# Describing binned data?

Suppose you have some non-continuous data that you can bin, e.g. integer value test scores. So you go ahead and bin your data into bins of 100-90, 89-80, 79-70,...,9-0 and then you make a nice line plot over the medians of each bin e.g. over the A bin you'd put the median of the grades for values between 100-90.

Now what if you wanted to describe your binned data? Do you take the median of the binned medians? Or the median of the entire dataset?

• Why would you want to put your data into bins rather than keep them in a more-or-less continuous form? Most analyses and descriptions work much better with continuous variables. Do you really think that a score of 79 is substantially different from one of 80? That's what binning does.
– EdM
Mar 25, 2017 at 17:53
• @EdM test scores were not the best example, it was just to describe the concept of the question. Replace the example of test scores with whatever suites your preference. Mar 25, 2017 at 18:01
• Why would you want to bin any continuous variable? My comment was not specific to test scores. Advice on this website is almost uniformly against binning. If there is a particular situation where you think binning is helpful or necessary, please describe that in your question.
– EdM
Mar 25, 2017 at 18:19
• @EdM sorry, I should have specified that it was not continuous. Mar 25, 2017 at 18:26