document.write( "Question 153523: What is the range and the first and third quartiles of the data set?
\n" ); document.write( "14,16,12,15,22,18,16,10,12\r
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\n" ); document.write( "\n" ); document.write( "A. 22, 12, 17\r
\n" ); document.write( "\n" ); document.write( "B. 22, 15, 17\r
\n" ); document.write( "\n" ); document.write( "C. 12, 12, 17\r
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Algebra.Com's Answer #113051 by Edwin McCravy(20054) $\"\"$ $\"About$

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What is the range and the first and third quartiles of the data set?
\n" ); document.write( "14,16,12,15,22,18,16,10,12 \r
\n" ); document.write( "\n" ); document.write( "A. 22, 12, 17
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\n" ); document.write( "C. 12, 12, 17
\n" ); document.write( "D. 12, 12, 15\r
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document.write( "Arrange the data either from smallest to largest or largest\r\n" );
document.write( "to smallest, whichever you prefer.\r\n" );
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document.write( "The range is the largest number minus the smallest number.\r\n" );
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document.write( "The median (the 2nd quartile) of a set of data is either\r\n" );
document.write( "1. the middle data value if there is one (when there is an \r\n" );
document.write( "   odd number of data values)\r\n" );
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document.write( "or \r\n" );
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document.write( "2. the average of the middle two data numbers (when there is \r\n" );
document.write( "   an even number of data values.\r\n" );
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document.write( "The 1st quartile is the median of just the data values below\r\n" );
document.write( "the median of the entire data set.\r\n" );
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document.write( "The 3rd quartile is the median of just the data values above \r\n" );
document.write( "the median of the entire data set.\r\n" );
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document.write( "The range is the largest number minus the smallest number.\r\n" );
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document.write( "Range = 22-10 = 12\r\n" );
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document.write( "I'll arrange the data from smallest to largest.\r\n" );
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document.write( "10\r\n" );
document.write( "12\r\n" );
document.write( "12\r\n" );
document.write( "14\r\n" );
document.write( "15\r\n" );
document.write( "16\r\n" );
document.write( "16\r\n" );
document.write( "18\r\n" );
document.write( "22\r\n" );
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document.write( "The median is 15, the number right in the middle since there\r\n" );
document.write( "are an odd number of data values.\r\n" );
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document.write( "The numbers below 15 are\r\n" );
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document.write( "10\r\n" );
document.write( "12\r\n" );
document.write( "12\r\n" );
document.write( "14\r\n" );
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document.write( "The median is 12, the average of the two middle numbers, which\r\n" );
document.write( "happen to both be 12.  So the 1st quartile is 12.\r\n" );
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document.write( "The numbers above 15 are\r\n" );
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document.write( "16\r\n" );
document.write( "16\r\n" );
document.write( "18\r\n" );
document.write( "22\r\n" );
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document.write( "The median is 17, the average of the two middle numbers, which\r\n" );
document.write( "are 16 and 18.  . \r\n" );
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document.write( "So the answer is\r\n" );
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document.write( "range = 12, first quartile = 12, third quartile = 17.\r\n" );
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document.write( "That's choice C.\r\n" );
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document.write( "Edwin

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