document.write( "Question 200329: Hello tutor I'm new to this site can you help me with this problem .\r
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document.write( "Select five random numbers between 70 and 100. Calculate the mean, median, mode, and midrange of these numbers. Based on your calculations, which measure of central tendency best represents these numbers?\r
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document.write( "so greatful. Melissa \n" );
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Algebra.Com's Answer #150616 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Here are the 5 Values: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "72, 70, 99, 71, 74\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Mean - Add up the values and divide the sum by 5:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the mean is 77.2\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Median: First sort the values\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "70, 71, 72, 74, 99\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We can see that the middle value is 72. So the median is 72.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Mode: There isn't a mode since there are no repeated values.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Midrange: Add up the smallest value and the largest value. Divide that sum by 2:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the mid-range is 84.5\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Notice how most of the data is clustered in the low 70's. So this means that the average value is in the low 70's. Since the median is 72 (which the closest value in the low seventies), this means that the median is the best measure in this case. Why? The extreme value 99 affects both the mean and midrange, but it doesn't affect the median. \n" ); document.write( " \n" ); document.write( " |