Median Math Example 2

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Example 2

medium
Find the median of {12,4,7,19,3,15}\{12, 4, 7, 19, 3, 15\}.

Solution

  1. 1
    Sort the data: {3,4,7,12,15,19}\{3, 4, 7, 12, 15, 19\}.
  2. 2
    Since n=6n = 6 (even), the median is the average of the 3rd3^{\text{rd}} and 4th4^{\text{th}} values.
  3. 3
    Median =7+122=192=9.5= \frac{7 + 12}{2} = \frac{19}{2} = 9.5.

Answer

Median=9.5\text{Median} = 9.5
When the data set has an even number of values, the median is the average of the two middle values. This ensures the median always splits the data into two equal halves.

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