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Normal Distribution · Question 10 of 68

Question 10

EasyOriginal question

A variable is normal with mean 60 and standard deviation 8. What is the standard normal variate zz for x=72x = 72?

Options for question 10

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. z=x−μσz = \frac{x - \mu}{\sigma}.

  2. z=72−608=128=1.5z = \frac{72 - 60}{8} = \frac{12}{8} = 1.5.

Worth noting

12 is the distance from the mean in marks; z counts it in standard deviations.

Concept
Converting a value to z
Typical time
60 s
Your time
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The rule this testsThe standard normal variate
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Ten questions from Normal Distribution, at your own pace.

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