Arithmetic mean of $$$1$$$, $$$2$$$, $$$3$$$, $$$4$$$, $$$5$$$
Related calculators: Geometric Mean Calculator, Harmonic Mean Calculator
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.