Colloquially, a statistic may be described as “biased” if it misrepresents whatever it’s intended to represent, whether or not it was more likely a priori to err in one direction or another. (This type of “bias” is often larger for estimates made from small samples.) explain how this usage of “bias” differs from statisticians’ use of the same term. Make the explanation suitable for a friend or relative who’s never taken a statistics class, and include one or two made-up examples to illustrate the difference."
For my understanding I think the common sense bias is a general notion while the statistical bias is a quantity (i.e. estimator). Is it right? However, I am not sure if it is the case for all kinds of statistical bias.