We construct the error distribution of Hubble constant ( H _ { 0 } ) measurements from Huchra ’ s compilation of 461 measurements of H _ { 0 } and the WMAP experiment central value H _ { 0 } = 71 km s ^ { -1 } Mpc ^ { -1 } . This error distribution is non-Gaussian , with significantly larger probability in the tails of the distribution than predicted by a Gaussian distribution . The 95.4 % confidence limits are 7.0 \sigma in terms of the quoted errors . It is remarkably well described by either a widened n = 2 Student ’ s t distribution or a widened double exponential distribution . These conclusions are unchanged if we use instead the central value H _ { 0 } = 67 km s ^ { -1 } Mpc ^ { -1 } found from a median statistics analysis of a major subset of H _ { 0 } measurements used here .