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

y - x = 16

Explanation:

Explanation:-

Step(i):-

Given data set A is 9,5,y,2,x

Mean of the Data set A

=
`(9 + 5 + y + 2 +x)/(5)`

=
`(16 +x+y)/(5)`

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

Mean of the Data set B

=
`(8+ x+4+1+3)/(5)`

Step(ii):-

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

`(16 +x+y)/(5) = 2 X (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