Arithmetic mean of $$$1$$$, $$$2$$$, $$$3$$$, $$$4$$$, $$$5$$$

The calculator will find the arithmetic mean of $$$1$$$, $$$2$$$, $$$3$$$, $$$4$$$, $$$5$$$, with steps shown.

Related calculators: Geometric Mean Calculator, Harmonic Mean Calculator

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Your Input

Find the arithmetic mean of $$$1$$$, $$$2$$$, $$$3$$$, $$$4$$$, $$$5$$$.

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 $$$1 + 2 + 3 + 4 + 5 = 15$$$.

Therefore, the arithmetic mean is $$$\mu = \bar{x} = \frac{15}{5} = 3$$$.

Answer

The arithmetic mean is $$$\mu = 3$$$A.