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In a test, the average score of 52 students is 45. If the highest and the lowest scores (got by only one-one student) are excluded, the average score of the remaining students would decrease by 1. What is the average score of the highest and the lowest scores?

In a test, the average score of 52 students is 45. If the highest and the lowest scores (got by only one-one student) are excluded, the average score of the remaining students would decrease by 1. What is the average score of the highest and the lowest scores? Correct Answer 70

Given:

The average score of 52 students is 45.

Formula used:

The sum of the score of all students = the average × total number of students

Calculation:

The sum of the scores of 52 students(A) = 52 × 45 = 2340

If the highest and the lowest scores are excluded then the average decreases by 1

The sum of the scores of remaining 50 students(B) = 50 × 44 = 2200

The sum of the highest and the lowest scores = A - B

⇒  A - B = 2340 - 2200

⇒  A - B = 140

The average of the highest and the lowest scores = 140/2 = 70

∴ The average of the highest and the lowest scores 70.

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