Measures of central tendency — Statistics STD 11 Commerce — Question
Gujarat BoardEnglish MediumSTD 11 CommerceStatisticsMeasures of central tendency2 Marks
Question
Explain the combined mean.
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Answer
If the number of observations and mean of two or more groups are given, then the mean of the combined group is called the combined mean. It is denoted by $\overline{X C}$.
Suppose, k groups having the observations $n _1, n _2 \ldots \ldots . . n _{ K }$ have means respectively $\bar{X} 1, \overline{X 2}, \overline{X 3}$, $\overline{X k}$. then their combined mean is obtained as follows :
$\overline{X c}=\frac{\overline{n 1 X} 1+n 2, \overline{X_2}+n 3, \overline{X 3}, \ldots \ldots}{n 1+n 2+\ldots,+n k}$
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