If I remember correctly, the thread about Napoleon's height broke the record of messages a few years ago, to the point that the administrator had to call for reason.
My personal remembrance of the discussion was that Napoleon was above average when considering the height of conscripts, the most solid measure available. But that in a society with great disparity of height according to social level (i.e. quality and quantity of food) and regional population (eastern population, providing a large lot of officers, was taller than the southerners or westerners), Napoleon was clearly shorter than the officers and politics surrounding him.
The question is totally irrelevant toward history, and date back to the napoleonic period, when high-ranked persons were frequently praised as tall, handsome and with good manners, as mark of distinction. In opposition to the french leaders of popular root and very informal efficiency.
An example of this contrast is the excellent movie "Le Souper", opposing the aristocrat Talleyrand and the commoner Fouché on the destiny of France. The extract in the link sum up all.