Stanislav Duris

As I said in one of our meetings, my main goal in creating this question was to show students that two equal means don't mean two equal distributions and to play around with the fact that all measures of average can be misleading when interpreted incorrectly. I started another question as advised by Chris, Christian and Lauren about salaries (many poor people vs few very rich residents leads to false beliefs about average salary in the area) but I don't think I'll manage to get it done up to a point where someone else can finish it, so I think someone else just needs to start that question from the scratch. A histogram could be included in the Salaries question. I tried to play around with Geogebra so I could include graphs in my future questions, but I did not have time to finish this successfully, so someone else may need to do this to cover the GCSE statistics.

If this question isn't ready and someone needs to adjust this question - make sure that the interval in part c) always includes one square number only! The x variable makes sure the numbers increase in ascending order in the question, so don't confuse x1, x2, etc. with x[0], x[1],.. because these may not be the same and x[0], x[1],.. are the ones used in the question.