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Normal Distribution · Question 57 of 68

Question 57

MediumOriginal question

Scores are normal with mean 500 and standard deviation 50. What percentage score between 450 and 600? (Take P(0<Z<1)=0.3413P(0 < Z < 1) = 0.3413 and P(0<Z<2)=0.4772P(0 < Z < 2) = 0.4772.)

Options for question 57

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 450 gives z=−1z = -1 and 600 gives z=2z = 2.

  2. 0.3413+0.4772=0.81850.3413 + 0.4772 = 0.8185, that is 81.85%.

Worth noting

13.59% subtracts the areas; the interval straddles the mean, so they add.

Concept
The share between two values
Typical time
90 s
Your time
—
The rule this testsUsing the normal distribution
Practise this chapter →

Ten questions from Normal Distribution, at your own pace.

Practise this chapter →

Ten questions from Normal Distribution, at your own pace.