Arithmetic mean of 11, 3737, 99, 00, 35- \frac{3}{5}, 99, 1010

The calculator will find the arithmetic mean of 11, 3737, 99, 00, 35- \frac{3}{5}, 99, 1010, with steps shown.

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Your Input

Find the arithmetic mean of 11, 3737, 99, 00, 35- \frac{3}{5}, 99, 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+37+9+035+9+10=32751 + 37 + 9 + 0 - \frac{3}{5} + 9 + 10 = \frac{327}{5}.

Therefore, the arithmetic mean is μ=xˉ=32757=32735\mu = \bar{x} = \frac{\frac{327}{5}}{7} = \frac{327}{35}.

Answer

The arithmetic mean is μ=327359.342857142857143\mu = \frac{327}{35}\approx 9.342857142857143A.