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Question

The average resulting from the multiplication of each value by a weighted factor is known as .

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Solution

Weighted average is the average resulting from the multiplication of each value by a weighted factor. It is calculated as,

Weighted Average=(w1×n1)+(w2×n2)++(wl×nl)w1+w2++wl,

where w1,w2,,wl are weighted factors and n1,n2,,nl are data points.

For example, let the average age of 20 cows is 6 years and the average age of 10 goats is 4 years.

This can be represented as,


Here, the number of cows (w1=20) and the number of goats (w2=10) are weighted factors and their average age, n1=6 and n2=4 are the data points.

Thus, their weighted average age will be calculated as,

Weighted Average age=(w1×n1)+(w2×n2)w1+w2=(20×6)+(10×4)20+10=120+4030=16030=5.33

Thus, the weighted average age of these animals is 5.33 years.

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