Algebra Examples

$- 4$ , $- 3$ , $- 1$ , $- 1$ , $0$ , $1$

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{- 4 - 3 - 1 - 1 + 0 + 1}{6}$

Simplify the numerator.

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Subtract $3$ from $- 4$ .

$\frac{- 7 - 1 - 1 + 0 + 1}{6}$

Subtract $1$ from $- 7$ .

$\frac{- 8 - 1 + 0 + 1}{6}$

Subtract $1$ from $- 8$ .

$\frac{- 9 + 0 + 1}{6}$

Add $- 9$ and $0$ .

$\frac{- 9 + 1}{6}$

Add $- 9$ and $1$ .

$\frac{- 8}{6}$

Reduce the expression by cancelling the common factors.

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Cancel the common factor of $- 8$ and $6$ .

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Factor $2$ out of $- 8$ .

$\frac{2 (- 4)}{6}$

Cancel the common factors.

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Factor $2$ out of $6$ .

$\frac{2 \cdot - 4}{2 \cdot 3}$

Cancel the common factor.

$\frac{2 \cdot - 4}{2 \cdot 3}$

Rewrite the expression.

$\frac{- 4}{3}$

Move the negative in front of the fraction.

$- \frac{4}{3}$

Divide.

$- 1.\overline{3}$

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

$- 1.3$