On a standardized exam, the scores are normally distributed with a mean of 190 anda standard deviation of 20. Find the z-score of a person who scored 155 on the exam.

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asked Sep 9, 2023 96.1k views

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On a standardized exam, the scores are normally distributed with a mean of 190 anda standard deviation of 20. Find the z-score of a person who scored 155 on the exam.

Mathematics
college

Jamesharker asked

by Jamesharker

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2 Answers

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How is this a good answer there is no answer?

Armada answered Sep 10, 2023

by Armada

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Step 1

State an expression for the z-score

$z=(x-\mu)/(\sigma)$

Where

$\begin{gathered} \mu=\operatorname{mean}=190 \\ \sigma=\text{ Standard deviation}=20 \end{gathered}$

Step 2

Find the z-score when x = 155

James McConnell answered Sep 14, 2023

by James McConnell

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