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.

$404.075$

Find the Median 46÷40 , 807

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