What is the median of the following data?
76, 35, 42, 49, 95, 21, 68, 41, 20, 27, 17

The correct answer is 41.

Step 1: Understand what median means
The median of a dataset is the middle value when the data points are arranged in ascending order (from smallest to largest). If the total number of data points ($n$) is odd, the median is the single central value.

Step 2: List the given data points
The dataset provided is:
76, 35, 42, 49, 95, 21, 68, 41, 20, 27, 17

Step 3: Count the total number of values
Counting the values in the dataset, we find:
$n=11$

Since 11 is an odd number, the median will be the value at the ${\left(\frac{n+1}{2}\right)}^{\text{th}}$ position after sorting.

Step 4: Arrange the numbers in ascending order
Sorting the numbers from smallest to largest:
1) 17
2) 20
3) 21
4) 27
5) 35
6) 41
7) 42
8) 49
9) 68
10) 76
11) 95

Step 5: Find the middle value
The position of the median is:
$\text{Position}=\frac{11+1}{2}=\frac{12}{2}=6\text{th position}$

Looking at the 6th number in our sorted list:
17, 20, 21, 27, 35, 41, 42, 49, 68, 76, 95

The 6th value is 41. Therefore, the median of the given data is 41.