document.write( "Question 560139: check the data for outliers
\n" ); document.write( "4, 6, 12, 14, 18, 24, 30, 60\r
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\n" ); document.write( "B.The value 6 can be considered an outlier
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\n" ); document.write( "D.The value 24 can be considered an outlier \n" ); document.write( "

Algebra.Com's Answer #363719 by Edwin McCravy(20055) $\"\"$ $\"About$

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4, 6, 12, 14, 18, 24, 30, 60
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document.write( "To find any outliers:\r\n" );
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document.write( "1.  Find the first and third quartiles:\r\n" );
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document.write( "a.  The first quartile:\r\n" );
document.write( "There are 8 data values. 25% of 8 is 2.  Since that is a whole\r\n" );
document.write( "number, the first quartile is the mean of the 2nd and 3rd data values.\r\n" );
document.write( "So we average 6 and 12:  \r\n" );
document.write( " =  = 9\r\n" );
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document.write( "b. The third quartile:\r\n" );
document.write( "There are 8 data values. 75% of 8 is 6.  Since that is a whole\r\n" );
document.write( "number, the third quartile is the mean of the 6th and 7th data values.\r\n" );
document.write( "So we average 24 and 30:  \r\n" );
document.write( " =  = 27\r\n" );
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document.write( "2.  Find the IQR or interquartile range by subtracting them:\r\n" );
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document.write( "    27 - 9 = 18 = IQR\r\n" );
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document.write( "3. Calculate the \"fences\" \r\n" );
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document.write( "   a. Multiply the IQR by 1.5\r\n" );
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document.write( "      18×1.5 = 27\r\n" );
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document.write( "   b. Subtract 27 from the first quartile:\r\n" );
document.write( "      \r\n" );
document.write( "      9 - 27 = -18 = lower fence.\r\n" );
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document.write( "   c. Add 27 to the third quartile:\r\n" );
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document.write( "      27 + 27 = 54 = upper fence.\r\n" );
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document.write( "4. Outliers are any values that are below the lower fence or above\r\n" );
document.write( "   the upper fence.\r\n" );
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document.write( "There are no values below the lower fence.  There is one value\r\n" );
document.write( "above the upper fence, which is 60.\r\n" );
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document.write( "Therefore 60 is the only outlier.  \r\n" );
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document.write( "Answer:  C\r\n" );
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document.write( "Edwin

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