Question

The mean of the data set(9,5,y,2,x)is twice the data set (8,x, 4,1,3).What is (y-x)

Answer 1

Answer:

y - x = 16

Step-by-step explanation:

Explanation:-

Step(i):-

Given data set A  is  9,5,y,2,x

Mean of the Data set A

                         =   $\frac{9 + 5 + y + 2 +x}{5}$

                         = $\frac{16 +x+y}{5}$

Given data set B is 8, x, 4, 1, 3

Mean of the Data set B

                         =   $\frac{8+ x+4+1+3}{5}$

Step(ii):-                          

Mean of the Data set A  = 2 X Mean of the Data set B

              $\frac{16 +x+y}{5} = 2 X \frac{16+x}{5}$

On simplification , we get

           16 +x + y = 2( 16 +x)

           16 + x + y = 32 + 2 x

            16 + x + y - 32 - 2 x = 0

            y - x -16 =0

           y - x = 16