1. A statistics estimation apparatus that calculates an estimated value of a statistic at the time of execution of a program, comprising: a data executer that executes a target program using a number of pieces of data smaller than a number of pieces of data intended to be executed, for each of the number of pieces of data, and calculates a partial process statistic of a processor which executes the partial processes of the program, for each of the numbers of pieces of data and each of partial processes constituting the program; a mathematical formula creator which creates a mathematical formula for calculating an overall statistic of the processor when a whole of the program is executed with the.number of pieces of data intended for execution, on the basis of the partial process statistic for each of the partial processes calculated by the data executer and the number of pieces of data when the partial process statistic is calculated; and a calculator which calculates an estimated statistic when the program is executed with the number of pieces of data intended for execution, on the basis of the mathematical formula created by the mathematical formula creation portion.