standard deviation

I analyzed the regular-season standings for each of those teams by year since 19971 and translated each team’s winning percentage at the end of the regular season2 into a z-score to find how many standard deviations it was from the mean that season.

Only the 1988 and 1981 seasons ended with a smaller standard deviation of team Elo ratings than 1982 did — which, in turn, helped set an uncertain tone for 1983 that didn’t let up all season.

I translated each team’s winning percentage at the end of the regular season15 into a set of z-scores to find how many standard deviations a metropolitan area’s16 winning percentage was from the mean that season.

One quick way to measure how much parity baseball has seen this year — relative to the same stage of previous seasons — is to look at the standard deviation of winning percentages.

Our analysis shows that the standard deviation of Elo’s prediction errors drops steadily over the first five races of a season, then falls at a slower rate over the next few races before plateauing by midseason.

And against the first target the accuracy observed was about .7 mils, in standard deviation.

For each measurement, the coefficient of variation, standard deviation and probable error were computed.

This is the estimated standard deviation of population where the estimate is made from area.

This is called the index of variability or "standard deviation."