I need to have another look at it tomorrow, it's late here and honestly, I don't get really the message of your stats.
Maybe I will add more description for my topic.
At first, I wrote it shortly without detailed explanation on interquartile range and median, because those terms mentioned in my merit analysis for moths.
So, with this one, I splited it from my old topic, and simply focused on observation of the interquartile range and median changes over weeks.
In short, again, interquartile range represents for 50% of observed data points.
For instance, if you have 100 data points (100 days over weeks), the interquartile range will represents for 50 datapoints in the 'middle range', that ranges from the 25th quartile to the 75th quartile. Interquartile range has its role to exclude outliers, such as maximum, minimum and some extreme large and small data points closely with max and min.
In the same way, median represents nearly the true mean (average) of observed data. It is better than what we usually use, mean or average.
Both median and interquartile range exclude effects from outliers.
I hope that the post help you have clearer understanding on my topic's objectives.