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RideAnS [48]
3 years ago
13

The scores on a test are normally distributed. The mean of the test is 750 and the standard deviation is 70. By using the Empiri

cal rule, what scores fall 3 standard deviations from the mean?
a.610 and 820 b.610 and 960 c.680 and 820 d.540 and 960
Mathematics
1 answer:
melomori [17]3 years ago
5 0
I think it will be B 610 and 820 but im not sure.
Hope This Helps!
~Cupcake
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To get the answer, you need to think of it like a see-saw.
Both sides must equal the same relative to 33.5. For example, 32 is 1.5 away from 33.5 so you could say you have 1.5*4 (because theres 4 tubes with 32 sweets). If you were to do this for the whole table, it would look something like this:

(1.5*4)+(0.5*x)=(0.5*9)+(1.5*1)+(2.5*1)

This simplifies to:

6+0.5x=8.5
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x= \frac{2.5}{0.5}
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This method can sometimes be inefficient depending on how many values but is probably the simplest way to solve this problem.

hope this helps :)

(sorry the other way is kinda hard to explain possibly ask your teacher tomorrow)
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