Calculate weighted mean of the following data:

Items (X) 5 10 15 20 25 30

Weight (W) 8 4 5 10 7 6

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Solution

Item
(X) Weight
(W) WX

5
10
25
20
25
30 8
4
5
10
7
6 40
40
125
200
175
180

ΣW = 40 ΣWX = 760

Calculating the weighted mean:

$X_{W} = \frac{Σ W X}{Σ W} or, {\bar{X}}_{w} = \frac{760}{40} \Rightarrow {\bar{X}}_{w} = 19$

Hence, the weighted mean of the above data is 19

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