What is combined mean? How is it calculated?

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Answer

When two or more distributions are given with their number of items or frequencies we can calculate combined mean by applying the following formula.$\overline{\text{x}}_{12}=\frac{\text{N}_1\overline{\text{x}}_1+\text{N}_2\overline{\text{x}}_{2}}{\text{N}_1+\text{N}_2}$
Where,$\overline{\text{x}}_{12}$ is combined mean of two series.
$n_1 $is number of items in first series.$\overline{\text{x}}_{1}$ is mean of first series.
$n_2$ is number of items in second series.$\overline{\text{x}}_{2}$ is mean of second series
It can be extended to more than two series by applying the following formula:$\overline{\text{x}}=\frac{\text{N}_1\overline{\text{x}}_1+\text{N}_2\overline{\text{x}}_2+...+\text{N}_\text{n}\overline{\text{x}}_\text{n}}{\text{N}_1+\text{N}_2+...+\text{N}_\text{n}}$

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