Question

A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. find each value, given its distance from the mean.

Answer 1

The value of each score from the z-score can be calculated using x = 45 + 8.3z

How to determine the distance from the mean?

The given parameters are:

• Mean = 45
• Standard deviation = 8.3

The z-score is calculated using:

$z = \frac{x - \mu}{\sigma}$

This gives

$z = \frac{x - 45}{8.3}$

Multiply both sides by 8.3

x - 45 = 8.3z

Add 45 to both sides

x = 45 + 8.3z

Hence, the value of each score from the z-score can be calculated using x = 45 + 8.3z

Note that the question has missing parameters, so I provided a general solution

Read more about normal distribution at:

https://brainly.com/question/1846009

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