Answer:
The values of x and y is given by the equation
.
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}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B%5Csum%20x_n%7D%7Bn%7D)
![m=\frac{4+6+x+y+10}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B4%2B6%2Bx%2By%2B10%7D%7B5%7D)
![m=\frac{20+x+y}{5}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B20%2Bx%2By%7D%7B5%7D)
Median is middle term of observations.
Median of odd terms
term
![M=\frac{5+1}{2}^{th}](https://tex.z-dn.net/?f=M%3D%5Cfrac%7B5%2B1%7D%7B2%7D%5E%7Bth%7D)
term
The mean and median of the five numbers are the same.
i.e. ![\frac{20+x+y}{5}=x](https://tex.z-dn.net/?f=%5Cfrac%7B20%2Bx%2By%7D%7B5%7D%3Dx)
![20+x+y=5x](https://tex.z-dn.net/?f=20%2Bx%2By%3D5x)
![4x-y=20+y](https://tex.z-dn.net/?f=4x-y%3D20%2By)
The values of x and y is given by the equation
.
Answer:
The equation would be 2,250 - 120<em>m</em>
10/3. To find this answer you have to either multiply or divide by a specific number. You choose the number that goes into each of them. In this case I divided by 2 to both the top and bottom number. When I did this I got the answer of 10/3