Find the Median 34 , 51 , 47 , 26 , 31 , 38

$34$ ,

$51$ ,

$47$ ,

$26$ ,

$31$ ,

$38$

Step 1

Arrange the terms in ascending order.

$26, 31, 34, 38, 47, 51$

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.

$\frac{34 + 38}{2}$

Step 3

Remove parentheses.

$\frac{34 + 38}{2}$

Step 4

Cancel the common factor of

$34 + 38$ and

$2$ .

Factor

$2$ out of

$34$ .

$\frac{2 \cdot 17 + 38}{2}$

Factor

$2$ out of

$38$ .

$\frac{2 \cdot 17 + 2 \cdot 19}{2}$

Factor

$2$ out of

$2 \cdot 17 + 2 \cdot 19$ .

$\frac{2 \cdot (17 + 19)}{2}$

Cancel the common factors.

Factor

$2$ out of

$2$ .

$\frac{2 \cdot (17 + 19)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (17 + 19)}{2 \cdot 1}$

Rewrite the expression.

$\frac{17 + 19}{1}$

Divide

$17 + 19$ by

$1$ .

$17 + 19$

Step 5

Add

$17$ and

$19$ .

$36$

Step 6

Convert the median

$36$ to decimal.

$36$

Find the Median 34 , 51 , 47 , 26 , 31 , 38

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