Problem with average in practice.Prasanth Chandra Mahalanobis, a name connected with the subject Statistics must be known to most of the learned people. He was the man behind introducing this as a separate subject in our country. Himself a physicist, went to UK for higher studies in that subject. After finishing Master's in Physics returned to India with a few copies of a Statistical journal (Biometrika). Reading those copies of journals he developed interest in this subject and started with a small department for this in his own Physics lab of Calcutta University. This gradually developed, with international relations, and got established as Indian Statistical Institute, which is now one of the topmost institutes in the world.
About Mahalanobis there are certain comments generally spread. When a student's hostel was started at ISI cots were made for each room. Naturally the size of the cots were to be decided. It is 'alleged' that, being a Statistician he took the average height of students and decided the length of cot ! One can imagine what would have been the result.