document.write( "Question 329765: 
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document.write( "Find the mean for the following. Round to the nearest tenth.\r\n" );
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document.write( "Value Frequency   \r\n" );
document.write( "  9       3          \r\n" );
document.write( " 12       5         \r\n" );
document.write( " 15       1          \r\n" );
document.write( " 18       1         \r\n" );
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document.write( "must show work.
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Algebra.Com's Answer #236366 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Find the mean for the following. Round to the nearest tenth.\r\n" );
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document.write( "Value Frequency   \r\n" );
document.write( "  9       3          \r\n" );
document.write( " 12       5         \r\n" );
document.write( " 15       1          \r\n" );
document.write( " 18       1         \r\n" );
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document.write( "must show work.\r\n" );
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document.write( "What this means is the data is this set of ten values. The\r\n" );
document.write( "9 is listed 3 times, the 12 is listed 5 times, and the 15 and \r\n" );
document.write( "18 are listed just once each.  In other words, it means this:\r\n" );
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document.write( "   Value\r\n" );
document.write( "     9\r\n" );
document.write( "     9\r\n" );
document.write( "     9\r\n" );
document.write( "    12\r\n" );
document.write( "    12\r\n" );
document.write( "    12\r\n" );
document.write( "    12\r\n" );
document.write( "    12\r\n" );
document.write( "    15\r\n" );
document.write( "    18\r\n" );
document.write( "   ---\r\n" );
document.write( "10)120\r\n" );
document.write( "  ----\r\n" );
document.write( "    12 <--- the mean\r\n" );
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document.write( "So the 'mean', which is the ordinary average that you learned\r\n" );
document.write( "way back in elementary school, is 12.  The frequency is\r\n" );
document.write( "just a number to tell you how many of each value there are\r\n" );
document.write( "in the data set so you don't have to type the same number over\r\n" );
document.write( "and over in a column as in the above list. \r\n" );
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document.write( "So don't do it the above way, instead do it this way.  You'll get\r\n" );
document.write( "the same answer 12.  It's just a shortcut.  It's shorter to write it \r\n" );
document.write( "this way by adding to the above a column for \"Value x frequency\"\r\n" );
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document.write( "Value Frequency   Value x frequency\r\n" );
document.write( "  9       3          9x3 = 27\r\n" );
document.write( " 12       5         12x5 = 60\r\n" );
document.write( " 15       1         15x1 = 15 \r\n" );
document.write( " 18       1         18x1 = 18\r\n" );
document.write( "       ----------------------\r\n" );
document.write( "         10               120\r\n" );
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document.write( "Then you add the frequencies and that tells you how many values\r\n" );
document.write( "are in the data set and the sum of the last column is the sum of all of\r\n" );
document.write( "them.\r\n" );
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document.write( "And then you divide as in the first way: \r\n" );
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document.write( "   \r\n" );
document.write( "    12\r\n" );
document.write( "10)120               \r\n" );
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document.write( "Either way you get the same mean 12.  But do in the second way,\r\n" );
document.write( "for that's what you're learning.  \"Frequency\" just means how frequently\r\n" );
document.write( "you find that number in the data set.\r\n" );
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document.write( "Edwin
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