Well, CLT does guarantee that most means will follow a gaussian distribution if you repeatedly sample from the same distribution. Also, if you're relying on a s

Well, CLT does guarantee that most means will follow a gaussian distribution if you repeatedly sample from the same distribution. Also, if you're relying on a single statistic to characterize a distribution, you've got another thing coming buddy. ;) Always report first and second moments, range and/or outliers. Histograms are even better tho binning is tricky. You're right to fear distortion, but changing your one statistic isn't gonna save you.