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10 is the mean of a set of7observations and5 is the mean of a set of3observations. The mean of the…

The combined total is 7×10+3×5=85 over 10 observations, so the mean is 8.5. 7.5 unweights the group means, while 10 and 15 do not represent the combined mean.

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10 is the mean of a set of7observations and5 is the mean of a set of3observations. The mean of the combined set is given by

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The combined total is 7×10+3×5=85 over 10 observations, so the mean is 8.5. 7.5 unweights the group means, while 10 and 15 do not represent the combined mean.

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