Distributions of random variables - Duke University
the SAT and ACT. The distribution of SAT and ACT scores are both nearly normal. Suppose Ann scored 1800 on her SAT and Tom scored 24 on his ACT. Who performed better? We use the standard deviation as a guide. Ann is 1 standard deviation above average on the SAT: 1500 + 300 = 1800. Tom is 0.6 standard deviations above the mean on the ACT: 21 + 0 ... ................
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