Basic Math Examples

$- \frac{15}{7}$ , $\frac{37}{7}$

Step 1

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

$\frac{- \frac{15}{7} + \frac{37}{7}}{2}$

Step 2

Simplify the numerator.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{\frac{- 15 + 37}{7}}{2}$

Step 2.2

Add $- 15$ and $37$ .

$\frac{\frac{22}{7}}{2}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{22}{7} \cdot \frac{1}{2}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $22$ .

$\frac{2 (11)}{7} \cdot \frac{1}{2}$

Step 4.2

Cancel the common factor.

$\frac{2 \cdot 11}{7} \cdot \frac{1}{2}$

Step 4.3

Rewrite the expression.

$\frac{11}{7}$

Step 5

Divide.

$1.\overline{571428}$

Step 6

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.

$1.6$