document.write( "Question 1049296: A quantitative variable has 10 observations that have a median value of 15. The maximum of the 10 observations was recorded incorrectly and is changed from a value of 25 to a value of 30. The value of the new median is? \n" ); document.write( "
Algebra.Com's Answer #664874 by Theo(13342)\"\" \"About 
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i believe the median will be unchanged.\r
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\n" ); document.write( "\n" ); document.write( "the median is the middle term of the set of numbers after they have been ordered in ascending order from left to right.\r
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\n" ); document.write( "\n" ); document.write( "you have 10 observations.\r
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\n" ); document.write( "\n" ); document.write( "the middle term is (10 + 1)/2 = 11/2 = 5.5.\r
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\n" ); document.write( "\n" ); document.write( "the means the median is between the 5th and 6th term.\r
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\n" ); document.write( "\n" ); document.write( "the maximum value in the set of numbers has no bearing on the median.\r
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\n" ); document.write( "\n" ); document.write( "it will be the same regardless of the value of the max term.\r
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\n" ); document.write( "\n" ); document.write( "i created a set of data that has a maximum value of 25 with a median of 15.\r
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\n" ); document.write( "\n" ); document.write( "that set of data is:\r
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\n" ); document.write( "\n" ); document.write( "5, 6, 7, 8, 9, 21, 22, 23, 24, 25\r
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\n" ); document.write( "\n" ); document.write( "i used a median calculator to find the median.
\n" ); document.write( "the median was 15.\r
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\n" ); document.write( "\n" ); document.write( "i then changed the maximum value of the same data from 25 to 30 and used the median calculator again.
\n" ); document.write( "the median was 15.\r
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\n" ); document.write( "\n" ); document.write( "this is because the median tells you that 50% of the numbers are below that value and 50% of the numbers are above that value.\r
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\n" ); document.write( "\n" ); document.write( "the fact that the maximum value changed was irrelevant because 50% of the value were still above that same value.\r
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\n" ); document.write( "\n" ); document.write( "here's a good reference on how to calculate mean, median, mode, and range.\r
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\n" ); document.write( "\n" ); document.write( "http://www.purplemath.com/modules/meanmode.htm\r
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\n" ); document.write( "\n" ); document.write( "here are the result from the median calculator i used.\r
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