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


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