Finite Math Examples

$0.12$ , $\frac{5}{3}$ , $6$ , $- 5$ , $79$ , $0$ , $- \frac{5}{3}$ , $\frac{5}{3}$

Step 1

Arrange the terms in ascending order.

$- 5, - \frac{5}{3}, 0, 0.12, \frac{5}{3}, \frac{5}{3}, 6, 79$

Step 2

The median is the middle term in the arranged data set. In the case of an even number of terms, the median is the average of the two middle terms.

$\frac{0.12 + \frac{5}{3}}{2}$

Step 3

Remove parentheses.

$\frac{0.12 + \frac{5}{3}}{2}$

Step 4

Simplify the numerator.

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Step 4.1

To write $0.12$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{0.12 \cdot \frac{3}{3} + \frac{5}{3}}{2}$

Step 4.2

Combine $0.12$ and $\frac{3}{3}$ .

$\frac{\frac{0.12 \cdot 3}{3} + \frac{5}{3}}{2}$

Step 4.3

Combine the numerators over the common denominator.

$\frac{\frac{0.12 \cdot 3 + 5}{3}}{2}$

Step 4.4

Rewrite $\frac{0.12 \cdot 3 + 5}{3}$ in a factored form.

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Step 4.4.1

Multiply $0.12$ by $3$ .

$\frac{\frac{0.36 + 5}{3}}{2}$

Step 4.4.2

Add $0.36$ and $5$ .

$\frac{\frac{5.36}{3}}{2}$

Step 4.4.3

Divide $5.36$ by $3$ .

$\frac{1.78\overline{6}}{2}$

Step 5

Divide $1.78\overline{6}$ by $2$ .

$0.89\overline{3}$

Step 6

Convert the median $0.89\overline{3}$ to decimal.

$0.89\overline{3}$