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Mathematics 21 Online
OpenStudy (anonymous):

On a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. what percentile is a 74?

OpenStudy (shadowfiend):

(Going to leave the question above open for answers.)

OpenStudy (anonymous):

you don't know how to solve this?

OpenStudy (shadowfiend):

I don't remember the details of statistics, I'm afraid. It's 1.8 standard deviations away from the mean, which means it's between the 84th and 97th percentile or so.

OpenStudy (shadowfiend):

Actually, sorry, I think that's about the 95th percentile.

OpenStudy (anonymous):

don't i do the mean minus 4 standard deviation because percentile means go to the left?

OpenStudy (shadowfiend):

Well, they're asking (I think), if you got a 74 on the test, what percentile is that. So 74 - 64.3 = 9.7 which is about 1.8 * 5.4, which means we're about 1.8 standard deviations away from the mean.

OpenStudy (anonymous):

i believe its 64.3-4(5.4) and whatever that equals than plug that into the calculator in normal cdf?

OpenStudy (anonymous):

i got 50th percentile does that sound right?

OpenStudy (shadowfiend):

I'm... Not sure what math you're doing. Where does the 74 come into play?

OpenStudy (anonymous):

i dont know ill look at my notes later for this one..cann you go back to the one with the x and the fractions please

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