Solution :
Given :
The mean height of an American adult = 5 feet 10 inches
Therefore converting feet into inches,
We know, 1 feet = 12 inches
So, 5 feet = 5 x 12 = 60 inches
The mean height in inches = 60+10
= 70 inches
The standard deviation = 3 inches
x = 5 feet 7 inches
= 5 x 12 + 7
= 67 inches
∴ z score =
Therefore, the man's height is 1 standard deviation below mean
Any score above greater than 3 or less than -3 is considered to be an outliner.
Here its only -1 and it is less than -3.
Therefore, the height of the man 5'7'' is not considered abnormally short.