document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1201748>Question 1201748</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.\r<BR>\n" );
document.write( "\n" );
document.write( "68,49,47,38,52,47,49,24,57,69,55,49,69,<BR>\n" );
document.write( "65,55,49,57,27,33,65,49,30,35,48,34,27,46<BR>\n" );
document.write( "64,33,38,40,21,33,47,38,31,56\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Construct a​ stem-and-leaf plot for the data.\r<BR>\n" );
document.write( "\n" );
document.write( "Stem	Leaves	<BR>\n" );
document.write( "	2	enter your response here </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #836256 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=836256\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "You listed 37 values instead of 40.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The stem-and-leaf plot will consist of two columns: a stem on the left, and leaf on the right.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The stems in this case will be the tens place value.<BR>\n" );
document.write( "The possible stems are: 2, 3, 4, 5, 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "First we need to sort the data<BR>\n" );
document.write( "Original data set<BR>\n" );
document.write( "{<BR>\n" );
document.write( "68,49,47,38,52,47,49,24,57,69,55,49,69,<BR>\n" );
document.write( "65,55,49,57,27,33,65,49,30,35,48,34,27,46,<BR>\n" );
document.write( "64,33,38,40,21,33,47,38,31,56<BR>\n" );
document.write( "} \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Sorted data set<BR>\n" );
document.write( "{<BR>\n" );
document.write( "21,24,27,27,30,<BR>\n" );
document.write( "31,33,33,33,34,<BR>\n" );
document.write( "35,38,38,38,40,<BR>\n" );
document.write( "46,47,47,47,48,<BR>\n" );
document.write( "49,49,49,49,49,<BR>\n" );
document.write( "52,55,55,56,57,<BR>\n" );
document.write( "57,64,65,65,68,<BR>\n" );
document.write( "69,69<BR>\n" );
document.write( "}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "We can rearrange things so that each new stem gets its own line<BR>\n" );
document.write( "{<BR>\n" );
document.write( "21,24,27,27,<BR>\n" );
document.write( "30,31,33,33,33,34,35,38,38,38,<BR>\n" );
document.write( "40,46,47,47,47,48,49,49,49,49,49,<BR>\n" );
document.write( "52,55,55,56,57,57,<BR>\n" );
document.write( "64,65,65,68,69,69<BR>\n" );
document.write( "}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Erase each tens digit and erase each comma<BR>\n" );
document.write( "1477<BR>\n" );
document.write( "0133345888<BR>\n" );
document.write( "06777899999<BR>\n" );
document.write( "255677<BR>\n" );
document.write( "4558969\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "That represents the leaf values to be placed in the 2nd column of the stem-and-leaf plot.<BR>\n" );
document.write( "The stems will be the tens digits we erased.<BR>\n" );
document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD >stem</TD><TD >leaf</TD></tr><tr><TD >2</TD><TD >1477</TD></tr><tr><TD >3</TD><TD >0133345888</TD></tr><tr><TD >4</TD><TD >06777899999</TD></tr><tr><TD >5</TD><TD >255677</TD></tr><tr><TD >6</TD><TD >4558969</TD></tr>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "This is another slightly different way to write out the table.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28300%2C300%2C-5%2C5%2C-5%2C5%2C%0D%0Alocate%28-2%2C3%2Cmatrix%281%2C8%2C%22stem%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22leaf%22%29%29%2Clocate%28-2%2C2%2Cmatrix%281%2C8%2C%222%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%221477%22%29%29%2Clocate%28-2%2C1%2Cmatrix%281%2C8%2C%223%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%220133345888%22%29%29%2Clocate%28-2%2C0%2Cmatrix%281%2C8%2C%224%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%2206777899999%22%29%29%2Clocate%28-2%2C-1%2Cmatrix%281%2C8%2C%225%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22255677%22%29%29%2Clocate%28-2%2C-2%2Cmatrix%281%2C8%2C%226%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%22%22%2C%224558969%22%29%29%2C%0D%0Aline%28-2.2%2C2.2%2C3%2C2.2%29%2C%0D%0Aline%280%2C3.1%2C0%2C-2.8%29%2C%0D%0Aline%28-2%2B0.8%2C-3-0.9%2C-2%2B0.8%2C-3.7-0.9%29%2C%0D%0Alocate%28-3%2C-4%2Cmatrix%281%2C6%2C%22Key%3A%22%2C%224%22%2C%22%22%2C%226%22%2C%22means%22%2C%2246%22%29%29%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );