document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=672546>Question 672546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Construct a grouped frequency distribution for the following 28 scores using a class width of 4:<BR>\n" );
document.write( "15   32   23   31   29   26   21   15   34   25   26   33   27   17  <BR>\n" );
document.write( "26   12   24   19   27   30   22   30   30   24   25   35   18   24  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #418183 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=418183\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the original data set\r<BR>\n" );
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document.write( "15,32,23,31,29,26,21,15,34,25,26,33,27,17,26,12,24,19,27,30,22,30,30,24,25,35,18,24\r<BR>\n" );
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document.write( "and sort from least to greatest to get\r<BR>\n" );
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document.write( "12,15,15,17,18,19,21,22,23,24,24,24,25,25,26,26,26,27,27,29,30,30,30,31,32,33,34,35\r<BR>\n" );
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document.write( "The min is 12. Each class has a width of 4. So the classes used are:\r<BR>\n" );
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document.write( "12-15, 16-19, 20-23, 24-27, 28-31, 32-35\r<BR>\n" );
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document.write( "Notice how there are 4 values in each class (eg: 12-15 has 4 values and they are 12, 13, 14, 15). Also, notice how the classes do not overlap. \r<BR>\n" );
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document.write( "Now assign each data value in the original list to the appropriate class. For example, the value 19 belongs in the class 16-19 while the value 25 belongs in the class 24-27. Do this for EVERY value in the list to get the following\r<BR>\n" );
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document.write( "<TABLE  BORDER=1 CELLPADDING=10>\n" );
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document.write( "<TR>\r\n" );
document.write( "  <TD >Class</TD>\r\n" );
document.write( "  <TD >Data</TD>\r\n" );
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document.write( "  <TD >12-15</TD>\r\n" );
document.write( "  <TD >15,15,12</TD>\r\n" );
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document.write( "  <TD >16-19</TD>\r\n" );
document.write( "  <TD >17,19,18</TD>\r\n" );
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document.write( "  <TD >20-23</TD>\r\n" );
document.write( "  <TD >23,21,22</TD>\r\n" );
document.write( "</TR>\r\n" );
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document.write( "  <TD >24-27</TD>\r\n" );
document.write( "  <TD >26,25,26,27,26,24,27,24,25,24</TD>\r\n" );
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document.write( "  <TD >28-31</TD>\r\n" );
document.write( "  <TD >31,29,30,30,30</TD>\r\n" );
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document.write( "  <TD >32-35</TD>\r\n" );
document.write( "  <TD >32,34,33,35</TD>\r\n" );
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document.write( "</TABLE>\r<BR>\n" );
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document.write( "Hopefully this table is straightforward to read. If not, then row 4 (class 24-27) for instance says that the values 26,25,26,27,26,24,27,24,25,24 all lie in the range from 24 to 27. So they belong in the class 24-27.\r<BR>\n" );
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document.write( "Now count up the frequencies in each class. Eg: There are 3 values in the first class, so the frequency for 12-15 is 3.  This gives you the updated table:\r<BR>\n" );
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document.write( "<TABLE  BORDER=1 CELLPADDING=10>\n" );
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document.write( "<TR>\r\n" );
document.write( "  <TD >Class </TD>\r\n" );
document.write( "  <TD > Data </TD>\r\n" );
document.write( "  <TD > Frequency</TD>\r\n" );
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document.write( "<TR>\r\n" );
document.write( "  <TD >12-15 </TD>\r\n" );
document.write( "  <TD > 15,15,12 </TD>\r\n" );
document.write( "  <TD > 3</TD>\r\n" );
document.write( "</TR>\r\n" );
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document.write( "  <TD >16-19 </TD>\r\n" );
document.write( "  <TD > 17,19,18 </TD>\r\n" );
document.write( "  <TD > 3</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >20-23 </TD>\r\n" );
document.write( "  <TD > 23,21,22 </TD>\r\n" );
document.write( "  <TD > 3</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >24-27 </TD>\r\n" );
document.write( "  <TD > 26,25,26,27,26,24,27,24,25,24 </TD>\r\n" );
document.write( "  <TD > 10</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >28-31 </TD>\r\n" );
document.write( "  <TD > 31,29,30,30,30 </TD>\r\n" );
document.write( "  <TD > 5</TD>\r\n" );
document.write( "</TR>\r\n" );
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document.write( "  <TD >32-35 </TD>\r\n" );
document.write( "  <TD > 32,34,33,35 </TD>\r\n" );
document.write( "  <TD > 4</TD>\r\n" );
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document.write( "</TABLE>\r<BR>\n" );
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document.write( "The last step is to delete the middle data column to get this final answer\r<BR>\n" );
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document.write( "<TABLE  BORDER=1 CELLPADDING=10>\n" );
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document.write( "<TR>\r\n" );
document.write( "  <TD >Class </TD>\r\n" );
document.write( "  <TD > Frequency</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >12-15 </TD>\r\n" );
document.write( "  <TD > 3</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >16-19 </TD>\r\n" );
document.write( "  <TD > 3</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >20-23 </TD>\r\n" );
document.write( "  <TD > 3</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >24-27 </TD>\r\n" );
document.write( "  <TD > 10</TD>\r\n" );
document.write( "</TR>\r\n" );
document.write( "<TR>\r\n" );
document.write( "  <TD >28-31 </TD>\r\n" );
document.write( "  <TD > 5</TD>\r\n" );
document.write( "</TR>\r\n" );
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document.write( "  <TD >32-35 </TD>\r\n" );
document.write( "  <TD > 4</TD>\r\n" );
document.write( "</TR>\r\n" );
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document.write( "</TABLE>\r<BR>\n" );
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document.write( "I hope this makes sense. If not, please let me know. Thanks. </SPAN>\n" );
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