say we have two sets with ranges of 10 and 20
we get the maximal range when the two ranges are as far as possible. Consider (0...10, R=10) and (100...120, R=20); R common=120
make the common R smaller (one common limit)
consider (0...10, R=10) and (10...30, R=20); R common=30
make it yet smaller (the ranges intesect)
consider (5...15, R=10) and (10...30, R=20); R common=25
make it the smallest (the larger consumes the smaller)
consider (12...22, R=10) and (10...30, R=20); R common=20
This is the minimal range. The common range of two ranges cannot be smaller than the larger one.
This is where i get in trouble... lets say we want to find the MAXIMAL range. I thought pick the lowest in one set and pick the highest in the other set...subtract and the result is the MAXIMAL range...
but turns out i get 320 and thats the minimal range..soooo confusing.
Could you please explain how to get the maximal range?
Does anyone have tough questions on statistics and probability , anyone?