Intelligence cannot exhibit a Gaussian distribution, not unless you make certain assumptions about what intelligence is. Is the OP's definition of intelligence

Intelligence cannot exhibit a Gaussian distribution, not unless you make certain assumptions about what intelligence is. Is the OP's definition of intelligence limited to academic or intellectual intelligence? If so, that's the problem. There just isn't a single kind of intelligence. Nor is intellectual intelligence superior. It's just unique, like other forms of intelligence. Also, different people excel naturally in certain fields, or even when it comes to learning in certain fields, or learning through certain methods, such as through watching something happening, doing it practically, listening to an explanation, or even just reading about it, and so on. Because of this, I'm skeptical that there's even an element of randomness. There isn't, not when you take into account all of the life circumstances that shape individuals and their ability to cultivate and make proper use of their innate skills and abilities. Many people are hampered by society from ever discovering their true calling in life, so to speak, in various ways, whether it be bias towards intellectual intelligence, bias towards what suits the needs of our corporation-dominated society consumed by the need to work for money almost all the time just to survive, etc. In a work-orientated society that takes up the majority of people's time, stress them out, etc, most people never get the chance to discover their talents, to cultivate them, etc. Just a bit of unstructured rant, because it's early in the morning and I haven't yet had my coffee, but had to type this while it was still fresh. :/