Median Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Find the median of {3,7,1,9,5}\{3, 7, 1, 9, 5\}.

Solution

  1. 1
    Sort the data in ascending order: {1,3,5,7,9}\{1, 3, 5, 7, 9\}.
  2. 2
    Since n=5n = 5 (odd), the median is the middle value at position 5+12=3\frac{5+1}{2} = 3.
  3. 3
    The third value is 55.

Answer

Median=5\text{Median} = 5
For an odd number of data points, the median is the middle value after sorting. The median is robust against outliers, unlike the mean.

About Median

The median is the middle value of an ordered data set โ€” half of the values are above it and half are below it.

Learn more about Median โ†’

More Median Examples