A boy recorded the weights of some of his friends as $32\text{ kg}$, $30\text{ kg}$, $40\text{ kg}$, $65\text{ kg}$, $54\text{ kg}$, $38\text{ kg}$, $36\text{ kg}$, $45\text{ kg}$, $50\text{ kg}$, $52\text{ kg}$, and $40\text{ kg}$. What is the median?

First, arrange the given dataset in ascending order:
$$30,32,36,38,40,40,45,50,52,54,65$$

Count the number of observations ($n$):

$$n=11$$

Since $n$ is an odd number, the median is the value at the $\left(\frac{n+1}{2}\right)\text{-th}$ position:

$$\text{Median Position}=\frac{11+1}{2}=6\text{-th position}$$

Looking at our sorted list, the $6\text{-th}$ term is $40\text{ kg}$.