Final answer:
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.