Finite Math Examples

$270$ , $274$ , $280$ , $280$ , $292$ , $300$ , $304$ , $312$

Step 1

Arrange the terms in ascending order.

$270, 274, 280, 280, 292, 300, 304, 312$

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.

$\frac{280 + 292}{2}$

Step 3

Remove parentheses.

$\frac{280 + 292}{2}$

Step 4

Cancel the common factor of $280 + 292$ and $2$ .

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Step 4.1

Factor $2$ out of $280$ .

$\frac{2 \cdot 140 + 292}{2}$

Step 4.2

Factor $2$ out of $292$ .

$\frac{2 \cdot 140 + 2 \cdot 146}{2}$

Step 4.3

Factor $2$ out of $2 \cdot 140 + 2 \cdot 146$ .

$\frac{2 \cdot (140 + 146)}{2}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $2$ out of $2$ .

$\frac{2 \cdot (140 + 146)}{2 (1)}$

Step 4.4.2

Cancel the common factor.

$\frac{2 \cdot (140 + 146)}{2 \cdot 1}$

Step 4.4.3

Rewrite the expression.

$\frac{140 + 146}{1}$

Step 4.4.4

Divide $140 + 146$ by $1$ .

$140 + 146$

Step 5

Add $140$ and $146$ .

$286$

Step 6

Convert the median $286$ to decimal.

$286$