The word 'mile' comes from the Latin word 'mille' meaning 'thousand', The Romans used the measure of 1000 double steps to measure that distance, which was equal to 1,618 yards. The Roman Mile was used in England up to the time of Elizabeth 1. The problem was that it couldn't be divided by the English units of measure, (rods, furlongs, etc.), without leaving fractions. So the English Mile was established at 1,760 yards by royal statute - thus, the Statute Mile.
The British Army uses a pace (single step) of 30". That would produce 2,112 paces in a mile. However, most people don't stride out like that, so the count is going to be higher - by how much will depend entirely upon the individual, and if they're in a hurry or not!
(Very curious fact...the perimeter of the Great Pyramid is 1,760 Royal Cubits, the same as the number of yards in a mile. Coincidence, or what?)