The mean height for American adult men is 5 feet 10 inches (5’10”). The standard deviation is roughly 3 inches. Is a 5’7” man considered abnormally short? Discuss your reasons.

Yair Valentine

Yair Valentine

Answered question

2022-08-11

Question: The mean height for American adult men is 5 feet 10 inches (5’10”). The standard deviation is roughly 3 inches. Is a 5’7” man considered abnormally short? Discuss your reasons.

Answer & Explanation

pokajalaq1

pokajalaq1

Beginner2022-08-12Added 18 answers

Solution:
lets convert feet to inches
5 f e e t = 5 12 = 60
m e a n = 60 + 10 = 70 i n c h e s
s d = 3 i n c h e s
x = 5 f e e t   7   i n c h = 5 12 + 7 = 67   i n c h e s
z score=x-mean/sd
= 67 70 3
= 3 3
= 1
his height is 1 std dev below mean
any zscore above greater than 3 or less than -3 is considered to be an outlier .
here its only -1 and it is less than -3
hence,5’7” man not considered abnormally short.

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