Question 10 of 18intermediate🔧 ApplyNumerical4 marks

The following table shows the points scored by each player in four games: Player A: 14, 16, 10, 10; Player B: 0, 8, 6, 4; Player C: 8, 11, Did not play, 13. (a) Find the average number of points scored per game by A. (b) To find the mean number of points scored per game by C, would you divide the total points by 3 or by 4? Why? What about B? (c) Who is the best performer?

(a)
Answer

Player A's average = (14 + 16 + 10 + 10) ÷ 4 = 50 ÷ 4 = 12.5 points per game.

(b)
Answer

For Player C, divide by 3 because they only played 3 games (did not play one game). For Player B, divide by 4 because they played all 4 games. The average should be calculated based on games actually played.

(c)
Answer

Player A is the best performer with an average of 12.5 points per game, compared to Player C (10.67) and Player B (4.5).

Explanation

(a) Add all points scored by A and divide by the number of games played. (b) The chapter explains that when a player does not play a game, that game should not be counted in the denominator. (c) Compare the average points per game for all players to determine the best performer.