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What is the height of a student who’s z score is 3? When the mean is 49 inches and the standard deviation is 2

User Kacperito
by
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2 Answers

3 votes

Answer:

The student is 55 inches tall.

Explanation:

To solve this problem we need to use the following formula


Z=(x- \mu)/(\sigma)

Where
Z is the z-value,
\mu is the mean,
\sigma is the standard deviation and
x is the height of the student.

In this case, we have


Z=3\\\mu=49\\\sigma=2

Replacing all these values, we have


3=(x- 49)/(2)\\6=x-49\\x=6+49\\x=55

Therefore, the student is 55 inches tall.

User Soloidx
by
7.5k points
4 votes

Answer:

55 inches

Explanation:

This question is on z-score for a sample

The general formula for finding z score for a sample is;

z=(x-μ)/δ...................where x is the sample is the height , μ is the mean and δ is the standard deviation

Given;

z=3 x=? μ=49 δ=2

Substitute values above in the general formulae

z=(x-μ)/δ

3=(x-49)/2


3=(x-49)/(2) \\\\\\3*2=x-49\\\\\\6=x-49\\\\\\6+49=x\\\\\\55=x

User Twinturbotom
by
8.3k points

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