Entropy = 7.999999 bits per byte. Optimum compression would reduce the size of this 250000000 byte file by 0 percent. Chi square distribution for 250000000 samples is 252.62, and randomly would exceed this value 53.04 percent of the times. Arithmetic mean value of data bytes is 127.5057 (127.5 = random). Monte Carlo value for Pi is 3.141542642 (error 0.00 percent). Serial correlation coefficient is 0.000026 (totally uncorrelated = 0.0).