Candidates of four schools appear in a mathematics test. The data were as follows:
Schools | No. of Candidates | Average Score |
I | 60 | 75 |
II | 48 | 80 |
III | Not available | 55 |
IV | 40 | 50 |
If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III.
Let the number of candidates from school III be P.
Schools | No. of candidates (N ;) | Average score (x ;) |
I | 60 | 75 |
II | 48 | 80 |
III | P | 55 |
IV | 40 | 50 |
Given,
Average score of all schools = 66
= 66
= 66
= 66
10340 + 55P = 66P + 9768
10340 – 9768 = 66P – 55P
P = = 52