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:
[tex]Sum=8+12+10+6+14+x[/tex]
[tex]Sum=50+x[/tex]
We know that, the formula for mean is:
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]
So, the mean number of points scored per game is:
[tex]\text{Mean}=\dfrac{50+x}{6}[/tex]
It is given that the mean number of points scored per game is 9.
[tex]\dfrac{50+x}{6}=9[/tex]
[tex]50+x=9\times 6[/tex]
[tex]x=54-50[/tex]
[tex]x=4[/tex]
Therefore, the correct option is A.
