Answer: the median of the data set is 27 and the mean is 20.
Explanation:
1. Arrange the data set in ascending order: 4, 5, 27, 44.
2. Find the median:
- If the data set has an odd number of values, the median is the middle value. In this case, the median is 27.
- If the data set has an even number of values, the median is the average of the two middle values. Since this data set has an odd number of values, we only have one middle value.
3. Find the mean (also known as the average):
- Add up all the values: 4 + 5 + 27 + 44 = 80.
- Divide the sum by the total number of values, which is 4 in this case: 80 / 4 = 20.