Question

dan scored an 87 on his math test. the scores of his class are normally distributed, with a mean score of 84 and a standard deviation of 6. what is the z - score of dan’s test score? 0.96 2 0.90 0.5

Explanation:

Step1: Recall the z - score formula

The z - score formula 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 \(x = 87\), \(\mu=84\), and \(\sigma = 6\). Then \(z=\frac{87 - 84}{6}\).

Step3: Calculate the value

\(z=\frac{3}{6}=0.5\)

Answer:

0.5