document.write( "Question 650449: what numbers can you use to get a mean of 83 and a median of 85? \n" ); document.write( "

Algebra.Com's Answer #407326 by MathLover1(20850) $\"\"$ $\"About$

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The Median is the \"middle number\" (in a sorted list of numbers). \r
\n" ); document.write( "\n" ); document.write( "if $\"x\"$ , $\"y\"$ , and $\"z\"$ numbers,and $\"x%3Cy%3Cz\"$ , median is $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( "since given $\"y=85\"$ , we know that\r
\n" ); document.write( "\n" ); document.write( " $\"x%3C85\"$
\n" ); document.write( " $\"z%3E85\"$ \r
\n" ); document.write( "\n" ); document.write( "given: a mean of $\"83\"$ \r
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\n" ); document.write( "\n" ); document.write( "so, $\"%28x%2By%2Bz%29%2F3=83\"$ ...use $\"y=85\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2B85%2Bz=249\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2Bz=249-85\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%2Bz=164\"$ ....since $\"z%3E85\"$ , let's take first greater number\r
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\n" ); document.write( "\n" ); document.write( "if $\"z=86\"$ , than $\"x=164-86=78\"$ \r
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\n" ); document.write( "\n" ); document.write( "so, your numbers are: $\"78\"$ , $\"85\"$ ,and $\"86\"$ \r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( " $\"78\"$ , $\"85\"$ ,and $\"86\"$ ..the \"middle number\" (in a sorted list of numbers)...so, it is $\"85\"$ \r
\n" ); document.write( "\n" ); document.write( "mean\r
\n" ); document.write( "\n" ); document.write( " $\"%28x%2By%2Bz%29%2F3=83\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%2878%2B85%2B86%29%2F3=83\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"249%2F3=83\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"83=83\"$ \r
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