Arithmetic mean of $$$8$$$, $$$7$$$, $$$7$$$, $$$5$$$, $$$3$$$, $$$2$$$, $$$2$$$

Find the arithmetic mean of $$$8$$$, $$$7$$$, $$$7$$$, $$$5$$$, $$$3$$$, $$$2$$$, $$$2$$$.

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 $$$7$$$ points, $$$n = 7$$$.

The sum of the values is $$$8 + 7 + 7 + 5 + 3 + 2 + 2 = 34$$$.

Therefore, the arithmetic mean is $$$\mu = \bar{x} = \frac{34}{7}$$$.

The arithmetic mean is $$$\mu = \frac{34}{7}\approx 4.857142857142857$$$A.