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The researchers analyzed medical literature and found 17 studies examining up to 15,521 males and their respective penis size, hoping to create a nomogram of male penis size measurements across all ages and races. The researchers averaged out the numbers, finding that the average length of a flaccid penis was centimeters ( inches), a flaccid stretched penis was cm ( in), and an erect penis was cm ( in). The average circumference of a flaccid penis was cm ( in), and that of an erect one was cm ( in).
The first recorded time that the arithmetic mean was extended from 2 to n cases for the use of estimation was in the sixteenth century. From the late sixteenth century onwards, it gradually became a common method to use for reducing errors of measurement in various areas.   At the time, astronomers wanted to know a real value from noisy measurement, such as the position of a planet or the diameter of the moon. Using the mean of several measured values, scientists assumed that the errors add up to a relatively small number when compared to the total of all measured values. The method of taking the mean for reducing observation errors was indeed mainly developed in astronomy.   A possible precursor to the arithmetic mean is the mid-range (the mean of the two extreme values), used for example in Arabian astronomy of the ninth to eleventh centuries, but also in metallurgy and navigation.