Online Calculators > Math Calculators > Median Calculator

Median Calculator

Median Calculator calculate the median value given a set of numbers. The median is calculated by picking the middle element of a sort set of data.

Online Median Calculator

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Median Calculator Results

Total Numbers 12
Median 17

Median Formula

Following is the median formula on how to calculate median of numbers.
1. Sort the data set
2. nth element = Total Count/2 round up.
3. If the total count is an odd number, the median will be the nth element. If the total count is an even number, the result will be the average of the nth element and (n+1)th element.
Example 1, the median of a sorted set {1, 5, 8, 9, 15, 35, 48}
1. nth element = 7/2 = 3.5 = 4
2. Since the total count is an odd number, the median is the 4th element.
3. The median is 9.

Example 2: to calculate the median of a sorted set {4, 8, 9, 10, 20, 30}
1. nth element = 6/2 = 3
2. Since the total count is an even number, the median is the average of nth and (n+1)th element which are the 3rd (9) and 4th (10) element.
3. The median is (9+10)/2 = 9.5


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