A score that is 9 points above the mean corresponds to a z score of +1. What is the population standard deviation?

Kathy Guerra

Kathy Guerra

Answered question

2022-09-03

A score that is 9 points above the mean corresponds to a z score of +1. What is the population standard deviation?

Answer & Explanation

Matteo Estes

Matteo Estes

Beginner2022-09-04Added 9 answers

Given information
As given:
A score is 9 points above the mean.
It corresponds to a z score of +1.
It is required to find the population standard deviation here.
Let's assume the score is " k ". Then as per the given information, k is 9 points above the mean. That is, k = mean + 9
Subtract mean from both the sides of equation. k  mean = 9
The formula of z score, for k, will be as follows
z = k mean population standard deviation
From above, " k - mean = 9" .
Therefore, 1 = 9 population standard deviation
Multiply both sides by " population standard deviation ". Therefore, population standard deviation =9
Hence, the population standard deviation is 9.

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