document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=734335>Question 734335</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A sample of data has a standard deviation of 68. If you were to multiply all of the scores in the data set by factor 38, What would the new standard deviation be?\r<BR>\n" );
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document.write( "Please be kind enough to explain how you go there so I am able to figure this out by myself too. The only calculator I have is a TI-30X </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448884 by </B><A HREF=/tutors/aboutme.mpl?userid=Positive_EV><B>Positive_EV(69)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Positive_EV><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=Positive_EV><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=448884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A calculator isn't going to help you, this is a pure theory problem.<br>\r<BR>\n" );
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document.write( "A rule which holds true for -every- statistical distribution is that Var[aX] = a^2*Var[X]. Thus, when you multiply the data set by 38, you multiply its variance by 38^2.<br>\r<BR>\n" );
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document.write( "The standard deviation for such a distribution is the square root of the variance, so it'll be sqrt(38^2) = 38 times higher.<br>\r<BR>\n" );
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document.write( "PS: If you can access the internet, there are calculators online that'll help you compute standard deviations and the like. Calculating stuff like a standard deviation by hand is a task I'd wish on no one :P </SPAN>\n" );
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