anonymous
  • anonymous
the verbal portion of the SAT exam has scores that are normally distributed. the mean of all the scores is 500 with a standard deviation of 10. i fyou scored 625 on the verbal SAT what percentage of all of those taking the test scored below you?
Mathematics
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schrodinger
  • schrodinger
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anonymous
  • anonymous
Are you sure the standard deviation is only 10? That's an incredibly narrow normal curve.
anonymous
  • anonymous
oops i mean 100
anonymous
  • anonymous
the verbal portion of the SAT exam has scores that are normally distributed. the mean of all the scores is 500 with a standard deviation of 100. i fyou scored 625 on the verbal SAT what percentage of all of those taking the test scored below you?

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anonymous
  • anonymous
Aha! 625 - 500 = 125, which is 1.25 standard deviations from the mean (i.e. the z-score is 1.25). Look up the normal table. Area from 0 to z is 0.3944. Area from 0 to -infinity is 0.5. Add the two together to get the area from -infinity to z=1.25 = 0.8944. So, 89.44% of students get less than 625.

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