Question 896886
Test scores on a test have a mean of 108 and a standard deviation of 18. According to Chebyshev's Theorum, 84% of the scores lie between ____ and ____.
-------------------
Chebychev Formula::
At least (1-(1/n)^2)% of data lies within n standard deviations of the mean.
----
Solve (1 - (1/n)^2) = 0.84
-----
(1/n)^2 = 0.16
1/n = 0.4
n = 2.5 standard deviations
----
Ans:
Lower Limit:: 108-2.5*18 = 63
Upper Limit:: 108+2.5*18 = 153
====================
Cheers,
Stan H.
====================