Mean 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

Comma-separated.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please contact us.

Your Input

Find the arithmetic mean of 11, 77, 88, 11, 33, 2-2, 1010.

Solution

The arithmetic mean of data is given by the formula μ=xˉ=i=1nxin\mu = \bar{x} = \frac{\sum_{i=1}^{n} x_{i}}{n}, where nn is the number of values and xi,i=1..nx_i, i=\overline{1..n} are the values themselves.

Since we have 77 points, n=7n = 7.

The sum of the values is 1+7+8+1+32+10=281 + 7 + 8 + 1 + 3 - 2 + 10 = 28.

Therefore, the arithmetic mean is μ=xˉ=287=4\mu = \bar{x} = \frac{28}{7} = 4.

Answer

The arithmetic mean is μ=4\mu = 4A.