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    $\begingroup$ Here is an example as to why the difference in the cumulative distribution functions (cdf's) is required rather than just using the mid-point of the histogram bar: stats.stackexchange.com/questions/12490/…. $\endgroup$ Commented Nov 17, 2018 at 15:06
  • $\begingroup$ Excellent and informed answer. $\endgroup$ Commented Nov 17, 2018 at 18:37