Question

Five students had a mean score of 90 points on a test. One test was scored incorrectly, and that particular test score was later raised by 5 points. What is the new mean score?

Answer 1

To calculate the new mean score after one test score was incorrectly increased by 5 points, you should find the original total points, adjust for the correction, and then recalculate the mean. The new mean score for the five students is 91.

Step-by-step explanation:

The question asks for the new mean score after a test score was raised by 5 points among five students. Originally, the mean score was 90 points. To find the total points before the score correction, you multiply 90 (the mean) by 5 (the number of students) to get 450 points in total. Then, add 5 points to correct the single test score, resulting in a new total of 455 points. To find the new mean, divide this total by the number of students, which is 5. The new mean is therefore 91 (455 ÷ 5).

1. Multiply the original mean score (90) by the number of students (5) to get the total original points (450).
2. Add 5 points to the total to account for the score correction (450 + 5 = 455).
3. Divide the new total points (455) by the number of students (5) to find the new mean score (91).