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An online entrance exam was conducted in 250 centres all over a country. The average number of applicants per centre was found to be 1250. However, it was later realised that in one centre, the number of applicants was counted as 1758 instead of 1658. What was the correct average number of applicants per centre?

An online entrance exam was conducted in 250 centres all over a country. The average number of applicants per centre was found to be 1250. However, it was later realised that in one centre, the number of applicants was counted as 1758 instead of 1658. What was the correct average number of applicants per centre? Correct Answer 1249.6

Total number of exam centres = 250

Average number of applicants per centre = 1250

Total number of applicants = 1250 × 250 = 312500

It was later realised that in one centre, the number of applicants was counted as 1758 instead of 1658.

Correct number of applicants = 312500 + 1658 – 1758

= 314158 – 1758

= 312400

Correct average number of applicants per centre = 312400 ÷ 250 = 1249.6

Hence, ‘1249.6’ is the correct answer.

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