Average Calculator
Calculate arithmetic mean step by step
For the given group of numbers, the calculator will find their average (arithmetic mean), with steps shown.
Related calculators: Geometric Mean Calculator, Harmonic Mean Calculator
Your Input
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 $$$\mu = \bar{x} = \frac{28}{7} = 4$$$.
Answer
The arithmetic mean is $$$\mu = 4$$$A.