...
I got curious myself on what the numbers revealed and looked at the NIST numbers again.
I computed an empirical cdf and compared it to normal...statistics from the 20,036 observations are below:
I then compared to normal on the same plot and as outlined above N(mean,std) is too long-tailed on both ends in comparison. It turns out that N(mean,std/1.5) is pretty close on both tails to about the +/- 6 point.
Anyway, from the above it's simple enough to get some pretty good estimates of what pump volume errors one might expect...the table below is from the empirical cdf NIST data...
P error(in^3)/5Gal error(%)
0.001 -22 -1.82 0.005 -9 -0.78 0.010 -8 -0.69 0.025 -6 -0.52 0.050 -5 -0.43 0.250 -2 -0.17 0.500 0 0 0.750 2 0.17 0.900 4 0.34 0.950 5 0.43 0.975 6 0.52 0.990 7 0.60 0.995 10 0.86 0.999 22 1.82From the above, one can conclude the pump metering error small for all except the extreme outlier pumps.