To find the median when the number of data points (n) is odd, arrange the data in ascending order and select the middle value as the median.
This can be found by taking the value of the (n+1)/2 term, where n is the number of observations.
The median of a dataset with an odd number of elements is the middle value when the data is arranged in ascending order.
Median Formula for Odd Number Set
The median can be found using the formula:
M = (n+1)/2
Finding the Median if n is Odd
When finding the median of a dataset with an odd number of elements, follow these steps:
- Arrange data in ascending order.
- Identify the middle element.
- Use the formula for median which is M = (n+1)/2 term.
Example: Find Median of 7, 6, 4, 8, 2, 5, 11.
Arrange in ascending order: 2, 4, 5, 6, 7, 8, 11.
Apply the formula: M = (7+1)/2 = 4th element = 6.
The median is the 4th element, which is 6.