Some pupils took a Math mock exam. Their average score was 78.4 marks. One of the pupils' scores was wrongly recorded as 79 marks instead of 97 marks. As a result, the average score was calculated as 76.9 marks. How many pupils sat for the mock exam?
|
If that pupil's score was 97 |
If that pupil's score was 79 |
Number of pupils |
1 u |
1 u |
Average score |
78.4 |
76.9 |
Total score |
78.4 u |
76.9 u |
Difference in the scores due to being wrongly recorded
= 97 - 79
= 18
Difference in total scores of the pupils is due to the difference in the wrongly recorded score.
78.4 u - 76.9 u = 18
1.5 u = 18
1 u = 18 ÷ 1.5 = 12
Number of pupils = 12
Answer(s): 12