Basic Math Examples

10

$10$ ,

$12$ ,

$14$ ,

$16$ ,

$18$ ,

$20$ ,

$22$ ,

$24$

Step 1

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

$\frac{10 + 12 + 14 + 16 + 18 + 20 + 22 + 24}{8}$

Step 2

Cancel the common factor of

$10 + 12 + 14 + 16 + 18 + 20 + 22 + 24$ and

$8$ .

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Step 2.1

Factor

$2$ out of

$10$ .

$\frac{2 (5) + 12 + 14 + 16 + 18 + 20 + 22 + 24}{8}$

Step 2.2

Factor

$2$ out of

$12$ .

$\frac{2 \cdot 5 + 2 \cdot 6 + 14 + 16 + 18 + 20 + 22 + 24}{8}$

Step 2.3

Factor

$2$ out of

$2 \cdot 5 + 2 \cdot 6$ .

$\frac{2 \cdot (5 + 6) + 14 + 16 + 18 + 20 + 22 + 24}{8}$

Step 2.4

Factor

$2$ out of

$14$ .

$\frac{2 \cdot (5 + 6) + 2 (7) + 16 + 18 + 20 + 22 + 24}{8}$

Step 2.5

Factor

$2$ out of

$2 \cdot (5 + 6) + 2 (7)$ .

$\frac{2 \cdot (5 + 6 + 7) + 16 + 18 + 20 + 22 + 24}{8}$

Step 2.6

Factor

$2$ out of

$16$ .

$\frac{2 \cdot (5 + 6 + 7) + 2 (8) + 18 + 20 + 22 + 24}{8}$

Step 2.7

Factor

$2$ out of

$2 \cdot (5 + 6 + 7) + 2 (8)$ .

$\frac{2 \cdot (5 + 6 + 7 + 8) + 18 + 20 + 22 + 24}{8}$

Step 2.8

Factor

$2$ out of

$18$ .

$\frac{2 \cdot (5 + 6 + 7 + 8) + 2 (9) + 20 + 22 + 24}{8}$

Step 2.9

Factor

$2$ out of

$2 \cdot (5 + 6 + 7 + 8) + 2 (9)$ .

$\frac{2 \cdot (5 + 6 + 7 + 8 + 9) + 20 + 22 + 24}{8}$

Step 2.10

Factor

$2$ out of

$20$ .

$\frac{2 \cdot (5 + 6 + 7 + 8 + 9) + 2 (10) + 22 + 24}{8}$

Step 2.11

Factor

$2$ out of

$2 \cdot (5 + 6 + 7 + 8 + 9) + 2 (10)$ .

$\frac{2 \cdot (5 + 6 + 7 + 8 + 9 + 10) + 22 + 24}{8}$

Step 2.12

Factor

$2$ out of

$22$ .

$\frac{2 \cdot (5 + 6 + 7 + 8 + 9 + 10) + 2 (11) + 24}{8}$

Step 2.13

Factor

$2$ out of

$2 \cdot (5 + 6 + 7 + 8 + 9 + 10) + 2 (11)$ .

$\frac{2 \cdot (5 + 6 + 7 + 8 + 9 + 10 + 11) + 24}{8}$

Step 2.14

Factor

$2$ out of

$24$ .

$\frac{2 \cdot (5 + 6 + 7 + 8 + 9 + 10 + 11) + 2 (12)}{8}$

Step 2.15

Factor

$2$ out of

$2 \cdot (5 + 6 + 7 + 8 + 9 + 10 + 11) + 2 (12)$ .

$\frac{2 \cdot (5 + 6 + 7 + 8 + 9 + 10 + 11 + 12)}{8}$

Step 2.16

Cancel the common factors.

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Step 2.16.1

Factor

$2$ out of

$8$ .

$\frac{2 \cdot (5 + 6 + 7 + 8 + 9 + 10 + 11 + 12)}{2 (4)}$

Step 2.16.2

Cancel the common factor.

$\frac{2 \cdot (5 + 6 + 7 + 8 + 9 + 10 + 11 + 12)}{2 \cdot 4}$

Step 2.16.3

Rewrite the expression.

$\frac{5 + 6 + 7 + 8 + 9 + 10 + 11 + 12}{4}$

Step 3

Simplify the numerator.

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Step 3.1

Add

$5$ and

$6$ .

$\frac{11 + 7 + 8 + 9 + 10 + 11 + 12}{4}$

Step 3.2

Add

$11$ and

$7$ .

$\frac{18 + 8 + 9 + 10 + 11 + 12}{4}$

Step 3.3

Add

$18$ and

$8$ .

$\frac{26 + 9 + 10 + 11 + 12}{4}$

Step 3.4

Add

$26$ and

$9$ .

$\frac{35 + 10 + 11 + 12}{4}$

Step 3.5

Add

$35$ and

$10$ .

$\frac{45 + 11 + 12}{4}$

Step 3.6

Add

$45$ and

$11$ .

$\frac{56 + 12}{4}$

Step 3.7

Add

$56$ and

$12$ .

$\frac{68}{4}$

Step 4

Divide

$68$ by

$4$ .

$17$