Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 9. Steve has a score of 52. Convert Steve's score to a z-score. (Round to two decimal places if necessary.)
A)1.33
B)58.2
C)-2
D)-1.33

Question

Quizplus · Accepted Answer

z-score formula: z = (x – μ) / σ

where x is the raw score, μ is the mean, and σ is the standard deviation.

In this case, x = 52, μ = 64, and σ = 9.

Plugging in the values:

z = (52 – 64) / 9 = -1.33

Therefore, Steve's z-score is -1.33, which means his score is 1.33 standard deviations below the mean.