Question

The mean of n observation is x bar . if each observation is multiplied by k ,then find the mean of new observation .

Answer 1

let the observation be x1,X2,X3,x4… . it is given mean of observation be x bar. therefore x1+X2+X3+x4…/n is x bar. now x1+X2+X3+x4...×k/n . we place x bar in place ofx1+X2+X3+x4../n .hence we find the new mean is k × xbar

Answer 2

The mean of new observation is k(x bar)

If each observation is multiplied by k, then the mean of the observations increases k times.