Is your multi-media worksheet answers list giving you too many Medians and Centroids? You know that you want to see those values but that it is taking forever to find them. They are not showing up anywhere. So the question is, why is that?

An Average equals the median. So what? It does mean something. Median gives us average. Average also gives us centroids and it means something.

Centroids and Medians are two forms of ‘average’. You can find them both on a worksheet answer. The next question to ask is how do I know if they mean the same thing? Or is there a difference?

Centroids are from percentile. The percentiles come from the median. You see, the percentages of all the answers in a worksheet are divided by the square root of the number of answers. In other words, the median is less than or equal to the 50% percentile.

What this means is that, if you divide the answers by the square root of the number of answers, then you will get the answers. Because the answers are in the denominator, and the answers are divided by the square root of the number of answers, they must be decimal numbers. Also, each answer can have a different percent. If one percent is less than the other percent, then the answer must be in the percent of the lower percent.

When one percent is greater than the other percent, then the answer must be greater than the zero percent. So you can think of a zero percent as equal to 0. So, how do you get rid of the ambiguity and get one to mean exactly what you want it to mean? You use decimals only. The sum of all the decimals is equal to one.

So, let’s say the answer was, “0.5” This means, “the percent of the answer is less than the percent of the answer.” “The percent of the answer is greater than the zero percent.” So the answer was, “2” which is correct, it was, “5”.

Using decimals only, you have one to refer to, not two. So, you can easily eliminate medians and centroids from your worksheet answers list.