Question

in one county, the farms had a mean harvested area of 103 acres with a standard deviation of 9 acres. what will be the mean and standard deviation of the distribution of area in square kilometers? 1 acre approximately equals 0.004 square kilometers.

Explanation:

Step1: Convert the mean

To convert the mean from acres to square - kilometers, we use the conversion factor. Multiply the mean in acres by the conversion factor.
$103\times0.004 = 0.412$

Step2: Convert the standard deviation

To convert the standard deviation from acres to square - kilometers, multiply the standard deviation in acres by the conversion factor.
$9\times0.004=0.036$

Answer:

The mean is $0.412$ square kilometers and the standard deviation is $0.036$ square kilometers.