Question

palle is a coach and for statistics on the team's players and number of goals scored. the average value for the number of goals scored is 5. Hanna has scored 16 goals. If Hanna's stats are removed from the list, the average drops to 4 goals.a) how many players does the list contain? b) what is the maximum possible number of goals that a player in the list can have scored.

Answer 1

a) There are 4 players in the list. b) The maximum possible number of goals that a player in the list can have scored is 0.

Step-by-step explanation:

a) To find the number of players in the list, we can use the equation (average number of goals) × (number of players) = (total number of goals). Let's assume there are x players in the list. The average number of goals is 5, so (5) × (x) = (total number of goals). Substituting the given value of total number of goals as 16, we get 5x = 16. Solving for x, we find x = 16/5 = 3.2. Since we can't have a fraction of a player, we round up to the nearest whole number. Therefore, there are 4 players in the list.

b) To find the maximum possible number of goals that a player in the list can have scored, we need to determine the remaining goals after Hanna's stats are removed. The average drops to 4 goals, so the total number of goals (excluding Hanna) is (4) × (number of players - 1). Substituting the given value of number of players as 4, we get (4) × (4 - 1) = 4 × 3 = 12 goals. Since Hanna has scored 16 goals in total, the maximum possible number of goals that a player in the list can have scored is 12 - (16 - 4) = 12 - 12 = 0 goals. Therefore, the maximum possible number of goals that a player in the list can have scored is 0.