<PRE><B>Question 1025448</B>
Chebyshev&#39;s theorem states that in general for any distribution, 

{{{P(abs(X - mu)&lt;=k*sigma)&gt;=1-1/k^2}}}.

==&gt; {{{P(abs(X - mu)&lt;=3*sigma)&gt;=1-1/3^2 = 1-1/9 = 8/9}}}, or AT LEAST 88.9% are within 3 standard deviations of the mean.

{{{abs(X - 163)&lt;=3*8 = 24}}} ==&gt; {{{-24 &lt;= X - 163 &lt;=24}}}

==&gt; {{{139 &lt;= X &lt;= 187}}}

==&gt; the minimum and maximum heights that are within 3 standard deviations of the&amp;#8203; mean are 139 and 187, respectively.

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