Multivalued measurands, such as spectral reflectance and tristimulus values, are usually analyzed by reducing the data to a single-valued parameter, such as color difference. The variations in sets of color differences are nonnormal distributed. This article compares five statistical methods to determine the 95% tolerance limit on nine data sets of color differences. (dagger)Published 2010 Wiley Periodicals, Inc. Col Res Appl, 36, 160 - 168, 2011; Published online 21 June 2010 in Wiley Online Library (wileyonlinelibrary.com). DOI 10.1002/col.20622