Create a C++ console applications to compile the following statistics on a list of integers:
variance (of a discrete random variable);
standard deviation (of a finite population);
mode (including multi-modal lists).
frequency distribution (fixed to 10 evenly distributed intervals);
Quintile population means
outlier report (displays the number of outliers greater/less than 2 and 3 standard deviations away from the mean);
Your program must handle any length of list. The list will be piped in from the command line and terminated with end-of-stream (^Z)