Define weighted mean - Vidyadip

Question

Define weighted mean

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Answer

When the Importance of all the observations of the data is not equal, then by assigning weightage to each observation in proposition to its Importance, the mean obtained called weighted mean. It is denoted by $\overline{x w}$
Suppose the weights assigned to observations $X _1, X _2, X _3$ ........ $X _{ n }$ are respectively $W _1 W_2$ ............ $W _{ n }$ then weighted mean $\overline{x w}=\frac{W 1 X 1+W 2 X 2+\ldots \ldots W n X n}{W 1+W 2+\ldots+W n}=\frac{\sum W x}{\sum w}$

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