document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=475782>Question 475782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The frequency distribution indicates the heights of 45 male high school seniors.<BR>\n" );
document.write( "Height (in.) <BR>\n" );
document.write( " Number of Males <BR>\n" );
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document.write( "64<BR>\n" );
document.write( "  2<BR>\n" );
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document.write( "65<BR>\n" );
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document.write( "66<BR>\n" );
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document.write( "67<BR>\n" );
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document.write( "69<BR>\n" );
document.write( "  6<BR>\n" );
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document.write( "70<BR>\n" );
document.write( "  3<BR>\n" );
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document.write( "71<BR>\n" );
document.write( "  0<BR>\n" );
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document.write( "72<BR>\n" );
document.write( "  2<BR>\n" );
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document.write( "a) Construct a histogram of the frequency distribution. <BR>\n" );
document.write( "b) Construct a frequency polygon of the frequency distribution<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #327844 by </B><A HREF=/tutors/aboutme.mpl?userid=cleomenius><B>cleomenius(959)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cleomenius><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/cgi-bin/show-face.mpl?user=cleomenius><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=327844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First we will make a chart of the range column, number of events in each range.<BR>\n" );
document.write( "Normally you would also have a column for the midpoint of your range, but since each range will only consist of one number, there really isn't a midpoint.\r<BR>\n" );
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document.write( "64   ||2<BR>\n" );
document.write( "65   ||6<BR>\n" );
document.write( "66   ||7<BR>\n" );
document.write( "67   ||9<BR>\n" );
document.write( "68   ||10<BR>\n" );
document.write( "69   ||6<BR>\n" );
document.write( "70   ||3<BR>\n" );
document.write( "71   ||0<BR>\n" );
document.write( "72   ||2\r<BR>\n" );
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document.write( "Now, we make a graph with the frequency on the left and the range columns on the bottom<BR>\n" );
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document.write( "The following would be the histogram.\r<BR>\n" );
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document.write( "10|00  00  00  00  xx  00  00  00  00<BR>\n" );
document.write( "9 | 00  00  00  xx  xx  00  00  00  00<BR>\n" );
document.write( "8 | 00  00  00  xx  xx  00  00  00  00<BR>\n" );
document.write( "7 |00  00  xx  xx  xx  00  00  00  00<BR>\n" );
document.write( "6 |00  xx  xx  xx  xx  xx  00  00  00 <BR>\n" );
document.write( "5 |00  xx  xx  xx  xx  xx  00  00  00<BR>\n" );
document.write( "4 |00  xx  xx  xx  xx  xx  00  00  00<BR>\n" );
document.write( "3 |00  xx  xx  xx  xx  xx  00  00  00<BR>\n" );
document.write( "2 |xx  xx  xx  xx  xx  xx  xx  00  00<BR>\n" );
document.write( "1 |xx  xx  xx  xx  xx  xx  xx  00  xx<BR>\n" );
document.write( "0 |xx  xx  xx  xx  xx  xx  xx  xx  xx<BR>\n" );
document.write( "__64  65  66  67  68  69  70  71  72 <BR>\n" );
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document.write( "The following would be a frequency polygon diagram.<BR>\n" );
document.write( "Keep in mind, the dashes should be only<BR>\n" );
document.write( "points representing the midpoints of the ranges,<BR>\n" );
document.write( "and the points should be connected by lines.<BR>\n" );
document.write( ".....................................<BR>\n" );
document.write( "10|00 00 00 00 _  00 00 00 00<BR>\n" );
document.write( "9 |00 00 00 __ || 00 00 00 00<BR>\n" );
document.write( "8 |00 00 00 |0 0| 00 00 00 00<BR>\n" );
document.write( "7 |00 00 __ |0 0| 00 00 00 00<BR>\n" );
document.write( "6 |00 __ |0 00 00 __ 00 00 00<BR>\n" );
document.write( "5 |00 |0 00 00 00 0| 00 00 00<BR>\n" );
document.write( "4 |00 |0 00 00 00 0| 00 00 00<BR>\n" );
document.write( "3 |00 |0 00 00 00 0| 00 00 00<BR>\n" );
document.write( "2 |__ |0 00 00 00 00 __ 00 00<BR>\n" );
document.write( "1 |00 00 00 00 00 00 00 |0 __<BR>\n" );
document.write( "0 |00 00 00 00 00 00 00 __ |0<BR>\n" );
document.write( "__|64 65 66 67 68 69 70 71 72 \r<BR>\n" );
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document.write( "Both the histogram and polygon distribution<BR>\n" );
document.write( "represent the same data, but in different forms.<BR>\n" );
document.write( "The polygon distribution is preferred when you <BR>\n" );
document.write( "have multiple data sets you want to compare, as it <BR>\n" );
document.write( "is composed of only lines. \r<BR>\n" );
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document.write( "Cleomenius. </SPAN>\n" );
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