Question

if the mean of the data x1,x2,x3,xn is x find the mean of ax1,ax2,ax4,axn​

Answer 1

Answer:

The mean of ax1, ax2,ax3,..axn = ax

Step-by-step explanation:

Mean or Average = Sum of number of terms÷ Given number of terms

Given mean of x1, x2 ..xn =x

Number of terms=n

(x1+x2+...xn)÷n= x

Now each term is getting multiplied by a,

therefore ax1 + ax2+...axn÷n

= a(x1+x2+...xn)÷n

Substituting the value of (x1+x2+...xn)÷n= x in the above equation we get the value to be equal to ax

Therefore the mean of ax1, ax2,ax3,..axn = ax