How can I tell if the majority of my data is either above or below my average?
8 8 7 5 4 9 8 9 9 11 13 AVG = 8.272727273 MEDIAN = 8 PERCENTILE 0.5 = 8
If my average is high compared to the rest of the data... then I will use percentile 0.4 as my cutoff so that I get a better representation of the data. But if my average is low compared to the rest of the data, then I will use a cutoff of percentile 0.6 to get a better representation of the data.
Is there a better way than comparing the median to the average? Should I be using something like a confidence interval instead or some kind of distribution?
At the end of my process I am running a pearson against the average, but in the scenario below there's a lot of good data to the right of the average so i would use the 0.6 instead of the average