# 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.**