A student obtained 60 marks in English, 75 in Hindi, 63 in Mathematics, 59 in Economics and 55 in Statistics. Calculate weighted mean of the marks if weights are respectively 2, 1, 5, 5 and 3.

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Solution

The information given in the question can be presented as follows.

Subject Marks
(X) Weight
(W) WX

English
Hindi
Mathematics
Economics
Statistics 60
75
63
59
55 2
1
5
5
3 120
75
315
295
165

∑W = 16 ∑WX = 970

$X_{W} = \frac{Σ W X}{Σ W} = \frac{970}{16} = 60.625$
Hence, the weighted mean marks is 60.625

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Subject	Marks (X)	Weight (W)	WX
English Hindi Mathematics Economics Statistics	60 75 63 59 55	2 1 5 5 3	120 75 315 295 165




		∑W = 16	∑WX = 970

A student obtained 60 marks in English, 75 in Hindi, 63 in Mathematics, 59 in Economics and 55 in Statistics. Calculate weighted mean of the marks if weights are respectively 2, 1, 5, 5 and 3.

The information given in the question can be presented as follows. Subject Marks (X) Weight (W) WX English Hindi Mathematics Economics Statistics 60 75 63 59 55 2 1 5 5 3 120 75 315 295 165 ∑W = 16 ∑WX = 970 XW=ΣWXΣW =97016 =60.625 Hence, the weighted mean marks is 60.625