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Question Number 25549 by pieroo last updated on 11/Dec/17

The mean weights of three groups of students  consisting of 16, 18 and 20 students are 40.5kg, 42.50kg  and 45.00kg respectively. What is the mean weight  of all the students?

$$\mathrm{The}\:\mathrm{mean}\:\mathrm{weights}\:\mathrm{of}\:\mathrm{three}\:\mathrm{groups}\:\mathrm{of}\:\mathrm{students} \\ $$$$\mathrm{consisting}\:\mathrm{of}\:\mathrm{16},\:\mathrm{18}\:\mathrm{and}\:\mathrm{20}\:\mathrm{students}\:\mathrm{are}\:\mathrm{40}.\mathrm{5kg},\:\mathrm{42}.\mathrm{50kg} \\ $$$$\mathrm{and}\:\mathrm{45}.\mathrm{00kg}\:\mathrm{respectively}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{mean}\:\mathrm{weight} \\ $$$$\mathrm{of}\:\mathrm{all}\:\mathrm{the}\:\mathrm{students}? \\ $$

Answered by Rasheed.Sindhi last updated on 11/Dec/17

((40.5×16+42.5×18+45×20)/(16+18+20))≈42.83

$$\frac{\mathrm{40}.\mathrm{5}×\mathrm{16}+\mathrm{42}.\mathrm{5}×\mathrm{18}+\mathrm{45}×\mathrm{20}}{\mathrm{16}+\mathrm{18}+\mathrm{20}}\approx\mathrm{42}.\mathrm{83} \\ $$

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