Finite Math Examples

$43$ , $51$ , $11$ , $91$ , $76$ , $36$ , $64$ , $37$ , $42$ , $72$ , $53$ , $62$ , $36$ , $74$ , $51$ , $72$ , $37$ , $28$ , $38$ , $61$ , $48$ , $63$ , $36$ , $41$ , $22$ , $37$ , $51$ , $46$ , $85$ , $13$

Step 1

Arrange the terms in ascending order.

$11, 13, 22, 28, 36, 36, 36, 37, 37, 37, 38, 41, 42, 43, 46, 48, 51, 51, 51, 53, 61, 62, 63, 64, 72, 72, 74, 76, 85, 91$

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.

$\frac{46 + 48}{2}$

Step 3

Remove parentheses.

$\frac{46 + 48}{2}$

Step 4

Cancel the common factor of $46 + 48$ and $2$ .

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Step 4.1

Factor $2$ out of $46$ .

$\frac{2 \cdot 23 + 48}{2}$

Step 4.2

Factor $2$ out of $48$ .

$\frac{2 \cdot 23 + 2 \cdot 24}{2}$

Step 4.3

Factor $2$ out of $2 \cdot 23 + 2 \cdot 24$ .

$\frac{2 \cdot (23 + 24)}{2}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $2$ out of $2$ .

$\frac{2 \cdot (23 + 24)}{2 (1)}$

Step 4.4.2

Cancel the common factor.

$\frac{2 \cdot (23 + 24)}{2 \cdot 1}$

Step 4.4.3

Rewrite the expression.

$\frac{23 + 24}{1}$

Step 4.4.4

Divide $23 + 24$ by $1$ .

$23 + 24$

Step 5

Add $23$ and $24$ .

$47$

Step 6

Convert the median $47$ to decimal.

$47$