The same 20 contestants, on each of 3 days, answered 5 questions in order to win a prize. Each contestant received 1 point for each correct answer. The number of contestants receiving a given score on each day is shown in the table above.
What was the mean score of the contestants on Day 1 ?

Answer

B, D

Explanation

The mean score of the 20 contestants on Day 1 is found by dividing the sum of the total scores of the contestants by the number of contestants. It is given that each contestant received 1 point for each correct answer. The table shows that on Day 1, 2 contestants each answered 5 questions correctly, so those 2 contestants scored 10 points in total (2 × 5 = 10). Similarly, the table shows 3 contestants each answered 4 questions correctly, so those 3 contestants scored 12 points in total (3 × 4 = 12). Continuing these calculations reveals that the 4 contestants who answered 3 questions correctly scored 12 points in total (4 × 3 = 12), the 6 contestants who answered 2 questions correctly scored 12 points in total (6 × 2 = 12), the 2 contestants who answered 1 question correctly scored 2 points in total (2 × 1 = 2), and the 3 contestants who answered 0 questions correctly scored 0 points in total (3 × 0 = 0). Adding up the total of points scored by these 20 contestants gives 10 + 12 + 12 + 12 + 2 + 0 = 48. Therefore, the mean score of the contestants is `48/20` = 2.4. Either 12/5, 2.4, or 2.40 can be gridded as the correct answer.