The median of $7,8,9,10,11,12$ is

To determine the median, let's process the given dataset:Given data: $7,8,9,10,11,12$ Step 1: Arrange the dataset in ascending sequence (it is already ordered):
$$7,8,9,10,11,12$$
Step 2: Count the number of observations ($n$):
$$n=6(\text{which is an even number})$$
Step 3: For an even number of data elements, the median is calculated as the arithmetic average of the two middlemost numbers, which are at positions $\frac{n}{2}$ and $\left(\frac{n}{2}+1\right)$:
$$\text{Middle terms are the }{3}^{\text{rd}}\text{ term }(9)\text{ and the }{4}^{\text{th}}\text{ term }(10)$$
$$\text{Median}=\frac{9+10}{2}=\frac{19}{2}=9.5$$
Hence, the median value is $9.5$.