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In a digitized representation of audio signals, a uniform grid on amplitude values is used. Any amplitude is approximated by the nearest grid point. Audio

In a digitized representation of audio signals, a uniform grid on amplitude values is used. Any amplitude is approximated by the nearest grid point. Audio signal amplitudes nearest to a grid point are assumed to have a uniform distribution over the range of values nearest to that grid point. What is the standard deviation of the approximation error as a fraction of the grid interval?

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