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A normal distribution of score has a standard deviation of 10 and a mean of 0. What is the z score of a score that is 20 points above the mean?

User Betamax
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1 Answer

7 votes

Given a Normal Distribution, you know that:

- The Standard Deviation is:


\sigma=10

- The Mean is:


\mu=0

The formula for calculating the z-score is:


z=(X-\mu)/(\sigma)

Where μ is the Mean and σ is the Standard Deviation.

In this case, the score is 20 points above the mean, therefore;


X=\mu+20=0+20=20

Therefore, by substituting values into the formula and evaluating, you get:


z=(20-0)/(10)
z=(20)/(10)
z=2

Hence, the answer is:


z=2

User Stanislav Kralin
by
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