# Average (Mean) Calculator

For the given group of numbers, the calculator will find their average (mean or arithmetic mean), with steps shown.

Related calculator: Geometric Mean Calculator

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Find the arithmetic mean of $$1$$$, $$7$$$, $$8$$$, $$1$$$, $$3$$$, $$-2$$$, $$10$$$. ## 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 $$1 + 7 + 8 + 1 + 3 - 2 + 10 = 28$$$. Therefore, the arithmetic mean is $$\mu = \bar{x} = \frac{28}{7} = 4$$$.
The arithmetic mean is $$\mu = 4$$\$A.