Monthly Science: Significant Figures vs. Accuracy vs. Precision, Marathon Edition

The rail trail recently sprouted white mile markers:

Rail Trail - Marathon 13 mile marker

Rail Trail – Marathon 13 mile marker

This one stood out:

Rail Trail - Marathon 13.10938 mile marker

Rail Trail – Marathon 13.10938 mile marker

Not being a marathoner, I had the vague notion a marathon should be an even number of kilometers, because it’s not an even number of miles, but nooooo it’s just an arbitrary distance everybody agreed would be about right for a good long run.

During the rest of the ride, I worked out that 1 micro mile = 5+ milli foot = 60+ milli inch, so the rightmost significant figure in that marker represents increments of, oh, a smidge under ¾ inch. Middle of the hash line marks the spot, perhaps?

I’ve seen similar markers along other courses, with varying numbers of ahem significant figures, and will not say how long it took me to recognize what it represented.

  1. #1 by sdean7855 on 2017-06-08 - 13:28

    One of Augustine’s Laws has it that the more right-of-the-decimal-point digits there are, the less accurate the measurement

    • #2 by Ed on 2017-06-08 - 15:44

      Measure with a micrometer, mark with chalk, cut with an axe: works for me.

      A few days later, I rode around a traffic cone planted just south of that marker, with a big “turn around here” swirl chalked on the pavement, evidently for a race from the Hopewell Junction end. I didn’t see five decimal places of accuracy in those chalk marks, no how, no way!