Q.If the Arithmetic Mean is 75 and the Median is 70, then find the Mode.

For a perfectly symmetrical distribution, mean, median and mode are all equal. For a moderately skewed (asymmetrical) distribution — the common case in real economic data — Karl Pearson's empirical relationship, $Mode = 3\,Median - 2\,Mean$, connects the three closely enough to estimate any one of them from the other two. This is a genuine approximation, not an exact identity, and should be read as such rather than as a substitute for direct computation when the raw data is actually available. Choosing which average to actually u …