Let's say that I go door to door from January 1 through January 19, signing people up as an experiment. My data set looks like this for the sign ups in the neighborhood, {3, 4, 4, 6, 3, 7, 3, 8, 7, 9, 10, 7, 10, 12, 8, 7, 9, 9, 8}, and this is a odd set of numbers.
Mean - 3, 3, 3, 4, 4, 6, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 10, 10, 12 represent a gradually increase of the data. 3+3+3+4+4+6+7+7+7+7+8+8+8+9+9+9+10+10+12=134, an 134÷19=7.1 sign ups per day on average over 19 days, from 01/01- 01/19.
Median - The formula for calculating the median of an odd set of numbers is M=(n+1/2)th, 19+1=20, 20÷2=10th, and the 10th number from the left is 7, so without the formula, the middle number by elimination of possibilities is 7, which is a short cut.
Mode - 7
Range - 9, because of 12-3.
I see that I outperformed my worst days on average, because some might declare that I'm judged by my worse day and that isn't true. I see that my four statics are from 7.1 to 9, even though my first 6 days were horrendous. The raw data surely is incomplete all by itself, but clients get service that comes with an analysis of raw data. The numbers aren't inflated at all, because the rule doesn't hurt the people here. Presenting the curve to a people is generally the synopsis after a great experiment.
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