Find the Mean 5 , 10 , 15 , 20 , 25

$5$ , $10$ , $15$ , $20$ , $25$

Step 1

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

$\frac{5 + 10 + 15 + 20 + 25}{5}$

Step 2

Cancel the common factor of $5 + 10 + 15 + 20 + 25$ and $5$ .

Factor $5$ out of $5$ .

$\frac{5 \cdot 1 + 10 + 15 + 20 + 25}{5}$

Factor $5$ out of $10$ .

$\frac{5 \cdot 1 + 5 \cdot 2 + 15 + 20 + 25}{5}$

Factor $5$ out of $5 \cdot 1 + 5 \cdot 2$ .

$\frac{5 \cdot (1 + 2) + 15 + 20 + 25}{5}$

Factor $5$ out of $15$ .

$\frac{5 \cdot (1 + 2) + 5 \cdot 3 + 20 + 25}{5}$

Factor $5$ out of $5 \cdot (1 + 2) + 5 (3)$ .

$\frac{5 \cdot (1 + 2 + 3) + 20 + 25}{5}$

Factor $5$ out of $20$ .

$\frac{5 \cdot (1 + 2 + 3) + 5 \cdot 4 + 25}{5}$

Factor $5$ out of $5 \cdot (1 + 2 + 3) + 5 (4)$ .

$\frac{5 \cdot (1 + 2 + 3 + 4) + 25}{5}$

Factor $5$ out of $25$ .

$\frac{5 \cdot (1 + 2 + 3 + 4) + 5 \cdot 5}{5}$

Factor $5$ out of $5 \cdot (1 + 2 + 3 + 4) + 5 (5)$ .

$\frac{5 \cdot (1 + 2 + 3 + 4 + 5)}{5}$

Cancel the common factors.

Factor $5$ out of $5$ .

$\frac{5 \cdot (1 + 2 + 3 + 4 + 5)}{5 (1)}$

Cancel the common factor.

$\frac{5 \cdot (1 + 2 + 3 + 4 + 5)}{5 \cdot 1}$

Rewrite the expression.

$\frac{1 + 2 + 3 + 4 + 5}{1}$

Divide $1 + 2 + 3 + 4 + 5$ by $1$ .

$1 + 2 + 3 + 4 + 5$

Step 3

Simplify by adding numbers.

Add $1$ and $2$ .

$3 + 3 + 4 + 5$

Add $3$ and $3$ .

$6 + 4 + 5$

Add $6$ and $4$ .

$10 + 5$

Add $10$ and $5$ .

$15$