Question

a set of data items is normally distributed with a mean of 65 and a standard deviation of 10. convert 80 to a z - score.

( z_{80}=square )
(type an integer or a decimal.)

Explanation:

Step1: Recall the z - score formula

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

Step2: Substitute the given values into the formula

Given \(x = 80\), \(\mu=65\), and \(\sigma = 10\). Then \(z=\frac{80 - 65}{10}\).

Step3: Calculate the value

\(\frac{80 - 65}{10}=\frac{15}{10}=1.5\)

Answer:

\(1.5\)