For a given dataset, the unit for the population standard deviation would be:
A
B
C
D
0 댓글
검증된 단계별 안내
1
Recall that the population standard deviation measures the average amount by which data points deviate from the population mean, expressed in the same units as the original data.
Understand that the variance is calculated as the average of the squared deviations from the mean, so its unit is the square of the original data's unit.
Since the standard deviation is the square root of the variance, taking the square root reverses the squaring of the units, bringing the unit back to the original data's unit.
Therefore, the unit of the population standard deviation is the same as the unit of the original data, not unitless, reciprocal, or squared.
Summarize that this property makes the standard deviation a more interpretable measure of spread compared to variance, as it is expressed in the same units as the data.