document.write( "Question 394383: The mathematics department at a community college collected data for the number of students enrolled in 40 math courses over the course of one year. The following stem-and-leaf display shows the total number of students enrolled in each class. \r
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document.write( " Class Size Totals
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document.write( " 12|667
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document.write( " 11|89
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document.write( " 10|0257
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document.write( " 9|1357
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document.write( " 8|00377
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document.write( " 7|257
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document.write( " 6|22359
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document.write( " 5|3389
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document.write( " 4|23366
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document.write( " 3|66789\r
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document.write( " Key:
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document.write( " 10| 5 = 105 students
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document.write( "I am completly lost on how to do this type of problem. Step by step advice on how to solve this is greatly appreciated. \n" );
document.write( "
Algebra.Com's Answer #279850 by Edwin McCravy(20060)![]() ![]() You can put this solution on YOUR website! The mathematics department at a community college collected data for the number of students enrolled in 40 math courses over the course of one year. The following stem-and-leaf display shows the total number of students enrolled in each class. \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "A stem-and-leaf is an abbreviation for a list of numbers, where they put\r\n" ); document.write( "only the last digit of each number on the right of the \"|\" and put\r\n" ); document.write( "all the digits but the last one of each number to the left of the |.\r\n" ); document.write( "\r\n" ); document.write( "So the first line stands for the three numbers 126, 126, 127.\r\n" ); document.write( "Since all three of those number begin with the digits \"12\", as a\r\n" ); document.write( "short cut they put just one \"12\" before the | and then they put the\r\n" ); document.write( "last digit of each number to the right of the |. Notice that the \"667\"\r\n" ); document.write( "to the right of the | does NOT mean \"six hundred sixty-seven\", although\r\n" ); document.write( "that's what it looks exactly like. But instead it means the three last\r\n" ); document.write( "digits of three numbers beginning with \"12\". They are 126, 126, and 127\r\n" ); document.write( "listed on the first row below, under \"Numbers meant by stem&leaf\", The\r\n" ); document.write( "number 3 is under \"Size\" because there are three numbers. The total\r\n" ); document.write( "of 379 is gotten by adding 126+126+127 = 379. At the bottom I added up\r\n" ); document.write( "the sizes and got 40, which is how many numers there are altogether\r\n" ); document.write( "represented. I added up all the sums and got a grand sum at the bottom\r\n" ); document.write( "of 2997 total students in all the sections. \r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " Class Numbers meant by stem&leaf Size Totals\r\n" ); document.write( "\r\n" ); document.write( " 12|667 126, 126, 127 3 379\r\n" ); document.write( " 11|89 118, 119 2 237\r\n" ); document.write( " 10|0257 100, 102, 105, 107 4 414\r\n" ); document.write( " 9|1357 91, 93, 95, 97 4 376\r\n" ); document.write( " 8|00377 80, 80, 83. 87, 87 5 417\r\n" ); document.write( " 7|257 72, 75, 77 3 224\r\n" ); document.write( " 6|22359 62, 62, 63, 65, 69 5 321\r\n" ); document.write( " 5|3389 53, 53, 58, 59 4 223\r\n" ); document.write( " 4|23366 42, 43, 43, 46, 46 5 220\r\n" ); document.write( " 3|66789 36, 36, 37, 38, 39 5 186\r\n" ); document.write( " ---------------------------------------------------------------\r\n" ); document.write( " 40 2997\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To get the mean, or average enrollment, you divide 2997 by 40 and get \r\n" ); document.write( "\r\n" ); document.write( "74.925 or about 75 on the average.\r\n" ); document.write( "\r\n" ); document.write( "The median size enrollment is the average of the two numbers right in\r\n" ); document.write( "the middle. They are 75 and 77. If you average them you get 76, so the \r\n" ); document.write( "median is 76.\r\n" ); document.write( "\r\n" ); document.write( "You didn't state what you were asked to find besides the totals and the\r\n" ); document.write( "grand total, so I just guessed that you wanted the mean and the median.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |