I. Use Chebyshev’s theorem to find what percent of the values will fall between 183 and 227 for a data set with a mean of 205 and standard deviation of 11.

Question

II. Use the Empirical Rule to find what two values 99.7% of the data will fall between for a data set with a mean of 297 and standard deviation of 18.

Answer 1

1. Z = (score-mean)/SD

Find the Z scores and apply your theorem.

2. 99.7% fall between Z scores of ± 3.

Use the equation above.

Answer 2

1. Z = (s-205)/11 = 205/11 = 18.63???
This one confuses me

2. I have no idea how to do this....

Please help!!

Answer 3

1. Z = (183-205)/11 = -22/11 = -2

Z = (227-205)/11 = ?

Apply the theorem.

2. 3 = (score-297)/18

-3 = (score-297)/18

Solve for each score.

Answer 4

okay so the first would be 0.75 correct?

the second one would be
3 = -16.46
-3 = -16.46

is this correct?