Find the Mean 26 , 19 , 23 , 39 , 31 , 34 , 23 , 25

$26$ , $19$ , $23$ , $39$ , $31$ , $34$ , $23$ , $25$

Step 1

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

$\frac{26 + 19 + 23 + 39 + 31 + 34 + 23 + 25}{8}$

Step 2

Simplify the numerator.

Add $26$ and $19$ .

$\frac{45 + 23 + 39 + 31 + 34 + 23 + 25}{8}$

Add $45$ and $23$ .

$\frac{68 + 39 + 31 + 34 + 23 + 25}{8}$

Add $68$ and $39$ .

$\frac{107 + 31 + 34 + 23 + 25}{8}$

Add $107$ and $31$ .

$\frac{138 + 34 + 23 + 25}{8}$

Add $138$ and $34$ .

$\frac{172 + 23 + 25}{8}$

Add $172$ and $23$ .

$\frac{195 + 25}{8}$

Add $195$ and $25$ .

$\frac{220}{8}$

Step 3

Cancel the common factor of $220$ and $8$ .

Factor $4$ out of $220$ .

$\frac{4 (55)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$\frac{4 \cdot 55}{4 \cdot 2}$

Cancel the common factor.

$\frac{4 \cdot 55}{4 \cdot 2}$

Rewrite the expression.

$\frac{55}{2}$

Step 4

Divide.

$27.5$