Arithmetic mean of $$$1$$$, $$$3$$$, $$$6$$$, $$$5$$$, $$$8$$$

Find the arithmetic mean of $$$1$$$, $$$3$$$, $$$6$$$, $$$5$$$, $$$8$$$.

The arithmetic mean of data is given by the formula $$$\mu = \bar{x} = \frac{\sum_{i=1}^{n} x_{i}}{n}$$$, where $$$n$$$ is the number of values and $$$x_i, i=\overline{1..n}$$$ are the values themselves.

Since we have $$$5$$$ points, $$$n = 5$$$.

The sum of the values is $$$1 + 3 + 6 + 5 + 8 = 23$$$.

Therefore, the arithmetic mean is $$$\mu = \bar{x} = \frac{23}{5}$$$.

The arithmetic mean is $$$\mu = \frac{23}{5} = 4.6$$$A.