SOLUTION: Use Chebyshev�s theorem to find what percent of the values will fall between 10 and 26 for a data set with mean of 18 and standard deviation of 2. Use the Empirical Rule to

Question 259167: Use Chebyshev�s theorem to find what percent of the values will
fall between 10 and 26 for a data set with mean of 18 and standard
deviation of 2.

Use the Empirical Rule to find what two values 99.7% of the data
will fall between for a data set with mean 0 and standard deviation
of 12.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Use Chebyshev�s theorem to find what percent of the values will
fall between 10 and 26 for a data set with mean of 18 and standard
deviation of 2.
---
10 is (10-18)/2 = -4 standard deviations to the left of the mean.
28 is (26-18)/2 = +4 standard deviations to the right of the mean.
---
Chebyshev says "at least [1-(1/4)^2] = 15/16 of the data lies in
that interval.
15/16 = 93.75%
----------------------------
Use the Empirical Rule to find what two values 99.7% of the data
will fall between for a data set with mean 0 and standard deviation
of 12.
If 1-(1/k)^2 = 0.997, solve for "k".
(1/k)^2 = 0.003
1/k = 0.05477...
k = 18.257 (number of standard deviations to the right and to the left of zero)
-------------
18.257*12 = 219.09
----
99.7% of the data is between -219.09 and +219.09
=============
Cheers,
Stan H.

RELATED QUESTIONS
Use Chebyshev�s theorem to find what percent of the values will fall between 175 and 241... (answered by oscargut)

I. Use Chebyshev�s theorem to find what percent of the values will fall between 249 (answered by stanbon)

Use Chebyshev�s theorem to find what percent of the values will fall between 226 and 340... (answered by ewatrrr)

Use Chebyshev�s theorem to find what percent of the values will fall between 59 and 107... (answered by stanbon)

Please show all of your work when answering the following: I. Use Chebyshev�s theorem (answered by ewatrrr)

2. Please show all of your work when answering the following: I. Use... (answered by stanbon)

Please show all of your work when answering the following: I. Use Chebyshev�s... (answered by Theo)

I am having a ton of trouble with this one please help... 1. Please show all of your... (answered by stanbon)

I am having issues with just this part of my course, can you help? Thank you. 1.... (answered by stanbon)