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Arithmetic mean of $$$1$$$, $$$37$$$, $$$9$$$, $$$0$$$, $$$- \frac{3}{5}$$$, $$$9$$$, $$$10$$$
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Find the arithmetic mean of $$$1$$$, $$$37$$$, $$$9$$$, $$$0$$$, $$$- \frac{3}{5}$$$, $$$9$$$, $$$10$$$.
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 $$$1 + 37 + 9 + 0 - \frac{3}{5} + 9 + 10 = \frac{327}{5}$$$.
Therefore, the arithmetic mean is $$$\mu = \bar{x} = \frac{\frac{327}{5}}{7} = \frac{327}{35}$$$.
Answer
The arithmetic mean is $$$\mu = \frac{327}{35}\approx 9.342857142857143$$$A.