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Arithmetic mean of $$$2$$$, $$$1$$$, $$$9$$$, $$$-3$$$, $$$\frac{5}{2}$$$
Related calculators: Geometric Mean Calculator, Harmonic Mean Calculator
Your Input
Find the arithmetic mean of $$$2$$$, $$$1$$$, $$$9$$$, $$$-3$$$, $$$\frac{5}{2}$$$.
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 $$$5$$$ points, $$$n = 5$$$.
The sum of the values is $$$2 + 1 + 9 - 3 + \frac{5}{2} = \frac{23}{2}$$$.
Therefore, the arithmetic mean is $$$\mu = \bar{x} = \frac{\frac{23}{2}}{5} = \frac{23}{10}$$$.
Answer
The arithmetic mean is $$$\mu = \frac{23}{10} = 2.3$$$A.