Stat Unit

Comparison of Mode, Median, and Mean

Distribution 1
1
2
3
3
?
Distribution 2
1
2
3
3
100

Below are the measures of central tendency computed for each distribution:

Distribution 1 Distribution 2
Mode 3.00 3.00
Median 2.50 3.00
Mean 2.25 21.80

Interestingly, the mode does not change from Distribution 1 to Distribution 2 -- despite the addition of a single large score -- confirming its rather crude nature. Likewise, the median changes very little -- from 2.5 to 3. But the mean or arithmetic average changes significantly -- confirming that the mean is sensitive to all scores in a distribution. In fact, the mean is literally pulled in the direction of the extreme score in Distribution 2. Let's demonstrate this with a graph.

 
 
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