document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=654261>Question 654261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> According to Chebyshevs theorem about 75% of a particular gym members aged between 19.4 and 76.6. Use this information to find the mean and standard deviation of the ages of the members of a gym. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #408662 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=408662\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> According to Chebyshevs theorem about 75% of a particular gym members aged between 19.4 and 76.6. Use this information to find the mean and standard deviation of the ages of the members of a gym.<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Solve:<BR>\n" );
document.write( "1-(1/k)^2 = 0.75<BR>\n" );
document.write( "---<BR>\n" );
document.write( "k = 2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "So, u + 2s = 76.6<BR>\n" );
document.write( "And u - 2s = 19.4<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Subtract to get:<BR>\n" );
document.write( "4s = 57.2<BR>\n" );
document.write( "s = 14.3 (that is the standard deviation)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Solve for \"u\":<BR>\n" );
document.write( "u + 2*14.3 = 76.6<BR>\n" );
document.write( "u = 76.6 - 28.6<BR>\n" );
document.write( "u = 48 (that is the mean)<BR>\n" );
document.write( "==============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );