Question

scores on a test have a mean of 70 and a standard deviation of 11. michelle has a score of 48. convert michelles score to a z score.
(1 point)
22
-22
-2
2

Explanation:

Step1: Recall the z - score formula

The formula for the z - score is \(z=\frac{x-\mu}{\sigma}\), where \(x\) is the data point, \(\mu\) is the mean, and \(\sigma\) is the standard deviation.

Step2: Substitute the given values into the formula

Given \(x = 48\), \(\mu=70\), and \(\sigma = 11\). Then \(z=\frac{48 - 70}{11}\).

Step3: Calculate the numerator

\(48-70=-22\). So the formula becomes \(z=\frac{-22}{11}\).

Step4: Perform the division

\(\frac{-22}{11}=-2\).

Answer:

C. - 2