Estimate systematic ranges using procedure from @jsw-fnal
Procedure from @jsw-fnal:
For each systematic, we have an "Up" and "Down" ratio for each search bin. For those ratios that are less than 1, take the reciprocal. Drop any that are exactly equal to 1 (because that indicates the systematic is "off" or ignored in that bin). Now we have a collection of numbers that are all strictly greater than 1. Subtract 1 from them. Take the logarithm. Find the mean and standard deviation of the resulting set of numbers. Now report exp(mean - std) and exp(mean + std) as the lower and upper ends of the range.
Procedure from @jsw-fnal: For each systematic, we have an "Up" and "Down" ratio for each search bin. For those ratios that are less than 1, take the reciprocal. Drop any that are exactly equal to 1 (because that indicates the systematic is "off" or ignored in that bin). Now we have a collection of numbers that are all strictly greater than 1. Subtract 1 from them. Take the logarithm. Find the mean and standard deviation of the resulting set of numbers. Now report exp(mean - std) and exp(mean + std) as the lower and upper ends of the range.