In statistics the trimean, or Tukey's trimean, is a measure of a probability distribution's location defined as a weighted average of the distribution's median and its two quartiles: T M = Q 1 + 2 Q 2 + Q 3 4 {\displaystyle TM={\frac {Q_{1}+2Q_{2}+Q_{3}}{4}}} This is equivalent to the average of the median and the midhinge: T M = 1 2 {\displaystyle TM={\frac {1}{2}}\left} The foundations of the trimean were part of Arthur Bowley's teachings, and later popularized by statistician John Tukey in his 1977 book which has given its name to a set of techniques called exploratory data analysis. Wikipedia