Find the Median 46÷40 , 807

$46 \div 40$ , $807$

Step 1

Arrange the terms in ascending order.

$46 \div 40, 807$

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.

$\frac{46 \div 40 + 807}{2}$

Step 3

Reduce the expression by cancelling the common factors.

Remove parentheses.

$\frac{46 \div 40 + 807}{2}$

Cancel the common factor of $46$ and $40$ .

Factor $2$ out of $46$ .

$\frac{2 (23) \div 40 + 807}{2}$

Cancel the common factors.

Factor $2$ out of $40$ .

$\frac{2 \cdot 23 \div 2 \cdot 20 + 807}{2}$

Cancel the common factor.

$\frac{2 \cdot 23 \div 2 \cdot 20 + 807}{2}$

Rewrite the expression.

$\frac{\frac{23}{20} + 807}{2}$

Step 4

Simplify the numerator.

To write $807$ as a fraction with a common denominator, multiply by $\frac{20}{20}$ .

$\frac{\frac{23}{20} + 807 \cdot \frac{20}{20}}{2}$

Combine $807$ and $\frac{20}{20}$ .

$\frac{\frac{23}{20} + \frac{807 \cdot 20}{20}}{2}$

Combine the numerators over the common denominator.

$\frac{\frac{23 + 807 \cdot 20}{20}}{2}$

Simplify the numerator.

Multiply $807$ by $20$ .

$\frac{\frac{23 + 16140}{20}}{2}$

Add $23$ and $16140$ .

$\frac{\frac{16163}{20}}{2}$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{16163}{20} \cdot \frac{1}{2}$

Step 6

Multiply $\frac{16163}{20} \cdot \frac{1}{2}$ .

Multiply $\frac{16163}{20}$ by $\frac{1}{2}$ .

$\frac{16163}{20 \cdot 2}$

Multiply $20$ by $2$ .

$\frac{16163}{40}$

Step 7

Convert the median $\frac{16163}{40}$ to decimal.

$404.075$