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

55 inches

Step-by-step 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

Step-by-step explanation:

To solve this problem we need to use the following formula

Where is the z-value, is the mean, is the standard deviation and is the height of the student.

In this case, we have

Replacing all these values, we have

Therefore, the student is 55 inches tall.

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