document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1083701>Question 1083701</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The eye colour of 360 individuals is partially recorded in the table below. Due to administrative error some of the information is missing.\r<BR>\n" );
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document.write( "Eye Colour                Frequency        Relative Frequency<BR>\n" );
document.write( "blue                        126<BR>\n" );
document.write( "brown                       90<BR>\n" );
document.write( "green                       36<BR>\n" );
document.write( " grey                       72<BR>\n" );
document.write( "hazel<BR>\n" );
document.write( "                                    <BR>\n" );
document.write( " (i) Determine the frequency of eye colour ‘hazel’.<BR>\n" );
document.write( "(ii) Determine the relative frequencies of each eye colour and fill in the table.<BR>\n" );
document.write( "(iii) What type of variable is ‘Eye Colour’? <BR>\n" );
document.write( "(iv) Represent the data on a bar chart. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #697747 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=697747\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"4\">Given Table<BR>\n" );
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document.write( "<tr><th>Eye Colour</th><th>Frequency</th><th>Relative Frequency</th></tr><tr><TD >blue</TD><TD >126</TD><TD ></TD></tr><tr><TD >brown</TD><TD >90</TD><TD ></TD></tr><tr><TD >green</TD><TD >36</TD><TD ></TD></tr><tr><TD >grey</TD><TD >72</TD><TD ></TD></tr><tr><TD >hazel</TD><TD >x</TD><TD ></TD></tr><tr><TD >Total</TD><TD >360</TD><TD ></TD></tr>\n" );
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document.write( "Right now x is unknown, but can be found later. It's simply a placeholder for a number.\r<BR>\n" );
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document.write( "Part (i)\r<BR>\n" );
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document.write( "The values in the frequency column add up to the total of 360. <BR>\n" );
document.write( "Use this fact to solve for x.\r<BR>\n" );
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document.write( "126+90+36+72+x = 360<BR>\n" );
document.write( "324+x = 360<BR>\n" );
document.write( "324+x-324 = 360-324<BR>\n" );
document.write( "x = 36\r<BR>\n" );
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document.write( "There are 36 individuals who have hazel eyes.\r<BR>\n" );
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document.write( "The table updates to<BR>\n" );
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document.write( "<tr><th>Eye Colour</th><th>Frequency</th><th>Relative Frequency</th></tr><tr><TD >blue</TD><TD >126</TD><TD ></TD></tr><tr><TD >brown</TD><TD >90</TD><TD ></TD></tr><tr><TD >green</TD><TD >36</TD><TD ></TD></tr><tr><TD >grey</TD><TD >72</TD><TD ></TD></tr><tr><TD >hazel</TD><TD >36</TD><TD ></TD></tr><tr><TD >Total</TD><TD >360</TD><TD ></TD></tr>\n" );
document.write( "</TABLE>\r<BR>\n" );
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document.write( "------------------------------------------------------------------\r<BR>\n" );
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document.write( "Part (ii)\r<BR>\n" );
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document.write( "Divide each frequency by the total (360)\r<BR>\n" );
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document.write( "The relative frequency for blue eyes is 126/360 = 0.35 which is equivalent to 35%<BR>\n" );
document.write( "The relative frequency for brown eyes is 90/360 = 0.25 which is equivalent to 25%<BR>\n" );
document.write( "The relative frequency for green eyes is 36/360 = 0.1 which is equivalent to 10%<BR>\n" );
document.write( "The relative frequency for grey eyes is 72/360 = 0.2 which is equivalent to 20%<BR>\n" );
document.write( "The relative frequency for hazel eyes is 36/360 = 0.1 which is equivalent to 10%\r<BR>\n" );
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document.write( "The table further updates to<BR>\n" );
document.write( "<TABLE  cellpadding=3 border=1>\n" );
document.write( "<tr><th>Eye Colour</th><th>Frequency</th><th>Relative Frequency</th></tr><tr><TD >blue</TD><TD >126</TD><TD >0.35 = 35%</TD></tr><tr><TD >brown</TD><TD >90</TD><TD >0.25 = 25%</TD></tr><tr><TD >green</TD><TD >36</TD><TD >0.1 = 10%</TD></tr><tr><TD >grey</TD><TD >72</TD><TD >0.2 = 20%</TD></tr><tr><TD >hazel</TD><TD >36</TD><TD >0.1 = 10%</TD></tr><tr><TD >Total</TD><TD >360</TD><TD >1 = 100%</TD></tr>\n" );
document.write( "</TABLE>\r<BR>\n" );
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document.write( "------------------------------------------------------------------\r<BR>\n" );
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document.write( "Part (iii)\r<BR>\n" );
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document.write( "\"Eye color\" is a categorical variable because there are a finite number of choices to pick from when it comes to eye color.<BR>\n" );
document.write( "With categorical variables, there is no overlap with any of the choices.\r<BR>\n" );
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document.write( "\"Eye color\" is a nominal variable as well because we can assign a name to it, but we cannot sort it or do math on the values.<BR>\n" );
document.write( "It makes no sense to add up or divide eye colors.\r<BR>\n" );
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document.write( "Part (iv)\r<BR>\n" );
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document.write( "To make the bar chart, plot the different colors along the x axis. <BR>\n" );
document.write( "The height of each bar is equal to its corresponding frequency<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"https://i.imgur.com/7tDB5YZ.png\"><BR>\n" );
document.write( "The chart was generated with Excel (other free programs like Open Office can do the same thing)<BR>\n" );
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