In large samples the error bars for the median are sqrt(pi/2) times the error bars for the mean if the underlying distribution is normal (the link gives more ge

In large samples the error bars for the median are sqrt(pi/2) times the error bars for the mean if the underlying distribution is normal (the link gives more general results, but that helps give some intuitions about being directly comparable) https://en.wikipedia.org/wiki/Median#Sampling_distribution https://en.wikipedia.org/wiki/Median#Sampling_distribution