score for x = 40?

Back

Z = (40 - 50) / 10 = -1.0.

Front

What is the purpose of Z-scores?

Back

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

Front

What does a Z-score of 0 mean?

Back

A Z-score of 0 means the value is exactly at the mean.