document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1185223>Question 1185223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A data set has a mean of x̄ = 77 and a standard deviation of 10.8 <BR>\n" );
document.write( "Find the z-score for each of the following:\r<BR>\n" );
document.write( "\n" );
document.write( "(a) x=85<BR>\n" );
document.write( "(b) x=95<BR>\n" );
document.write( "(c) x=50<BR>\n" );
document.write( "(d) x=75 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816010 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=816010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "A data set has a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mean ALIGN=MIDDLE  ALT=\"mean\"   DISABLED_style= \"max-width:90%; height:auto;\" > of x̄ or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=mu+=+77 ALIGN=MIDDLE  ALT=\"mu+=+77\"   DISABLED_style= \"max-width:90%; height:auto;\" > and a standard deviation of<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+delta=10.8 ALIGN=MIDDLE  ALT=\"+delta=10.8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Find the z-score for each of the following:\r<BR>\n" );
document.write( "\n" );
document.write( "z-score=(value-mean)/standard deviation\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z-score=%28x-mu%29%2Fdelta ALIGN=MIDDLE  ALT=\"z-score=%28x-mu%29%2Fdelta\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(a) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=85 ALIGN=MIDDLE  ALT=\"x=85\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z-score=%2885-77%29%2F10.8=0.74074074 ALIGN=MIDDLE  ALT=\"z-score=%2885-77%29%2F10.8=0.74074074\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "(b) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=95 ALIGN=MIDDLE  ALT=\"x=95\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z-score=%2895-77%29%2F10.8=1.666 ALIGN=MIDDLE  ALT=\"z-score=%2895-77%29%2F10.8=1.666\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "(c) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=50 ALIGN=MIDDLE  ALT=\"x=50\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z-score=%2850-77%29%2F10.8=-2.5 ALIGN=MIDDLE  ALT=\"z-score=%2850-77%29%2F10.8=-2.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "(d) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=75 ALIGN=MIDDLE  ALT=\"x=75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z-score=%2875-77%29%2F10.8=-0.185 ALIGN=MIDDLE  ALT=\"z-score=%2875-77%29%2F10.8=-0.185\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );