Median Statistics Example 1

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

Example 1

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

Solution

  1. 1
    Step 1: Arrange in order: 3, 5, 7, 8, 10, 12, 15.
  2. 2
    Step 2: There are 7 values (odd), so the median is the middle value at position 7+12=4\frac{7+1}{2} = 4.
  3. 3
    Step 3: The 4th value is 8.

Answer

88
The median is the middle value when data is arranged in order. For an odd number of values, it is the single central value. The median is resistant to outliers, unlike the mean.

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 2 medium

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

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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