Question

Show that standard deviation is independent of change of origin

Answer 1

Answer:

Step-by-step explanation:

It was designed that way. If you subtract the mean from all the observations, then any way to combine the modified observations will not depend on the mean. The mean of the modified observations is zero.

On the other hand we have not tried to remove scale effects because we want a measure of scale.

We can remove the scale. The skewness and kurtosis use standardised observations, subtracting the mean and dividing by the standard deviation.

Answer 2

Answer:

yes it is true that standard deviation is independent of change of origin.