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A group consists of 3 males, 3 females and 5 children. The average age of the males is 50 years, that…

The total age is \(3\times50+3\times45+5\times10=150+135+50=335\) years for 11 people. The average is \(\frac{335}{11}\approx30.45\) years. Averaging the three group means,…

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A group consists of 3 males, 3 females and 5 children. The average age of the males is 50 years, that of females is 45 years and that of children is 10 years. What is the approximate average age of the group?

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The total age is 3×50+3×45+5×10=150+135+50=3353\times50+3\times45+5\times10=150+135+50=335 years for 11 people. The average is 33511≈30.45\frac{335}{11}\approx30.45 years. Averaging the three group means, which gives 35, is wrong because the groups differ in size.

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