The mean and standard deviation in inches are 69.6063 inches and 2.83465 inches respectively. Computed using unit conversions.
Unit conversion is the process of converting a magnitude of the same nature from one unit to another using fixed constants.
The constant between centimeters and inches are as follows:
1 inch = 2.54 cm,
or, 1 cm = 1/2.54 inches = 0.3937 inches.
In the question, we are informed that in a report of the National Center for Health Statistics, the heights of 20-year-old men have a mean of 176.8 (cm) and a standard deviation of 7.2 cm.
We are asked to find the mean and standard deviation in inches.
To calculate the mean in inches:-
We know that 1 cm = 1/2.54 inches.
Therefore, the mean of 176.8 cm = 176.8/2.54 inches = 69.6063 inches.
To calculate the standard deviation in inches:-
We know that 1 cm = 1/2.54 inches.
Therefore, the standard deviation of 7.2 cm = 7.2/2.54 inches = 2.83465 inches.
Thus, the mean and standard deviation in inches are 69.6063 inches and 2.83465 inches respectively. Computed using unit conversions.
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