Question

The means of three samples of sizes 200, 350 and 300 are 25,10 and 15 respectively . Find out the mean of the combined distribution

Answer 1

Answer:

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Step-by-step explanation:

$so \: here \: \\ n1 = 200 \\ n2 = 350 \\ n3 = 300 \\ \\ Mean \: x1 = 25 \\ Mean \: x2 = 10 \\ Mean \: x3 = 15$

$so \: hence \: using \\ combined \: mean \: (Xc) =( n1. x1 + n2.x2 + n3.x3) /n1 + n2 + n3 \\ = (200 \times 25) + (350 \times 10) + (300 \times 15)/200 + 300 + 350 \\ = 5000 + 3500 + 4500/850 \\ = 8500 + 4500/850 \\ = 13000/850 \\ = 15.294 \\ = 15.29$

$hence \: combined \: mean \: is\: about \: 15.29$