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

Explanation

Let the other two observations be x and y.

Therefore, our observations are `1, 2, x, y, and 6.`

Given mean = `4.4 i.e. (sum of observation) / (number of observation)

= `4.4
1+2+6+x+y5=4.4`

`9 + x + y = 4.4 ×5`

`x + y = 22 – 9`

`x + y = 13` (equation 1)

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