Exam Speed and Difficulty Analysis

Note on the analysis above:

Speed Percentile = (Slower Than Me + Equal To Me) / (Slower Than Me + Equal To Me + Faster Than Me)
Difficulty Percentile = (Easier Than Me + Equal To Me) / (Easier Than Me + Equal To Me + Harder Than Me)

The above (far) graph is constructed in such a way that the annotated percentiles shown with circles are the complement of the percentiles in red table, ie: percentile in red table = (1 - percentile in graph). This ensures the graph maintains the familiar standard cumulative distribution look while the percentiles in the red table remain intuitive- ie. higher percentile meaning faster exam progress and vice versa.

Note that the 'Equal To Me' column does not include the person in question, therefore the total number of people included in each category can be calculated as the sum of the three columns plus one. The 'X / Y' ranking shown in the headers of the red and blue tables are the highest ranking categories (by percentile) achieved by that individual.

The above (near graph) compares individual travel times to the average travel times on the date of the first exam pass. Each line represents the average travel time for all exam takers who passed their first exam on the given date along the x-axis. This graph necessarily slopes downward since the completion of a set of exams that started more recently must necessarily have occured within within a shorter timespan than exams started earlier. Over time, the left portion of the graph will reveal if travel times are changing over time - if they are not, then that portion of the graph should remain flat.