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Mathematics 9 Online
OpenStudy (anonymous):

the mean of test scores is 500. the standard deviation is 100. what is the score cut off for the top 10% of scores?

OpenStudy (amistre64):

is it with normal distribution?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

there!

OpenStudy (amistre64):

lol.... thnx :)

OpenStudy (amistre64):

the top 10% are above the 90th percentile then right?

OpenStudy (anonymous):

so out of the choices 525, 628, 755 and 663, what would be the cutoff score

OpenStudy (anonymous):

yes, I think so.

OpenStudy (amistre64):

i wish I new our range ....

OpenStudy (anonymous):

they didn't give it.

OpenStudy (amistre64):

yeah..... gonna have ta try it out the long way lol

OpenStudy (amistre64):

i wanna say 663 but i cant be sure of that

OpenStudy (anonymous):

okay. how did you get what you think is the answer?

OpenStudy (amistre64):

the empirical rule is that 68% are within 1sd 95% are within 2sd and 98.7 is at 3sd 90% falls under between 600 and 700

OpenStudy (amistre64):

663 just feels to fit the bill better; but i cant say for certainity

OpenStudy (anonymous):

okay, thank you

OpenStudy (amistre64):

this might be late but i was bound to get a right answer for you :)

OpenStudy (amistre64):

the correct answer is 628; and why? I had to ask my stats teacher and he showed me how to use the z-table. We are looking for amount of area that is 90% under the normal distribution- (1-.1 = .9) teh z-table in my book measures from the mean itself so we have to -.5 to get the right numbers... .9-.5 = .4 i find the value that is closest to, but under .4

OpenStudy (amistre64):

that value is the intersection of '1.2' and '.08'. this is amount of 'deviation' we use to calculate with: 1.28(100) = 128 <- deviation from the mean ^^ ^^ ^^ our given 'sd' ^^ out z-table findings 500 + 128 = 628.

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