question_answer 5)

Following table shows the points of each player scored in four games:

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

Now answer the following questions: (i) Find the mean to determine A's average number of points scored per game. (ii) To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why? (iii) B played in all the four games. How would you find the mean? (iv) Who is the best performer?

Answer:

                (i) \[\text{Mean =}\frac{\text{sum of all observations}}{\text{number of obsesvations}}\]                 \[=\frac{14+16+10+10}{4}=\frac{50}{4}=12.5\] So, A's average number of points scored per game is 12.5. (ii) To find the mean number of points per game for C, we shall divide the total points by 3 because the number of games under consideration is 4 but 'C' did not play game 3. (iii) \[\text{Mean =}\frac{\text{sum of all observations}}{\text{number of obsesvations}}\] \[=\frac{0+8+6+4}{4}=\frac{18}{4}=4.5\]  (iv) C's average number of points scored per game \[\text{=}\frac{\text{sum of all observations}}{\text{number of observations}}\] \[=\frac{8+11+13}{3}=\frac{32}{3}=10.6\] [\[\because \] ?C? did not play Game 3] So, the best performer is A.