Measures of central tendency — Statistics STD 11 Commerce — Question
Gujarat BoardEnglish MediumSTD 11 CommerceStatisticsMeasures of central tendency2 Marks
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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