1. The problem is to find the mean (average) of the numbers 0.4, 0.342, 0.27, 0.1, and 0.583. 2. The formula for the mean of a set of numbers $x_1, x_2, \ldots, x_n$ is: $$\text{Mean} = \frac{x_1 + x_2 + \cdots + x_n}{n}$$ where $n$ is the number of values. 3. Here, we have 5 numbers, so $n=5$. 4. Calculate the sum: $$0.4 + 0.342 + 0.27 + 0.1 + 0.583 = 1.695$$ 5. Divide the sum by the number of values: $$\frac{1.695}{5} = 0.339$$ 6. Therefore, the mean of the numbers is $0.339$. This means if you evenly distribute the total of these numbers into 5 parts, each part would be 0.339.