What percentage of candidates score below 52…

What percentage of candidates score below 52 in Mathematics?

Question 23

MediumOriginal question

In a board's Mathematics exam the marks are normal with mean 60 and standard deviation 8; in its English exam they are normal with mean 55 and standard deviation 10. Aman scores 76 in Mathematics and 70 in English. (Take $P(0 < Z < 1) = 0.3413$ .)

What percentage of candidates score below 52 in Mathematics?

15.87%Correct answerYour answer31.74%Correct answerYour answer34.13%Correct answerYour answer84.13%Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer A

Correct answer: A

$z = \frac{52 - 60}{8} = -1$ .
$0.5 - 0.3413 = 0.1587$ , so 15.87%.

Worth noting

84.13% is the share scoring 52 or more.

Concept: The share below a value
Typical timeTypical: 120 s
Your timeYours: —

The rule this testsThe standard normal variate

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Ten questions from Normal Distribution, at your own pace.

Practise this chapter →

Ten questions from Normal Distribution, at your own pace.

What percentage of candidates score below 52 in Mathematics?

Question 23

Explanation