How to Find the Median?

How to find the median of a set of numbers?

Steps to Calculate Median

Median is the middle most value in the given set of values. Median is found by arranging the group of data in the ascending order.

To find the Median follow the steps given in the below image.
Formula
To calculate Median
If n(number of data) is odd, use (n + 1) / 2
If n(number of data) is even, use (n/2 + 1)

Let us consider an odd set of data
14, 4, 6, 51, 7, 25, 81, 3, 9, 68, 73

Step 1: Rearrange the given set of numbers in the ascending order.
3, 4, 6, 7, 9, 14, 25, 51, 68, 73, 81
n(number of data) = 11

Step 2: Middle most value is the median for the given set of data.
x = (n + 1) / 2
= (11 + 1) / 2
= 12/2
x = 6

Step 3: 6th value is the median for the group of data. Here 6th value is 14. So, 14 is the median for the given set of data.

Let us consider an even set of data.
51, 39, 7, 75, 19, 87, 32, 46
Step 1: Rearrange the given set of data in the ascending order.
7, 19, 32, 39, 46, 51, 75, 87
n (number of data) = 8
Step 2: Middle most value in the given set of data is 39 and 46.
x = (n/2 + 1)
=8/2+1
= 5
5th value is the median for the given set of data. So, 46 is the median for the given set of data.

Use our online Median calculator to find the median value for the huge set of values.

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