Find the Median 188 , 119 , 174 , 91 , 219 , 9 , 239 , 108 , 234 , 203 , 393 , 133 , 144 , 55

$188$ ,

$119$ ,

$174$ ,

$91$ ,

$219$ ,

$9$ ,

$239$ ,

$108$ ,

$234$ ,

$203$ ,

$393$ ,

$133$ ,

$144$ ,

$55$

Step 1

Arrange the terms in ascending order.

$9, 55, 91, 108, 119, 133, 144, 174, 188, 203, 219, 234, 239, 393$

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.

$\frac{144 + 174}{2}$

Step 3

Remove parentheses.

$\frac{144 + 174}{2}$

Step 4

Cancel the common factor of

$144 + 174$ and

$2$ .

Factor

$2$ out of

$144$ .

$\frac{2 \cdot 72 + 174}{2}$

Factor

$2$ out of

$174$ .

$\frac{2 \cdot 72 + 2 \cdot 87}{2}$

Factor

$2$ out of

$2 \cdot 72 + 2 \cdot 87$ .

$\frac{2 \cdot (72 + 87)}{2}$

Cancel the common factors.

Factor

$2$ out of

$2$ .

$\frac{2 \cdot (72 + 87)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (72 + 87)}{2 \cdot 1}$

Rewrite the expression.

$\frac{72 + 87}{1}$

Divide

$72 + 87$ by

$1$ .

$72 + 87$

Step 5

Add

$72$ and

$87$ .

$159$

Step 6

Convert the median

$159$ to decimal.

$159$

Find the Median 188 , 119 , 174 , 91 , 219 , 9 , 239 , 108 , 234 , 203 , 393 , 133 , 144 , 55

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