Arithmetic mean of $$$25$$$, $$$27$$$, $$$24$$$, $$$31$$$, $$$30$$$, $$$19$$$

Find the arithmetic mean of $$$25$$$, $$$27$$$, $$$24$$$, $$$31$$$, $$$30$$$, $$$19$$$.

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 $$$25 + 27 + 24 + 31 + 30 + 19 = 156$$$.

Therefore, the arithmetic mean is $$$\mu = \bar{x} = \frac{156}{6} = 26$$$.

The arithmetic mean is $$$\mu = 26$$$A.