A class of 40 students took a test and the average score was 45. However, 25 was mistakenly recorded as 35 twice and 38 was mista…

Question

A class of 40 students took a test and the average score was 45. However, 25 was mistakenly recorded as 35 twice and 38 was mistakenly recorded as 32 once.

What is the correct average score?

1. A. 44.65 (Correct answer)
2. B. 38
3. C. 48.27
4. D. 49.80

Correct Answer

Option A — 44.65

Detailed Solution & Explanation

The correct answer is 44.65.

Key Points

• Original total = 40×45=1800.
• Correction: 25 recorded as 35 twice (−20), 38 recorded as 32 (+6). Correct total=1786. Average=1786/40=44.65.