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What percentage of women scored higher than the male mean?

The average performance of women on the SAT, especially the math part, is lower than that of men. The reasons for this gender gap are controversial. In 2007, college-bound senior women's scores on the SAT Math test followed a normal distribution with mean 499and standard deviation 110. The mean for men was 533. What percentage of women scored higher than the male mean?

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  • David
    Lv 7
    1 decade ago
    Favorite Answer

    (533-499)/110=0.30909090909090909090909090909091

    P(z=.3091) = 0.62137727

    P(x>533) = 1 - 0.62137727

    P(x>533) = 0.37862273

    37.86%

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