Find the Mean 1 , 5 , 7 , 9 , 11 , 16 , 18 , 20 , 30 , 35

$1$ , $5$ , $7$ , $9$ , $11$ , $16$ , $18$ , $20$ , $30$ , $35$

Step 1

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

$\frac{1 + 5 + 7 + 9 + 11 + 16 + 18 + 20 + 30 + 35}{10}$

Step 2

Simplify the numerator.

Add $1$ and $5$ .

$\frac{6 + 7 + 9 + 11 + 16 + 18 + 20 + 30 + 35}{10}$

Add $6$ and $7$ .

$\frac{13 + 9 + 11 + 16 + 18 + 20 + 30 + 35}{10}$

Add $13$ and $9$ .

$\frac{22 + 11 + 16 + 18 + 20 + 30 + 35}{10}$

Add $22$ and $11$ .

$\frac{33 + 16 + 18 + 20 + 30 + 35}{10}$

Add $33$ and $16$ .

$\frac{49 + 18 + 20 + 30 + 35}{10}$

Add $49$ and $18$ .

$\frac{67 + 20 + 30 + 35}{10}$

Add $67$ and $20$ .

$\frac{87 + 30 + 35}{10}$

Add $87$ and $30$ .

$\frac{117 + 35}{10}$

Add $117$ and $35$ .

$\frac{152}{10}$

Step 3

Cancel the common factor of $152$ and $10$ .

Factor $2$ out of $152$ .

$\frac{2 (76)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$\frac{2 \cdot 76}{2 \cdot 5}$

Cancel the common factor.

$\frac{2 \cdot 76}{2 \cdot 5}$

Rewrite the expression.

$\frac{76}{5}$

Step 4

Divide.

$15.2$