What are the average marks obtained by the students with four highest scores…

Concept

To find the arithmetic mean of n observations, add the observations and divide the total by n.

When a question asks for the highest scores, first rank all scores in descending order and select only the required number before averaging.

Application

1. Read the Physics scores from the table and arrange them from highest to lowest: 92, 90, 86, 77, 63, 50.

2. Select the four highest scores: 92, 90, 86, and 77.

3. Add the selected scores: 92 + 90 + 86 + 77 = 345.

4. Divide by the number of selected students: 345 ÷ 4 = 86.25.

Cross-check

Multiplying the mean by the number of selected students gives 86.25 × 4 = 345, which matches their total.

Therefore, the average marks obtained by the four highest scorers in Physics are 86.25.