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Normal Distribution · Question 13 of 68

What is Aman's z-score in Mathematics?

Question 13

EasyOriginal 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 is Aman's $z$ -score in Mathematics?

\frac{19}{15}

Correct answerYour answer

1.5

Correct answerYour answer

2

Correct answerYour answer

16

Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

$z = \frac{76 - 60}{8}$ .
$\frac{16}{8} = 2$ .

Worth noting

1.5 is his English $z$ -score.

Concept: The standard score
Typical timeTypical: 90 s
Your timeYours: —

The rule this testsThe standard normal variate

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