z-scores practice

Front

What is a z-score?

Back

A z-score indicates how many standard deviations an element is from the mean. It can be positive or negative.

Front

How do you calculate a z-score?

Back

Z-score = (x - mean) / standard deviation, where x is the value.

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

Back

0.77

Front

What is the significance of the sign of a z-score?

Back

The sign indicates whether the value is above (positive) or below (negative) the mean.

Front

What is the z-score for a value that is 0.5 standard deviations above the mean?

Back

+0.50

Front

What is the z-score for a value that is 2 standard deviations below the mean?

Back

-2.00

Front

If Group A has a mean of 41.7 cm and a standard deviation of 2.2 cm, what height corresponds to a z-score of 1.5?

Back

45 cm

Front

If Group B has a mean of 38.6 cm and a standard deviation of 3.4 cm, what height corresponds to a z-score of 1.5?

Back

43.7 cm