document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179842>Question 1179842</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given the following date: 8,5,6,10,8,3,6 find the \r<BR>\n" );
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document.write( "A. Median\r<BR>\n" );
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document.write( "B.Sample Mean\r<BR>\n" );
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document.write( "C.Sample Standard Deviation\r<BR>\n" );
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document.write( "Explain your answers & show work.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809439 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20855)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809439\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given the following date: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > find the\r<BR>\n" );
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document.write( "A. Median\r<BR>\n" );
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document.write( "The median is the value separating the higher half of the data set, from the lower half.<BR>\n" );
document.write( "If the number of terms is odd, then the median is the middle ellement of the sorted set.<BR>\n" );
document.write( "If the number of terms is even, then the median is the arithmetic mean of the two middle elements of the sorted set.\r<BR>\n" );
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document.write( "sorted set:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5 ALIGN=MIDDLE  ALT=\"5\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" >,|<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%286%29 ALIGN=MIDDLE  ALT=\"highlight%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >|,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Median=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%286%29 ALIGN=MIDDLE  ALT=\"highlight%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "B.Sample Mean\r<BR>\n" );
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document.write( "mean(average) is the sum of the values in the set divided by the number of elements in that set\r<BR>\n" );
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document.write( "mean=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2B5%2B6%2B6%2B8%2B8%2B10%29%2F7=46%2F7=6.571428571 ALIGN=MIDDLE  ALT=\"%283%2B5%2B6%2B6%2B8%2B8%2B10%29%2F7=46%2F7=6.571428571\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "C.Sample Standard Deviation\r<BR>\n" );
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document.write( "Standard Deviation is the square root of variance, so compute variance\r<BR>\n" );
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document.write( "Explanation<BR>\n" );
document.write( "First, I added up all of the numbers: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B+5+%2B+6+%2B+6+%2B+8+%2B+8+%2B+10+=+46 ALIGN=MIDDLE  ALT=\"3+%2B+5+%2B+6+%2B+6+%2B+8+%2B+8+%2B+10+=+46\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I squared the total, and then divided the number of items in the data set <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=46%5E2%2F7+=+2116%2F7=+302.2857142857143 ALIGN=MIDDLE  ALT=\"46%5E2%2F7+=+2116%2F7=+302.2857142857143\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I took my set of original numbers from step 1, squared them individually this time, and added them all up:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2+%2B+5%5E2+%2B+6%5E2%2B+6%5E2%2B+8%5E2+%2B+8%5E2+%2B+10%5E2+=+334 ALIGN=MIDDLE  ALT=\"3%5E2+%2B+5%5E2+%2B+6%5E2%2B+6%5E2%2B+8%5E2+%2B+8%5E2+%2B+10%5E2+=+334\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I subtracted the amount in step 2 from the amount in step 3:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=334+-+302.2857142857143+=+31.714285714285722 ALIGN=MIDDLE  ALT=\"334+-+302.2857142857143+=+31.714285714285722\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I subtracted 1 from the number of items in my data set:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7+-+1+=+6 ALIGN=MIDDLE  ALT=\"7+-+1+=+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I divided the number in step 4 by the number in step 5:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31.714285714285722+%2F+6+=+5.28571428571 ALIGN=MIDDLE  ALT=\"31.714285714285722+%2F+6+=+5.28571428571\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>This is my Variance!\r<BR>\n" );
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document.write( "Finally, I took the square root of the number from step 6 (the Variance),<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285.285714285714287%29+=+2.2990681 ALIGN=MIDDLE  ALT=\"sqrt%285.285714285714287%29+=+2.2990681\"   DISABLED_style= \"max-width:90%; height:auto;\" >=>This is my Standard Deviation!\r<BR>\n" );
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document.write( " </SPAN>\n" );
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