Normal height for 11 year old boy

Asked by maham237 @ in Mathematics viewed by 334 People

The average height of a 13 year old male in the U.S. is 60 inches, with a standard deviation of 2 inches. The average weight of a 13 year old male in the U.S. is 100 pounds, with a standard deviation of 5 pounds. If Daniel, a 13 year old male, is 68 inches tall and weighs 115 pounds, is his height or weight more unusual?

Answered by maham237 @


Since the average height is 60 inches and its deviation is 2 inches, one deviation to the right (or higher) is 62 inches (60 + 2). Two deviations is 64 inches, three deviations is 66 inches, and four deviations is 68 inches.


Since the average weight is 100 pounds and its deviation is 5 inches, we repeat the process from finding heights to get to 115 pounds. That takes three deviations.


The MORE deviations away, the more unusual it is. So the height (4 deviations) is more unusual than the weight (3 deviations).


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