document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=36272>Question 36272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi.  Could you help me understand standard deviation?  Here is my problem:\r<BR>\n" );
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document.write( "Consider the following data set:  28, 34, 41, 19, 17, 23.\r<BR>\n" );
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document.write( "a) Compute the mean and standard deviation of the data set\r<BR>\n" );
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document.write( "b) Suppose each value is mulitplied by two and then 5 is added to each of the values after each is multiplied by two.  Compute the mean and standard deviation of this new data set.  \r<BR>\n" );
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document.write( "Thanks for your help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #22417 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=22417\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Could you help me understand standard deviation? Here is my problem:<BR>\n" );
document.write( "Consider the following data set: 28, 34, 41, 19, 17, 23.<BR>\n" );
document.write( "a) Compute the mean and standard deviation of the data set<BR>\n" );
document.write( "b) Suppose each value is mulitplied by two and then 5 is added to each of the values after each is multiplied by two. Compute the mean and standard deviation of this new data set.<BR>\n" );
document.write( "Thanks for your help!!!\r<BR>\n" );
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document.write( ".........		DEVIATION	SQUARE OF<BR>\n" );
document.write( "S.NO.....	X	WRT.MEAN	DEVIATION<BR>\n" );
document.write( "1..........	28	1	.............1<BR>\n" );
document.write( "2.......	34	7	............49<BR>\n" );
document.write( "3.......	41	14	...........196<BR>\n" );
document.write( "4.......	19	-8	............64<BR>\n" );
document.write( "5.......	17	-10	............100<BR>\n" );
document.write( "6.......	23	-4	.............16<BR>\n" );
document.write( "---------------------------------------------------<BR>\n" );
document.write( "TOTAL... 	162	0	.............426<BR>\n" );
document.write( "MEAN=162/6=...	27......	MEAN.OF SQUARES	=426/6=71<BR>\n" );
document.write( "			........OF DEVIATION\r<BR>\n" );
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document.write( "		R.M.S.DEVN.=SQRT(71)=	8.43<BR>\n" );
document.write( "		OR STD.DEVN.	\r<BR>\n" );
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document.write( "		DEVIATION	SQUARE OF<BR>\n" );
document.write( "S.NO.	X	WRT.MEAN	DEVIATION<BR>\n" );
document.write( "1	61	34......	1156<BR>\n" );
document.write( "2	73	46.........	2116<BR>\n" );
document.write( "3	87	60......	3600<BR>\n" );
document.write( "4	43	16.......	256<BR>\n" );
document.write( "5	39	12......	144<BR>\n" );
document.write( "6	51	24......	576<BR>\n" );
document.write( "TOTAL 	354	192.....	7848<BR>\n" );
document.write( "MEAN=354/6=	59......	MEAN.OF SQUARES	<BR>\n" );
document.write( "		................OF DEVNS.	<BR>\n" );
document.write( "			.........=7848/6=1308\r<BR>\n" );
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document.write( "		R.M.S.DEVN. = SQRT(1308)=36.16628264<BR>\n" );
document.write( "		OR STD.DEVN. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );