Find the median of :

233, 173, 189, 208, 194, 204, 194, 185, 200 and 220

On arranging the given set of data in ascending order, we get :

173, 185, 189, 194, 194, 200, 204, 208, 220, 233

Number of observations, n = 10 (even)

Median = $\dfrac{1}{2}\Big[\text{the value of} \Big(\dfrac{n}{2}\Big)^{th} + \text{the value of} \Big(\dfrac{n}{2} + 1\Big)^{th}\Big]$ term

= $\dfrac{1}{2}\Big[\text{the value of} \Big(\dfrac{10}{2}\Big)^{th} + \text{the value of} \Big(\dfrac{10}{2} + 1\Big)^{th}\Big]$ term

= $\dfrac{1}{2}\Big[\text{the value of} (5)^{th} + \text{the value of} (5 + 1)^{th}\Big]$ term

= $\dfrac{1}{2}\Big[194 + 200\Big]$

= $\dfrac{1}{2}\Big[394\Big]$

= 197

Hence, the median = 197.