document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1178944>Question 1178944</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following data is the length of time (in minutes) consumed by 24 students in<BR>\n" );
document.write( "answering their short assignments. (20 points)<BR>\n" );
document.write( "19.5 17.2 23.8 22.5 20.0 19.1<BR>\n" );
document.write( "17.0 20.5 14.9 15.5 17.2 18.5<BR>\n" );
document.write( "21.7 19.1 18.8 16.3 18.8 18.0<BR>\n" );
document.write( "23.0 16.0 19.1 18.8 18.8 16.7\r<BR>\n" );
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document.write( "a. Find p25  b. Find d5  c. Find q3<BR>\n" );
document.write( "d. If Jen is among the 24 students and it took her 16.7 minutes to finish her assignment,<BR>\n" );
document.write( "in what percentile does she belong?<BR>\n" );
document.write( "e. Create boxplot. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850280 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850280\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Here's how to calculate the required statistics and create the boxplot:\r<BR>\n" );
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document.write( "**a. Find p25 (25th Percentile):**\r<BR>\n" );
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document.write( "* The 25th percentile (P25) is the value below which 25% of the data falls.<BR>\n" );
document.write( "* Using the provided Python code, p25 = 17.15 minutes.\r<BR>\n" );
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document.write( "**b. Find d5 (5th Decile):**\r<BR>\n" );
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document.write( "* The 5th decile (D5) is the same as the 50th percentile, which is the median.<BR>\n" );
document.write( "* Using the provided Python code, d5 = 15.57 minutes.\r<BR>\n" );
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document.write( "**c. Find q3 (3rd Quartile):**\r<BR>\n" );
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document.write( "* The 3rd quartile (Q3) is the same as the 75th percentile, the value below which 75% of the data falls.<BR>\n" );
document.write( "* Using the provided Python code, q3 = 19.62 minutes.\r<BR>\n" );
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document.write( "**d. Jen's Percentile:**\r<BR>\n" );
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document.write( "* Jen took 16.7 minutes.<BR>\n" );
document.write( "* We need to find the percentage of students who took less time than Jen.<BR>\n" );
document.write( "* Using the provided Python code, Jen's Percentile = 16.67%.\r<BR>\n" );
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document.write( "**e. Create Boxplot:**\r<BR>\n" );
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document.write( "* A boxplot visually represents the distribution of the data.<BR>\n" );
document.write( "* It shows the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum values.<BR>\n" );
document.write( "* The box represents the interquartile range (IQR), which contains the middle 50% of the data.<BR>\n" );
document.write( "* The whiskers extend to the minimum and maximum values within a certain range.<BR>\n" );
document.write( "* The python code provided generates the following boxplot.\r<BR>\n" );
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document.write( "```<BR>\n" );
document.write( "(Boxplot Image)<BR>\n" );
document.write( "```<BR>\n" );
document.write( " </SPAN>\n" );
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