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Question

A candidate obtains 46 marks in English , 67 in Mathematics , 53 in Hindi , 72 in History and 58 in Economics. It is agreed to give triple weights to marks in English and Double weights to marks in Mathematics as compared to other subjects . Calculate Weighted Mean. Also, compare it with simple Arithmetic Mean.

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Solution

Subject Mark (%)
(X)
Weight
(W)
WX
English
Mathematics
Hindi
History
Economics
46
67
53
72
58
3
2
1
1
1
138
134
53
72
58
ΣX = 296 ΣW = 8 ΣWX = 455

The given information can be summarised as above.

Simple Arithmetic Mean X=ΣXN=2965=59.2Weighted Arithmetic MeanXw=ΣWXΣW=4558=56.9
Thus, the weighted arithmetic mean is greater than the simple arithmetic mean.

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