This is not true. Dance programs are extremely small and one can join by audition only. The U of MN only has about 10 dance majors per year. In contrast they graduate about 100 math majors per year. I know this because I'm from MN and majored in math, and my girlfriend majored in dance. You can verify actual stats on the U of MN website somewhere.
We have more art and history museums than we have science and engineering museums
This is also incorrect, there are 140 art museums in the US and over 400 science "museums" , if you count the following as museums: planetariums, kid's science centers, imaginariums, aquariums and the like. I know this cuz I once worked at a company that sold software installations to both art museums and science museums. (Not really a great business to be in with few potential customers and loads of competition). You can probably verify the numbers with data from Wikipedia.