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Candidates of four schools appear in a mathematics test. The data were as follows: SchoolsNo. of candidatesAverage ScoreI6075II4880IIINot available55IV4050If the average score of the candidates of all the four schools is 66, find the number of candidates that appeared from school III. |
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Answer» Let the number of candidates from school III be P.
Given, Average score of all schools = 66 \(\frac{N1x1+N2x2+N3x3+N4x4}{N1+N2+N3+N4}=66\) \(\frac{60\times75+48\times80+p\times55+40\times50}{+0+48+p+40}=66\) \(\frac{4500+3840+55p+2000}{148+p}=66\) 10340 + 55P = 66P + 9768 10340 – 9768 = 66P – 55P p = \(\frac{572}{11}=52\) |
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