Definition of root mean square in US English:

root mean square


  • The square root of the arithmetic mean of the squares of a set of values, used as a measure of the typical magnitude of a set of numbers, regardless of their sign.

    • ‘The root mean square (similar to area under a curve) or power is then calculated for each of the frequency bands.’
    • ‘Whether the reader chooses to look at ratios of mean absolute errors or root mean square errors depends on his or her loss function.’
    • ‘The correlation coefficient between predicted and actual total crop machinery costs and root mean square error will be used to measure the relative predictive accuracy of the models.’
    • ‘The average absolute error and the root mean square error are measures of forecasting accuracy.’
    • ‘Then the square root of the sum was taken to form a root mean square error.’