Question

Five whole numbers are written in order

Answer 1

Answer: x=7 y=8

Step-by-step explanation:

Answer 2

Answer:

The values of x and y is given by the equation $4x-y=20+y$.

Step-by-step explanation:

Given : Five whole numbers are written in order  4 6 x y 10 , the mean and median of the five numbers are the same.

To find : The values of x and y ?

Solution :

Observations 4, 6, x, y, 10.

Mean is summation of observation divided by number of observation.

i.e. $m=\frac{\sum x_n}{n}$

$m=\frac{4+6+x+y+10}{5}$

$m=\frac{20+x+y}{5}$

Median is middle term of observations.

Median of odd terms $M=\frac{n+1}{2}^{th}$ term

$M=\frac{5+1}{2}^{th}$

$M=3^{rd}$ term

$M=x$

The mean and median of the five numbers are the same.

i.e. $\frac{20+x+y}{5}=x$

$20+x+y=5x$

$4x-y=20+y$

The values of x and y is given by the equation $4x-y=20+y$.