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Normal Distribution · Question 12 of 68

Question 12

EasyOriginal question

A variable is normal with mean 65 and standard deviation 6. What is the standard normal variate zz for x=74x = 74?

Options for question 12

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

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

  2. z=74−656=1.5z = \frac{74 - 65}{6} = 1.5.

Worth noting

9 is the distance from the mean in units, not in standard deviations.

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

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