Find the Median 180 , 175 , 163 , 186 , 153 , 194 , 198 , 183 , 187 , 174 , 177 , 196 , 162 , 185 , 174 , 195 , 164 , 152 , 144 , 138 , 125 , 110

$180$ , $175$ , $163$ , $186$ , $153$ , $194$ , $198$ , $183$ , $187$ , $174$ , $177$ , $196$ , $162$ , $185$ , $174$ , $195$ , $164$ , $152$ , $144$ , $138$ , $125$ , $110$

Step 1

Arrange the terms in ascending order.

$110, 125, 138, 144, 152, 153, 162, 163, 164, 174, 174, 175, 177, 180, 183, 185, 186, 187, 194, 195, 196, 198$

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.

$\frac{174 + 175}{2}$

Step 3

Remove parentheses.

$\frac{174 + 175}{2}$

Step 4

Add $174$ and $175$ .

$\frac{349}{2}$

Step 5

Convert the median $\frac{349}{2}$ to decimal.

$174.5$

Find the Median 180 , 175 , 163 , 186 , 153 , 194 , 198 , 183 , 187 , 174 , 177 , 196 , 162 , 185 , 174 , 195 , 164 , 152 , 144 , 138 , 125 , 110

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