Some pupils took a Math test. Their average score was 74.8 marks. One of the pupils' scores was wrongly recorded as 69 marks instead of 96 marks. As a result, the average score was calculated as 73.3 marks. How many pupils sat for the test?
| |
If that pupil's score was 96 |
If that pupil's score was 69 |
| Number of pupils |
1 u |
1 u |
| Average score |
74.8 |
73.3 |
| Total score |
74.8 u |
73.3 u |
Difference in the scores due to being wrongly recorded
= 96 - 69
= 27
Difference in total scores of the pupils is due to the difference in the wrongly recorded score.
74.8 u - 73.3 u = 27
1.5 u = 27
1 u = 27 ÷ 1.5 = 18
Number of pupils = 18
Answer(s): 18
