Question

On a recent quiz, the class mean was 72 with a standard deviation of 4.2. Calculate the z-score (to 2 decimal places) for a person who received score of 59.

Answer 1

The value of the z-score is -3.09.

Given

The class mean was 72 with a standard deviation of 4.2

What is the formula to calculate z-score?

The formula is used to calculate z-score is;

$\rm z-score = \dfrac{X-Mean} {Standard \ deviation}$

Where the value of X is 59.

Substitute all the values in the formula;

$\rm z-score = \dfrac{X-Mean} {Standard \ deviation}\\\\ \rm z-score = \dfrac{59-72} {4.2}\\\\ \rm z-score = \dfrac{-13}{4.2} \\\\ \rm z-score = -3.09$

Hence, the value of the z-score is -3.09.

To know more about z-score click the link is given below.

https://brainly.com/question/13963974