Suggested languages for you:

Americas

Europe

Q.12

Expert-verified
Found in: Page 385

### Introductory Statistics

Book edition OER 2018
Author(s) Barbara Illowsky, Susan Dean
Pages 902 pages
ISBN 9781938168208

# What is the z-score of x= 9, if it is 1.5 standard deviations to the left of the mean?

The value of the $z-$score will be -$1.5$

See the step by step solution

## Step 1: Given Information

z-score is the number of standard deviations from the mean value a data point is.

## Step 2: Explanation

$z-$score is the number of standard deviations from the mean value a data point is. If a z-score is equivalent to zero, the corresponding score is the mean value. If the z-score is equal to +$1$, it is one standard deviation above the mean value and if the z-score is equal to -$1$, it is one standard deviation below the mean value.

## Step 3: Explanation

By using the z-score it can be measured by how many standard deviations ($\sigma$), the value of x will lie below (left) or above (right) the mean ($\mu$) of the distribution. If the score is down the mean value, its corresponding Z score will be negative and if the score is above (right) the mean value, its corresponding z score will be positive

It is shown that the score, x=$9$ is $1.5$ standard deviations to the left of the mean.

## Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.