You're giving away the game here by building an argument around national IQ statistics, because there is no such thing. There are serious surveys of IQ test results in places like the United States, with some statistical validity. There is no equivalent global country-by-country survey that would enable you to compare the United States to India or any other country. The reason people believe there are is because there are multiple fraudulent studies that claim to provide those numbers, and people cite them without reading the underlying papers and seeing what they did to generate those numbers.