The mean of 5 observations 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

To solve the problem step by step, we will use the information given about the mean and variance of the observations.

### Step 1: Understand the given information
We have 5 observations, with 3 of them being 1, 2, and 6. We need to find the other two observations, which we will denote as \( x \) and \( y \). The mean of these observations is given as 4.4, and the variance is given as 8.24.

### Step 2: Calculate the sum of the observations using the mean
The formula for the mean (\( \bar{x} \)) is:
\[
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