The Median
The Median is the middle score in a set of scores; the divides
the distributions of scores into two halves with equal numbers
of scores in each half. For example, the set of scores 2, 2, 3,
5, 7 has a median of 3 because two scores are above it and two
are below it. By convention, the median of the distribution
123, 154, 160, 187 is taken to be half way between the two
center values: Median = (154 + 160)/2 = 157, because there is no
exact "middle score" with an even number of scores.
There are other conventions that apply to the calculation of the
median, but they aren't of great importance if what we are aiming to do is
understand statistics and leave the calculations to machines.
Here's a machine that will calculate medians and several other
things for you:
An Online Stats Calculator
Try it out on a couple of examples:
- What is the median of 12.3 13.6 13.8 14.2 14.5 15.2 15.6 17.9 ?
- What is the median of 2 2 3 4 4 5 5 5 7 8 10 ?
- What is the median of 2 2 3 4 4 5 5 5 7 8 1598 ?
- What did you learn about the median in #3 above?
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