Question

Three sets of data on comparable situations are available as under:

Considering all the data sets together, the overall mean value would be:

A 7.24 Correct Answer Incorrect Answer
B 7.66 Correct Answer Incorrect Answer
C 8.08 Correct Answer Incorrect Answer
D 8.50 Correct Answer Incorrect Answer

Solution

If there are multiple datasets, containing some observations, their weighted mean can be calculated as – Where, x1, x2, …, and x3 are the mean of their respective datasets. n1, n2, …, and n3 are the total number of observations in each data set. So, in the given question, • x1 = 8, x2 = 7, and x3 = 9 • n1 = 9, n2 = 12, and n3 = 15 • Thereby overall mean = (8*9 + 12*7 + 15*9)/ (9+12+15) • = (72+84+135)/(36) • =291/36 = 8.08 • Hence option C is correct.

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