Basic Math Examples

$- 25$ , $- 20$ , $- 13$ , $- 2$ , $9$ , $15$ , $17$ , $14$ , $7$ , $- 4 - 4$ , $- 16$ , $- 23$

Step 1

Subtract $4$ from $- 4$ .

$- 25, - 20, - 13, - 2, 9, 15, 17, 14, 7, - 8, - 16, - 23$

Step 2

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

$\frac{- 25 - 20 - 13 - 2 + 9 + 15 + 17 + 14 + 7 - 8 - 16 - 23}{12}$

Step 3

Simplify the numerator.

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Step 3.1

Subtract $20$ from $- 25$ .

$\frac{- 45 - 13 - 2 + 9 + 15 + 17 + 14 + 7 - 8 - 16 - 23}{12}$

Step 3.2

Subtract $13$ from $- 45$ .

$\frac{- 58 - 2 + 9 + 15 + 17 + 14 + 7 - 8 - 16 - 23}{12}$

Step 3.3

Subtract $2$ from $- 58$ .

$\frac{- 60 + 9 + 15 + 17 + 14 + 7 - 8 - 16 - 23}{12}$

Step 3.4

Add $- 60$ and $9$ .

$\frac{- 51 + 15 + 17 + 14 + 7 - 8 - 16 - 23}{12}$

Step 3.5

Add $- 51$ and $15$ .

$\frac{- 36 + 17 + 14 + 7 - 8 - 16 - 23}{12}$

Step 3.6

Add $- 36$ and $17$ .

$\frac{- 19 + 14 + 7 - 8 - 16 - 23}{12}$

Step 3.7

Add $- 19$ and $14$ .

$\frac{- 5 + 7 - 8 - 16 - 23}{12}$

Step 3.8

Add $- 5$ and $7$ .

$\frac{2 - 8 - 16 - 23}{12}$

Step 3.9

Subtract $8$ from $2$ .

$\frac{- 6 - 16 - 23}{12}$

Step 3.10

Subtract $16$ from $- 6$ .

$\frac{- 22 - 23}{12}$

Step 3.11

Subtract $23$ from $- 22$ .

$\frac{- 45}{12}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Cancel the common factor of $- 45$ and $12$ .

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Step 4.1.1

Factor $3$ out of $- 45$ .

$\frac{3 (- 15)}{12}$

Step 4.1.2

Cancel the common factors.

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Step 4.1.2.1

Factor $3$ out of $12$ .

$\frac{3 \cdot - 15}{3 \cdot 4}$

Step 4.1.2.2

Cancel the common factor.

$\frac{3 \cdot - 15}{3 \cdot 4}$

Step 4.1.2.3

Rewrite the expression.

$\frac{- 15}{4}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{15}{4}$

Step 5

Divide.

$- 3.75$

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.

$- 3.8$