Rapid assessment of average ratios: application to turnover studies

The calculation of a set of ratios from two sets of paired experimental data is a common practice. The ratio of the averages of two sets is in general not equal to the average of the ratios of individual pairs, and there is no predictable relation if both sets of data are unspecified real numbers. However, we prove here that the ratio of averages is the minimum bound for the average of ratios if the numerators of each ratio are identical. This is the practice for many steady-state turnover experiments, and thus summary data can be reliably utilized in this case.