Find the Mean 8 , 15 , 9 , 7 , 4 , 5 , 9 , 11

$8$ , $15$ , $9$ , $7$ , $4$ , $5$ , $9$ , $11$

Step 1

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

$\frac{8 + 15 + 9 + 7 + 4 + 5 + 9 + 11}{8}$

Step 2

Simplify the numerator.

Add $8$ and $15$ .

$\frac{23 + 9 + 7 + 4 + 5 + 9 + 11}{8}$

Add $23$ and $9$ .

$\frac{32 + 7 + 4 + 5 + 9 + 11}{8}$

Add $32$ and $7$ .

$\frac{39 + 4 + 5 + 9 + 11}{8}$

Add $39$ and $4$ .

$\frac{43 + 5 + 9 + 11}{8}$

Add $43$ and $5$ .

$\frac{48 + 9 + 11}{8}$

Add $48$ and $9$ .

$\frac{57 + 11}{8}$

Add $57$ and $11$ .

$\frac{68}{8}$

Step 3

Cancel the common factor of $68$ and $8$ .

Factor $4$ out of $68$ .

$\frac{4 (17)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$\frac{4 \cdot 17}{4 \cdot 2}$

Cancel the common factor.

$\frac{4 \cdot 17}{4 \cdot 2}$

Rewrite the expression.

$\frac{17}{2}$

Step 4

Divide.

$8.5$