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Normal Distribution · Question 15 of 68

Question 15

MediumOriginal question

A variable is normal with mean 50 and standard deviation 5. Which value of xx has z=−1.2z = -1.2?

Options for question 15

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. x=μ+zσx = \mu + z\sigma.

  2. x=50+(−1.2)(5)=50−6=44x = 50 + (-1.2)(5) = 50 - 6 = 44.

Worth noting

56 adds the 6 instead of subtracting it: a negative z lies below the mean.

Concept
From z back to x
Typical time
90 s
Your time
—
The rule this testsThe standard normal variate
Practise this chapter →

Ten questions from Normal Distribution, at your own pace.

Practise this chapter →

Ten questions from Normal Distribution, at your own pace.