800 SAT Math Scores: Male-Female Ratio is 2.22:1
The graph further shows that boys outperformed girls at all 23 math test scores between 580-800 (10 point intervals, with male-female ratios of 1.0 or above), and then for math test scores between 200 points and 570, girls outnumbered boys (male-female ratio below 1.0).
Further, the graph shows that the mean SAT math test score for high school boys was 534, and 35 points higher than the mean female SAT math test score of 499. And based on data here, the standard deviation of male math SAT test scores was 118 (variance of 13,924) compared to the standard deviation for females of 112 (variance of 12,544), for a Male-Female variance ratio of 1.11.
If we are trying to explain the over-representation of males in science, math and engineering departments at MIT and Harvard, especially if that group represents those who score 800 on the SAT math test, the explanation seems pretty clear, convincing and straightforward: males are over-represented by a factor of more 2:1 for SAT math test scores of 800 points.
Bottom Line: Can Larry Summers get his job back as president of Harvard, for saying basically the same thing?
"It does appear that on many, many different human attributes- height, weight, propensity for criminality, overall IQ, mathematical ability, scientific ability - there is relatively clear evidence that whatever the difference in means - which can be debated (MP: Actually for math SAT scores, there is no debate) - there is a difference in the standard deviation, and variability of a male and a female population."
Update: Adjusting for the fact that more girls than boys take the SAT (as suggested in the comments by Dr. T) makes my case even stronger, since 0.974% of boys scored 800 on the SAT math test vs. 0.386% of girls, for a ratio of 2.52 to 1 in favor of boys for perfect math test scores of 800, even greater than the 2:22 to 1 ratio for unadjusted scores (see graph above).