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A data set of n observations has mean 2\(\overline{x}\) while another data set of 2n observations has mean \(\overline{x}\).The mean of the combined data set of 3n observations will be equal to:(a) \(\overline{x}\)(b) \(\frac{3}{2}\)\(\overline{x}\)(c) \(\frac{2}{3}\)\(\overline{x}\)(d) \(\frac{4}{3}\)\(\overline{x}\) |
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Answer» (d) \(\frac{4}{3}\)\(\overline{x}\) Mean of the combined data = \(\frac{n\times2\overline{x}+2n\times\overline{x}}{n+2n}\) = \(\frac{2n\overline{x}+2n\overline{x}}{3n}\) = \(\frac{4n\overline{x}}{3n}=\frac43\overline{x}\) |
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