Given:
The table of point scored in 5 games.
After game 6, the mean number of points scored per game is 9.
To find:
The points scored by Maya in game 6.
Solution:
Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:
![Sum=8+12+10+6+14+x](https://tex.z-dn.net/?f=Sum%3D8%2B12%2B10%2B6%2B14%2Bx)
![Sum=50+x](https://tex.z-dn.net/?f=Sum%3D50%2Bx)
We know that, the formula for mean is:
![\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}](https://tex.z-dn.net/?f=%5Ctext%7BMean%7D%3D%5Cdfrac%7B%5Ctext%7BSum%20of%20all%20observations%7D%7D%7B%5Ctext%7BTotal%20number%20of%20observations%7D%7D)
So, the mean number of points scored per game is:
![\text{Mean}=\dfrac{50+x}{6}](https://tex.z-dn.net/?f=%5Ctext%7BMean%7D%3D%5Cdfrac%7B50%2Bx%7D%7B6%7D)
It is given that the mean number of points scored per game is 9.
![\dfrac{50+x}{6}=9](https://tex.z-dn.net/?f=%5Cdfrac%7B50%2Bx%7D%7B6%7D%3D9)
![50+x=9\times 6](https://tex.z-dn.net/?f=50%2Bx%3D9%5Ctimes%206)
![x=54-50](https://tex.z-dn.net/?f=x%3D54-50)
![x=4](https://tex.z-dn.net/?f=x%3D4)
Therefore, the correct option is A.