1.

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.

Answer»

Let the number of candidates from school III be P.

SchoolsNo. of candidates (N ;)Average score (x ;)
I6075
II4880
IIIp55
iv4050

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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