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Q. If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall?
A. z=-5
B. z=-2
C. z=2
D. z=5

Respuesta :

Answer:

-2

Step-by-step explanation:

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The Zscore of the third grader is - 2

Given that :

Mean = 52 inches

Standard deviation = 2.5 inches

Height of third grader, X = 47 inches

The Z score for a normal distribution is given as :

Z score = (X - mean) / standard deviation)

Zscore = (47 - 52) / 2.5

Zscore = (-5) / 2.5

Zscore = - 2

Hence, the Zscore is - 2

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