Arithmetic mean of $$$8$$$, $$$7$$$, $$$-2$$$, $$$6$$$, $$$3$$$, $$$2$$$

Find the arithmetic mean of $$$8$$$, $$$7$$$, $$$-2$$$, $$$6$$$, $$$3$$$, $$$2$$$.

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 $$$6$$$ points, $$$n = 6$$$.

The sum of the values is $$$8 + 7 - 2 + 6 + 3 + 2 = 24$$$.

Therefore, the arithmetic mean is $$$\mu = \bar{x} = \frac{24}{6} = 4$$$.

The arithmetic mean is $$$\mu = 4$$$A.