Arithmetic mean of $$$2$$$, $$$4$$$, $$$5$$$, $$$0$$$, $$$4$$$, $$$3$$$, $$$1$$$
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Find the arithmetic mean of $$$2$$$, $$$4$$$, $$$5$$$, $$$0$$$, $$$4$$$, $$$3$$$, $$$1$$$.
Solution
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 $$$2 + 4 + 5 + 0 + 4 + 3 + 1 = 19$$$.
Therefore, the arithmetic mean is $$$\mu = \bar{x} = \frac{19}{7}$$$.
Answer
The arithmetic mean is $$$\mu = \frac{19}{7}\approx 2.714285714285714$$$A.