Probability density function of the variations in T_e at 500 pc (black) and 3 kpc (red), sampling scales across all galaxies in the sample. We performed this calculation around each H ii region, relative to the mean local value at each position. We required at least five H ii regions be located within the relevant sampling scale length to minimize biases due to low number statistics. Across all galaxies, we measure a standard deviation of ~500 K at 500 pc scales and ~800 K at 3 kpc scales. To test the null hypothesis, that all region temperatures are uncorrelated, we shuffled all values of T_e and repeated this calculation (dotted lines).