document.write( "Question 485381: Respected Sir / Mam ,
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document.write( "Please help me to solve this question. I will be very grateful for your help .
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document.write( "My question is
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document.write( "What is the value of the first quartile for observations 15,
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document.write( "18,10,20,23,28,12,16 ?
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document.write( "As the answer given is : 15.75
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document.write( "Please provide me the steps for this question.\r
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document.write( "Thank you
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document.write( "
Algebra.Com's Answer #331978 by Edwin McCravy(20056)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "The 1st quartile is the median of the numbers below the \r\n" ); document.write( "median of the whole data set.\r\n" ); document.write( "\r\n" ); document.write( "There is no way the answer could be 15.75. So you should point\r\n" ); document.write( "this out to your teacher. Very little educational material is\r\n" ); document.write( "free of typos. Where there are humans, there is usually some \r\n" ); document.write( "human error.\r\n" ); document.write( "\r\n" ); document.write( "Arrange the data in ascending order:\r\n" ); document.write( "\r\n" ); document.write( "10,12,15,16,18,20,23,28\r\n" ); document.write( "\r\n" ); document.write( "Find the median of the whole data set. Since there are an even \r\n" ); document.write( "number of numbers in the data set, the median is the average of \r\n" ); document.write( "its two middle numbers (16+18)÷2 = 34÷2 or 17.\r\n" ); document.write( "\r\n" ); document.write( "Next we find the median of the numbers below the median of the\r\n" ); document.write( "whole data set, 17. These numbers are 10,12,15,16. Since there \r\n" ); document.write( "are also an even number of numbers in this data set, the median\r\n" ); document.write( "is the average of its two middle numbers (12+15)÷2 = 27÷2 or 13.5.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |