QuestionFind the $\mathrm{z}$ -score for $\mathrm{x}=7$ given that the mean of $\mathrm{X}$ is 4 and the standard deviation is 2.

Studdy Solution

STEP 1

Assumptions1. The mean (average) of the random variable X is4. . The standard deviation of the random variable X is.
3. We are asked to find the z-score for x=7.

STEP 2

The z-score is a measure of how many standard deviations an element is from the mean. The formula for calculating the z-score is $z = \frac{x - \mu}{\sigma}$ Where- $z$ is the z-score, - $x$ is the value for which we want to find the z-score, - $\mu$ is the mean of the distribution, - $\sigma$ is the standard deviation of the distribution.

STEP 3

Now, plug in the given values for $x$ , $\mu$ , and $\sigma$ to calculate the z-score.
$z = \frac{7 -}{2}$

STEP 4

Calculate the z-score.
$z = \frac{7 -4}{2} =1.$ The z-score for x=7 is1..

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms