Question

The means of three samples of sizes 200, 250 and 300 are 25,10 and 15 respectively . Find out the mean of the combined distribution

Answer 1

Answer:

16

Step-by-step explanation:

200 * 25 + 250 * 10 + 300 * 15 / 750

Answer 2

Answer:

The mean is 240 and combined distribution is 42.02.

Step-by-step explanation:

As per the data given in the question

We have to calculate mean of the combined distribution.

As per the questions

It is given that

The means of three samples of sizes 200, 250 and 300 are 25,10 and 15 respectively.

Let us assume that x=200,250,300

and f=25,10,15

then Mean=$f_{i}x_{i} /f_{i}$

= Mean= $\frac{5000+2500+4500}{50}$=240

variance =$\frac{(x_{i}-x)^2 }{n}$

variance = $\frac{-40^{2}+10^{2}+60^{2} }{3}$

variance=1766

combined distribution =$\sqrt{1766}$ =  42.02

Hence,the mean is 240 and combined distribution is 42.02.

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