Find the Mean 10 , 20 , 30 , 40 , 50

$10$ , $20$ , $30$ , $40$ , $50$

Step 1

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

$\frac{10 + 20 + 30 + 40 + 50}{5}$

Step 2

Cancel the common factor of $10 + 20 + 30 + 40 + 50$ and $5$ .

Factor $5$ out of $10$ .

$\frac{5 \cdot 2 + 20 + 30 + 40 + 50}{5}$

Factor $5$ out of $20$ .

$\frac{5 \cdot 2 + 5 \cdot 4 + 30 + 40 + 50}{5}$

Factor $5$ out of $5 \cdot 2 + 5 \cdot 4$ .

$\frac{5 \cdot (2 + 4) + 30 + 40 + 50}{5}$

Factor $5$ out of $30$ .

$\frac{5 \cdot (2 + 4) + 5 \cdot 6 + 40 + 50}{5}$

Factor $5$ out of $5 \cdot (2 + 4) + 5 (6)$ .

$\frac{5 \cdot (2 + 4 + 6) + 40 + 50}{5}$

Factor $5$ out of $40$ .

$\frac{5 \cdot (2 + 4 + 6) + 5 \cdot 8 + 50}{5}$

Factor $5$ out of $5 \cdot (2 + 4 + 6) + 5 (8)$ .

$\frac{5 \cdot (2 + 4 + 6 + 8) + 50}{5}$

Factor $5$ out of $50$ .

$\frac{5 \cdot (2 + 4 + 6 + 8) + 5 \cdot 10}{5}$

Factor $5$ out of $5 \cdot (2 + 4 + 6 + 8) + 5 (10)$ .

$\frac{5 \cdot (2 + 4 + 6 + 8 + 10)}{5}$

Cancel the common factors.

Factor $5$ out of $5$ .

$\frac{5 \cdot (2 + 4 + 6 + 8 + 10)}{5 (1)}$

Cancel the common factor.

$\frac{5 \cdot (2 + 4 + 6 + 8 + 10)}{5 \cdot 1}$

Rewrite the expression.

$\frac{2 + 4 + 6 + 8 + 10}{1}$

Divide $2 + 4 + 6 + 8 + 10$ by $1$ .

$2 + 4 + 6 + 8 + 10$

Step 3

Simplify by adding numbers.

Add $2$ and $4$ .

$6 + 6 + 8 + 10$

Add $6$ and $6$ .

$12 + 8 + 10$

Add $12$ and $8$ .

$20 + 10$

Add $20$ and $10$ .

$30$