document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1179880>Question 1179880</A>: <I><SPAN STYLE=\"word-break: break-all;\"> You went bowling in two leagues. In the first league the mean bowling score is 167 with a standard deviation of 44. In the second league the mean score is 180 with a standard deviation of 35. If you bowl a game of 201 in both leagues in which league is this score the best in comparison to the other bowlers? Explain why.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #809713 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=809713\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> normalize the score with z=(x-mean)/sd<BR>\n" );
document.write( "for the first z=(201-167)/44=34/44=0.77<BR>\n" );
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document.write( "for the second =(201-180)/35=21/35=0.6<BR>\n" );
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document.write( "The first z-score is higher which means one is at a higher percentile of the group than the second z=score. </SPAN>\n" );
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