### Normal distribution which gives standard deviation also mean

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##### Reference no: EM1316569

Finding the value of X using normal distribution given standard deviation and mean.

A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 22 and a standard deviation of 5.2. Scores on the second test are normally distributed with a mean of 72 and a standard deviation of 11.5. Assume that the two tests use different scales to measure the same aptitude. If a student scores 28 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)
A. 86
B. 85
C. 78
D. 83

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