Question

The average score on a standardized test is 500 points with a standard deviation of 50 points. If 2,000
students take the test at a local school, how many students do you expect to score between 450 and 550
points?

Answer 1

Notice how everything between 450 and 550 is within one standard deviation of the mean

Answer 2

So you can use the empirical rule here.

Answer 3

no idea what that is lol

Answer 4

the empirical rule states that 68% of the distribution lies within one standard deviation of the mean

Answer 5

Does that have a formula?

Answer 6

it's not really a formula since it's more like a concept

Answer 7

Oh, well how do i use it lol..

Answer 8

in this case, "the distribution" refers to every student (2000 of them)

So 68% of the distribution is...?

Answer 9

that would be 2000 x .68?

Answer 10

you got it

Answer 11

which is what

Answer 12

1360?

Answer 13

good, I'm getting that as well

Answer 14

so you expect about 1360 students to score between 450 and 550

Answer 15

oh cool thanks :D

Answer 16

np