Question

prove that arithmetic mean depends upon the origin and the scale.​

Answer 1

Answer:

Step-by-step explanation:

Change of origin means some value has been added or subtracted in the observation.

Change of scale means some value is multiplied or divided to observations.

As for example.

Effect of Change of origin on mean.

If mean of some observations is 5

If we add 3 to all observations then new mean also increases by 3, similarly if we subtract 3 to all observations again mean decreases by 3.

Effect of change of scale on mean.

If we multiply each observations by x.then new mean become x times of initial mean.

If we divide all observations with x then new mean =initial mean/x.