# Arithmetic mean of $1$, $37$, $9$, $0$, $- \frac{3}{5}$, $9$, $10$

The calculator will find the arithmetic mean of $1$, $37$, $9$, $0$, $- \frac{3}{5}$, $9$, $10$, with steps shown.

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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 $\mu = \bar{x} = \frac{\frac{327}{5}}{7} = \frac{327}{35}$.

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