Find the Median 37 , 0+4/5

$37$ , $0 + \frac{4}{5}$

Step 1

Arrange the terms in ascending order.

$0 + \frac{4}{5}, 37$

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.

$\frac{0 + \frac{4}{5} + 37}{2}$

Step 3

Remove parentheses.

$\frac{0 + \frac{4}{5} + 37}{2}$

Step 4

Simplify the numerator.

Add $0$ and $\frac{4}{5}$ .

$\frac{\frac{4}{5} + 37}{2}$

To write $37$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{\frac{4}{5} + 37 \cdot \frac{5}{5}}{2}$

Combine $37$ and $\frac{5}{5}$ .

$\frac{\frac{4}{5} + \frac{37 \cdot 5}{5}}{2}$

Combine the numerators over the common denominator.

$\frac{\frac{4 + 37 \cdot 5}{5}}{2}$

Simplify the numerator.

Multiply $37$ by $5$ .

$\frac{\frac{4 + 185}{5}}{2}$

Add $4$ and $185$ .

$\frac{\frac{189}{5}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{189}{5} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{189}{5} \cdot \frac{1}{2}$ .

Multiply $\frac{189}{5}$ by $\frac{1}{2}$ .

$\frac{189}{5 \cdot 2}$

Multiply $5$ by $2$ .

$\frac{189}{10}$

Step 7

Convert the median $\frac{189}{10}$ to decimal.

$18.9$