One number is 12 more than another number. If one half of the smaller number equals one third of the larger number, what is the
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Chebyshev's theorem says that the probability that a random variable differs from its mean by some multiple of the standard deviation is bounded below as
Solve for <em>k</em> :
Then the theorem says
which is to say that 88.9% of the data will fall in the interval
or roughly corresponding to scores between 7.076 and 7.924.