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​The distribution of heights (in inches) of students aged 18–20 has a mean of 54 and standard deviation of 2.5. What will be the z-score for a student
Question

The distribution of heights (in inches) of students aged 18–20 has a mean of 54 and standard deviation of 2.5. What will be the z-score for a student who is 5 feet tall?

A.

2.4

B.

3.1

C.

1.5

D.

2.9

Correct option is A

Explanation-

To calculate the z-score, we use the formula:

z=Xμσz = \frac{X - \mu}{\sigma}

Where:
 = the observed value (in this case, 5 feet = 60 inches)
 = the mean (average) = 54 inches
 = the standard deviation = 2.5 inches

by putting the values-

z=60542.5=62.5=2.4z = \frac{60 - 54}{2.5} = \frac{6}{2.5} = 2.4

So, the correct answer is option A : 2.4


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