Question

Following table shows the points of each player scored in four games. Now answer the following questions:

1. Find the mean to determine A’s average number of points scored per game.
2. To find the mean number of points per game for C, would you divide the total points by $3$ or by $4$? Why?
3. B played in all the four games. How would you find the mean?
4. Who is the best performer?

Player	Game 1	Game 2	Game 3	Game 4
A	$14$	$16$	$10$	$10$
B	$0$	$8$	$6$	$4$
C	$8$	$11$	Did not play	$13$

Answer 1

Step 1: Solve for mean to determine A’s average number of points scored per game

$AveragenumberofpointsscoredpergamebyA=\frac{TotalpointsscoredbyAinallgames}{Totalnumberofgames}$$$\begin{gathered} =\frac{14+16+10+10}{4} \\ =\frac{50}{4} \\ =12.5points \end{gathered}$$

Thus, average number of points scored by A per game is $12.5points$

Step 2: Identify for the required value

To find the mean number of points per game for C, we will divide the total points by $3$ as C played only three games.

Step 3: Solve for the mean of B's score

$MeanofB\text{'}sscore=\frac{TotalpointsscoredbyBinallgames}{Totalnumberofgames}$

$$\begin{gathered} =\frac{0+8+6+4}{4} \\ =\frac{18}{4} \\ =4.5points \end{gathered}$$

Thus, Mean of B's Score is $4.5points$

Step 4: Identify the best performer

To determine the best performer among three players we have to find the average points of C

i.e. $\frac{8+11+13}{3}=\frac{32}{3}=10.67points$

By observing the mean score of A, B and C, the average points scored by A i.e. $12.5$ is more than that of B and C.

$\therefore$we can say that A is the best performer.

Hence,

1. Average number of points scored by A per game is $12.5points$
2. To find the mean number of points per game for C, we will divide the total points by $3$ as C played only three games.
3. Mean of B's Score is $4.5points$
4. A is the best performer