Find the Mean |5| , |9-7| , |5-15| , |0| , |-3|

$| 5 |$ , $| 9 - 7 |$ , $| 5 - 15 |$ , $| 0 |$ , $| - 3 |$

Step 1

The absolute value is the distance between a number and zero. The distance between $0$ and $5$ is $5$ .

$5, | 9 - 7 |, | 5 - 15 |, | 0 |, | - 3 |$

Step 2

Subtract $7$ from $9$ .

$5, | 2 |, | 5 - 15 |, | 0 |, | - 3 |$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $2$ is $2$ .

$5, 2, | 5 - 15 |, | 0 |, | - 3 |$

Step 4

Subtract $15$ from $5$ .

$5, 2, | - 10 |, | 0 |, | - 3 |$

Step 5

The absolute value is the distance between a number and zero. The distance between $- 10$ and $0$ is $10$ .

$5, 2, 10, | 0 |, | - 3 |$

Step 6

The absolute value is the distance between a number and zero. The distance between $0$ and $0$ is $0$ .

$5, 2, 10, 0, | - 3 |$

Step 7

The absolute value is the distance between a number and zero. The distance between $- 3$ and $0$ is $3$ .

$5, 2, 10, 0, 3$

Step 8

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

$\frac{5 + 2 + 10 + 0 + 3}{5}$

Step 9

Simplify the numerator.

Add $5$ and $2$ .

$\frac{7 + 10 + 0 + 3}{5}$

Add $7$ and $10$ .

$\frac{17 + 0 + 3}{5}$

Add $17$ and $0$ .

$\frac{17 + 3}{5}$

Add $17$ and $3$ .

$\frac{20}{5}$

Step 10

Divide $20$ by $5$ .

$4$