Question

Q. Mean ( x ) , Median ( y ) and Mode ( z ) are related as
(A) x - z = 3 ( x - y )
(B) x - y = 3 ( z - y )
(C) 3 ( x - z) = x - y
(D) x - y = z - y


Think carefully.
Give correct answer.​

Answer 1

Answer:

Option C [3 (x-y) = x-y] is the correct answer

Step-by-step explanation:

Please mark me as the Brainliest answer

Answer 2

We need to recall the following relation between mean, median, and mode.

• $Mode=3Median-2Mean$

This problem is about the relation of mean, median, and mode.

Given:

Mean $=x$ , Median $=y$, and Mode $=z$

Using the relation, we get

$z=3y-2x$

$-x+z=3y-2x-x$          ....(Subtract $x$ from each side)

$-x+z=3y-3x$

$-x+z=3(y-x)$

$-x+z=-3(x-y)$

$-(-x+z)=3(x-y)$         ....(Multiply both sides by $-1$)

$(x-z)=3(x-y)$

Hence, the correct option is (A) $x-z=3(x-y)$.