Basic Math Examples

- 25

$- 25$ ,

- 20

$- 20$ ,

- 13

$- 13$ ,

- 2

$- 2$ ,

9

$9$ ,

15

$15$ ,

17

$17$ ,

14

$14$ ,

7

$7$ ,

- 4 - 4

$- 4 - 4$ ,

- 16

$- 16$ ,

- 23

$- 23$

Step 1

Subtract

4

$4$ from

- 4

$- 4$ .

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

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

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}

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

Step 3

Simplify the numerator.

Tap for more steps...

Step 3.1

Subtract

20

$20$ from

- 25

$- 25$ .

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

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

Step 3.2

Subtract

13

$13$ from

- 45

$- 45$ .

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

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

Step 3.3

Subtract

2

$2$ from

- 58

$- 58$ .

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

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

Step 3.4

Add

- 60

$- 60$ and

9

$9$ .

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

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

Step 3.5

Add

- 51

$- 51$ and

15

$15$ .

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

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

Step 3.6

Add

- 36

$- 36$ and

17

$17$ .

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

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

Step 3.7

Add

- 19

$- 19$ and

14

$14$ .

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

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

Step 3.8

Add

- 5

$- 5$ and

7

$7$ .

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

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

Step 3.9

Subtract

8

$8$ from

2

$2$ .

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

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

Step 3.10

Subtract

16

$16$ from

- 6

$- 6$ .

\frac{- 22 - 23}{12}

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

Step 3.11

Subtract

23

$23$ from

- 22

$- 22$ .

\frac{- 45}{12}

$\frac{- 45}{12}$

\frac{- 45}{12}

$\frac{- 45}{12}$

Step 4

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 4.1

Cancel the common factor of

- 45

$- 45$ and

12

$12$ .

Tap for more steps...

Step 4.1.1

Factor

3

$3$ out of

- 45

$- 45$ .

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

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

Step 4.1.2

Cancel the common factors.

Tap for more steps...

Step 4.1.2.1

Factor

3

$3$ out of

12

$12$ .

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

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

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.

$- 3.8$