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Question

The mean of 5 observations is 4.4 and their variance is 8.24. If three of the observations are 1, 2 and 6. The other two observations are:

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Explanation

Let remaining be x,y. Sum =5×4.4=22, so x+y=13. Variance gives sum of squares 137.8. Then x²+y²=96. Solving quadratic yields 4 and 9. Verification matches mean and variance constraints simultaneously satisfying both equations.

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