Median

In math and statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as “the middle” value.

 

Find the median for an odd set of numbers


Example question: Find the median for the following data set:
102, 56, 34, 99, 89, 101, 10.

Step 1: Sort your data from the smallest number to the highest number. For this example data set, the order is:
10, 34, 56, 89, 99, 101, 102.

Step 2: Find the number in the middle (where there are an equal number of data points above and below the number):
10, 34, 56, 89, 99, 101, 102.
The median is 89.

Find the median for an even set of numbers


Example question: Find the median for the following data set:
102, 56, 34, 99, 89, 101, 10, 54.

Step 1: Place the data in ascending order (smallest to highest).
10, 34, 54, 56, 89, 99, 101, 102.

Step 2: Find the TWO numbers in the middle (where there are an equal number of data points above and below the two middle numbers).
10, 34, 54, 56, 89, 99, 101, 102

Step 3: Add the two middle numbers and then divide by two, to get the average:

  • 56 + 89 = 145
  • 145 / 2 = 72.5.

The median is 72.5.

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