Median Statistics Example 2

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

Example 2

medium
Find the median of: 4, 9, 2, 7, 11, 6.

Solution

  1. 1
    Step 1: Arrange in order: 2, 4, 6, 7, 9, 11.
  2. 2
    Step 2: There are 6 values (even), so the median is the average of the 3rd and 4th values.
  3. 3
    Step 3: Median = 6+72=6.5\frac{6 + 7}{2} = 6.5.

Answer

6.56.5
When there is an even number of values, the median is the average of the two middle values. This ensures the median splits the ordered data into two equal halves.

About Median

The median is the middle value when all data points are arranged in order from smallest to largest. Half the values lie above it and half below. For an even number of values, the median is the average of the two middle values.

Learn more about Median →

More Median Examples

Example 1 easy

Find the median of: 12, 5, 8, 3, 15, 7, 10.

Example 3 easy

Find the median of: 20, 35, 15, 40, 25.

Example 4 medium

The ordered data set is 4, 7, 8, 9, 12, 14, 18. What is the median, and if 30 is added to the set, d

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