Find the Median 178 , 142 , 112 , 150 , 206 , 130

$178$ ,

$142$ ,

$112$ ,

$150$ ,

$206$ ,

$130$

Step 1

Arrange the terms in ascending order.

$112, 130, 142, 150, 178, 206$

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.

$\frac{142 + 150}{2}$

Step 3

Remove parentheses.

$\frac{142 + 150}{2}$

Step 4

Cancel the common factor of

$142 + 150$ and

$2$ .

Factor

$2$ out of

$142$ .

$\frac{2 \cdot 71 + 150}{2}$

Factor

$2$ out of

$150$ .

$\frac{2 \cdot 71 + 2 \cdot 75}{2}$

Factor

$2$ out of

$2 \cdot 71 + 2 \cdot 75$ .

$\frac{2 \cdot (71 + 75)}{2}$

Cancel the common factors.

Factor

$2$ out of

$2$ .

$\frac{2 \cdot (71 + 75)}{2 (1)}$

Cancel the common factor.

$\frac{2 \cdot (71 + 75)}{2 \cdot 1}$

Rewrite the expression.

$\frac{71 + 75}{1}$

Divide

$71 + 75$ by

$1$ .

$71 + 75$

Step 5

Add

$71$ and

$75$ .

$146$

Step 6

Convert the median

$146$ to decimal.

$146$

Find the Median 178 , 142 , 112 , 150 , 206 , 130

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