Find the Median 462 , 140/46

$462$ ,

$\frac{140}{46}$

Step 1

Arrange the terms in ascending order.

$\frac{140}{46}, 462$

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.

$\frac{\frac{140}{46} + 462}{2}$

Step 3

Remove parentheses.

$\frac{\frac{140}{46} + 462}{2}$

Step 4

Cancel the common factor of

$140$ and

$46$ .

Factor

$2$ out of

$140$ .

$\frac{\frac{2 (70)}{46} + 462}{2}$

Cancel the common factors.

Factor

$2$ out of

$46$ .

$\frac{\frac{2 \cdot 70}{2 \cdot 23} + 462}{2}$

Cancel the common factor.

$\frac{\frac{2 \cdot 70}{2 \cdot 23} + 462}{2}$

Rewrite the expression.

$\frac{\frac{70}{23} + 462}{2}$

Step 5

Cancel the common factor of

$\frac{70}{23} + 462$ and

$2$ .

Factor

$2$ out of

$\frac{70}{23}$ .

$\frac{2 (\frac{35}{23}) + 462}{2}$

Factor

$2$ out of

$462$ .

$\frac{2 (\frac{35}{23}) + 2 \cdot 231}{2}$

Factor

$2$ out of

$2 (\frac{35}{23}) + 2 \cdot 231$ .

$\frac{2 (\frac{35}{23} + 231)}{2}$

Cancel the common factors.

Factor

$2$ out of

$2$ .

$\frac{2 (\frac{35}{23} + 231)}{2 (1)}$

Cancel the common factor.

$\frac{2 (\frac{35}{23} + 231)}{2 \cdot 1}$

Rewrite the expression.

$\frac{\frac{35}{23} + 231}{1}$

Divide

$\frac{35}{23} + 231$ by

$1$ .

$\frac{35}{23} + 231$

Step 6

To write

$231$ as a fraction with a common denominator, multiply by

$\frac{23}{23}$ .

$\frac{35}{23} + 231 \cdot \frac{23}{23}$

Step 7

Combine

$231$ and

$\frac{23}{23}$ .

$\frac{35}{23} + \frac{231 \cdot 23}{23}$

Step 8

Combine the numerators over the common denominator.

$\frac{35 + 231 \cdot 23}{23}$

Step 9

Simplify the numerator.

Multiply

$231$ by

$23$ .

$\frac{35 + 5313}{23}$

Add

$35$ and

$5313$ .

$\frac{5348}{23}$

Step 10

Convert the median

$\frac{5348}{23}$ to decimal.

$232.52173913$

Find the Median 462 , 140/46

Related Questions