root mean square

noun

, Mathematics.

1. the square root of the arithmetic mean of the squares of the numbers in a given set of numbers. : rms

root mean square

noun

1. the square root of the average of the squares of a set of numbers or quantities rms

   the root mean square of 1, 2, and 4 is √[(1² + 2² + 4²)/3] = √7

Word History and Origins

Origin of root mean square¹

First recorded in 1890–95

Example Sentences

"Our method considered distortions caused by the perspective between the water space and the image plane. Since the shape of the manatee is closer to an ellipse than a circle, we used AGK to best represent the manatee contour and estimate manatee density in the scene. This allows density map to be more accurate, in terms of mean absolute errors and root mean square error, than other alternatives in estimating manatees' numbers."

From Science Daily

Unlike a standard error, a root mean square error does not easily translate into a traditional statistical confidence interval for the vote count for an individual candidate or the vote differential between two candidates.

From Seattle Times

AUC, area under curve; Gini, Gini coefficient; RMSE, root mean square error.

From Nature

AUC, area under curve; Gini, Gini coefficient; RMSE, root mean square error.

From Nature