Basic Math Examples

$21$ , $23$ , $21$ , $39$ , $25$ , $31$

Step 1

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

$\frac{21 + 23 + 21 + 39 + 25 + 31}{6}$

Step 2

Cancel the common factor of $21 + 23 + 21 + 39 + 25 + 31$ and $6$ .

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Step 2.1

Rewrite $21$ as $1 (21)$ .

$\frac{1 (21) + 23 + 21 + 39 + 25 + 31}{6}$

Step 2.2

Rewrite $23$ as $1 (23)$ .

$\frac{1 \cdot 21 + 1 \cdot 23 + 21 + 39 + 25 + 31}{6}$

Step 2.3

Factor $1$ out of $1 \cdot 21 + 1 \cdot 23$ .

$\frac{1 \cdot (21 + 23) + 21 + 39 + 25 + 31}{6}$

Step 2.4

Rewrite $21$ as $1 (21)$ .

$\frac{1 \cdot (21 + 23) + 1 (21) + 39 + 25 + 31}{6}$

Step 2.5

Factor $1$ out of $1 \cdot (21 + 23) + 1 (21)$ .

$\frac{1 \cdot (21 + 23 + 21) + 39 + 25 + 31}{6}$

Step 2.6

Rewrite $39$ as $1 (39)$ .

$\frac{1 \cdot (21 + 23 + 21) + 1 (39) + 25 + 31}{6}$

Step 2.7

Factor $1$ out of $1 \cdot (21 + 23 + 21) + 1 (39)$ .

$\frac{1 \cdot (21 + 23 + 21 + 39) + 25 + 31}{6}$

Step 2.8

Rewrite $25$ as $1 (25)$ .

$\frac{1 \cdot (21 + 23 + 21 + 39) + 1 (25) + 31}{6}$

Step 2.9

Factor $1$ out of $1 \cdot (21 + 23 + 21 + 39) + 1 (25)$ .

$\frac{1 \cdot (21 + 23 + 21 + 39 + 25) + 31}{6}$

Step 2.10

Rewrite $31$ as $1 (31)$ .

$\frac{1 \cdot (21 + 23 + 21 + 39 + 25) + 1 (31)}{6}$

Step 2.11

Factor $1$ out of $1 \cdot (21 + 23 + 21 + 39 + 25) + 1 (31)$ .

$\frac{1 \cdot (21 + 23 + 21 + 39 + 25 + 31)}{6}$

Step 2.12

Cancel the common factors.

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Step 2.12.1

Rewrite $6$ as $1 (6)$ .

$\frac{1 \cdot (21 + 23 + 21 + 39 + 25 + 31)}{1 (6)}$

Step 2.12.2

Cancel the common factor.

$\frac{1 \cdot (21 + 23 + 21 + 39 + 25 + 31)}{1 \cdot 6}$

Step 2.12.3

Rewrite the expression.

$\frac{21 + 23 + 21 + 39 + 25 + 31}{6}$

Step 3

Simplify the numerator.

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Step 3.1

Add $21$ and $23$ .

$\frac{44 + 21 + 39 + 25 + 31}{6}$

Step 3.2

Add $44$ and $21$ .

$\frac{65 + 39 + 25 + 31}{6}$

Step 3.3

Add $65$ and $39$ .

$\frac{104 + 25 + 31}{6}$

Step 3.4

Add $104$ and $25$ .

$\frac{129 + 31}{6}$

Step 3.5

Add $129$ and $31$ .

$\frac{160}{6}$

Step 4

Cancel the common factor of $160$ and $6$ .

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Step 4.1

Factor $2$ out of $160$ .

$\frac{2 (80)}{6}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 80}{2 \cdot 3}$

Step 4.2.2

Cancel the common factor.

$\frac{2 \cdot 80}{2 \cdot 3}$

Step 4.2.3

Rewrite the expression.

$\frac{80}{3}$

Step 5

Divide.

$26.\overline{6}$

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.

$26.667$