Question

find the z - score for 75 given a mean of 60 and a standard deviation of 6. - 1.15 - 2.5 2.5 1.15

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

We are given \(x = 75\), \(\mu=60\), and \(\sigma = 6\). Substituting these values into the formula, we get \(z=\frac{75 - 60}{6}\).

Step3: Calculate the numerator

First, calculate \(75-60=15\). So the formula becomes \(z=\frac{15}{6}\).

Step4: Simplify the fraction

\(\frac{15}{6}=2.5\)

Answer:

\(2.5\)