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Normal Distribution · Question 18 of 68

Question 18

MediumOriginal question

A variable is normal with mean 80, and x=92x = 92 has z=1.5z = 1.5. What is the standard deviation?

Options for question 18

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 1.5=92−80σ1.5 = \frac{92 - 80}{\sigma}.

  2. σ=121.5=8\sigma = \frac{12}{1.5} = 8.

Worth noting

18 multiplies 12 by 1.5 instead of dividing.

Concept
The standard deviation from one value
Typical time
90 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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