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In a class of P students , the average ( arithmetic mean ) of the test scores is 70 .
In another class of N Students , the average of the scores for the same test is 92 .
When the scores of the two classes are combined , the average of the test scores is 86 .
what is the value of P / N
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answer is 3/8
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Answer:
AM = (sum of all observation)/number of observation
AM = 70
70 = sigma x/P
=> sigma x1 = 70 P
similarly in tne other class 92 = sigma x/N
=> sigma x2 = 92 N
when combined AM = 86
86 = (sigma x1 + sigma x2/(P + N)
86 ( P + N ) = x1 + x2
86 (P + N ) = 70 P + 92 N
86 P + 86 N = 70 P + 92 N
86 P - 70 P = 92 N - 86 N
16 P = 6 N
P/N = 6/16
P/N = 3/8
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