The average score of a class of 34 students is 72. if the top score and least score, which differ by 72, are excluded, the average score of the class drops by 1. What is the top score?

The average score of a class of 34 students is 72. if the top score and least score, which differ by 72, are excluded, the average score of the class drops by 1. What is the top score? Correct Answer 124

Given:

The total students in the class are 34

Concept:

Average = (Sum of all the items in the group)/(Number of items in the group)

Calculation:

⇒ Total score of all class = 34 × 72 = 2448

⇒ Total score, excluding the top and the least scores = 71 × 32 = 2272

⇒ Let the top and the least scores be x and y respectively.

⇒ x + y = 2448 - 2272 = 176     ----(1)

⇒ x - y = 72     ----(2)

Now, adding the equation(2) form equation(1),

(x + y) + (x - y) = 176 + 72

⇒ 2x = 248

⇒ x = 248/2

⇒ x = 124

∴ The required result will be 124.