Weighted Mean is an average computed by giving different weights to some of the individual values. If all the weights are equal, then the weighted mean is the same as the arithmetic mean.
It represents the average of a given data. The Weighted mean is similar to arithmetic mean or sample mean. The Weighted mean is calculated when data is given in a different way compared to an arithmetic mean or sample mean.
Whereas weighted means generally behave in a similar approach to arithmetic means, they do have a few counter-instinctive properties. Data elements with a high weight contribute more to the weighted mean than do elements with a low weight.
The weights cannot be negative. Some may be zero, but not all of them; since division by zero is not allowed. Weighted means play an important role in the systems of data analysis, weighted differential and integral calculus.
FORMULA OF WEIGHTED MEAN
The Weighted mean for given set of non-negative data x1,x2,x3,….xn with non-negative weights w1,w2,w3,….wn can be derived from the formula.
Where,
x is the repeating value
w is the number of occurrences of x weight
x¯ is the weighted mean
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