question archive Kona, a 15-year-old boy, is 72 inches tall

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Kona, a 15-year-old boy, is 72 inches tall. According to the CDC, the average height at this age is 67.00 inches with a standard deviation of 3.19 inches.

a. Calculate Kona’s z score.

b. What is Kona’s percentile score for height?

c. What percentage of boys this age are shorter than Kona?

d. What percentage of heights are at least as extreme as Kona’s, in either direction?

e. If Ian is in the 30th percentile for height as a 15-year-old boy, how tall is he? How does he compare to Kona?