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The grades on the last science exam had a mean of 89%. Assume the population of grades on science exams is known to be distributed normally, with a standard deviation of 14%. Approximately what percent of students earn a score between 75% and 89%?
Help please @jim_thompson5910 @amistre64 @Mertsj @SolomonZelman @iGreen @jdoe0001 @Nnesha @e.mccormick @Loser66 @Luigi0210 @ash2326 @surjithayer @KyanTheDoodle @oldrin.bataku @JoannaBlackwelder @Lady.Liv1776 ???
hmm, id have to know what your material has covered so far
and what you have to work the problem with
it feels to me like an empirical rule approximation tho ...
it is indeed, but im not sure how to use it
well, determine how many deviations are between the mean and your end points
what is our mean?
and what is our left end point?
with a standard deviation of 14%
so, the difference between them is: what is 89-75?
which is exactly 1 standard deviation to the left of the mean. right?
if we calculate the same with the other end point .. well, 89 to 89 is a difference of 0, so no standard deviations are to the right of the mean. what are your thoughts?
I didnt get it, can you elaborate more?
the only thing left to elaborate is what does the empirical rule state? it may be called something else in your material tho.
and do we have options to choose from?
68% will fall within the first standard deviation, 95%, the first two and 99.7 first three
the options are: 38.5% 15.7% 50% 34.1%
thats the rule yes, but it is better stated: within +- 1sd from the mean falls 68% of the data. 68/2 = 34 so 34% to the left (-1 sd), and 34% to the right (+1 sd) we know we are 1sd to the left, and 0 to the right ... what does that tell us?
I'm lost on this....
it as plain as i can make it, you will have to tell me where it is losing you at.
"within +- 1sd from the mean falls 68% of the data. 68/2 = 34 so 34% to the left (-1 sd), and 34% to the right (+1 sd) we know we are 1sd to the left, and 0 to the right ... what does that tell us?"
I dont know what "that tell us"
we determined how many standard deviations we are to the left of the mean, didnt we? 89-75 = ??
14 is the difference between the mean and the endpoint, and our standard deviation has a length of 14. what is 14/14?
so we are 1 sd to the left of the mean with that calculation. using the rule that you stated, or rather that i stated better: within +- 1sd from the mean falls 68% of the data. 68/2 = 34 so 34% to the left (-1 sd), and 34% to the right (+1 sd) we know we are 1sd to the left ... which gives us a value of ????
ohh ok I think I get it
the answer would be 34% of the students will get between 75 and 89
we are 0 to the right of the mean so there is nothing to concern ourselves with over on that side ... so all in all, what would you say the answer chould be?
thats what I would go with as well :)
got it right thanks