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.