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I couldn't find anything that breaks down average height by state, but it stands to reason that states with the lowest percentile of folks from northern European stock (world's naturally tallest folks) and highest percentile of ethnic groups shorter than the world average would be shorter in general. Texas is one of four minority/majority states - less than 50 percent of Texans are white, Non Hispanic folks and Hispanics from Central America are significantly shorter than the world average and European averages as well.