document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=915797>Question 915797</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The following are the annual incomes (in<BR>\n" );
document.write( "thousands of dollars) for randomly chosen,<BR>\n" );
document.write( "U.S. adults employed full-time:<BR>\n" );
document.write( "27, 31, 33, 34, 35, 38, 39, 40, 40, 40, 41, 41, 42,<BR>\n" );
document.write( "42, 44, 47, 49, 50, 51, 54, 63, 82, 90, 112.<BR>\n" );
document.write( "(a) Which measures of central tendency do<BR>\n" );
document.write( "not exist for this data set? Choose all that<BR>\n" );
document.write( "apply.<BR>\n" );
document.write( "1. Mean<BR>\n" );
document.write( "2. Median<BR>\n" );
document.write( "3. Mode<BR>\n" );
document.write( "4. None of these measures<BR>\n" );
document.write( "(b) Suppose that the measurement 112 (the<BR>\n" );
document.write( "largest measurement in the data set) were<BR>\n" );
document.write( "replaced by 153. Which measures of<BR>\n" );
document.write( "central tendency would be affected by the<BR>\n" );
document.write( "change? Choose all that apply.<BR>\n" );
document.write( "1. Mean<BR>\n" );
document.write( "2. Median<BR>\n" );
document.write( "3. Mode<BR>\n" );
document.write( "4. None of these measures<BR>\n" );
document.write( "(c) Suppose that, starting with the original<BR>\n" );
document.write( "data set, the smallest measurement were<BR>\n" );
document.write( "removed. Which measures of central<BR>\n" );
document.write( "tendency would be changed from those of<BR>\n" );
document.write( "the original data set? Choose all that apply.<BR>\n" );
document.write( "1. Mean<BR>\n" );
document.write( "2. Median<BR>\n" );
document.write( "3. Mode<BR>\n" );
document.write( "4. None of these measures<BR>\n" );
document.write( "(d) The relative values of the mean and<BR>\n" );
document.write( "median for the original data set are typical<BR>\n" );
document.write( "of data that have a significant skew to the<BR>\n" );
document.write( "right. What are the relative values of the<BR>\n" );
document.write( "mean and median for the original data set?<BR>\n" );
document.write( "Choose only one.<BR>\n" );
document.write( "1. Mean is greater<BR>\n" );
document.write( "2. Median is greater<BR>\n" );
document.write( "3. Cannot be determined<BR>\n" );
document.write( "5. Graph the line. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #555783 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=555783\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. data set has mean <BR>\n" );
document.write( "(sum/24) = 48.5(rounded), <BR>\n" );
document.write( "median = 41.5 (middle two numbers smallest to largest)/2 and <BR>\n" );
document.write( "mode is 40(3 of them)<BR>\n" );
document.write( "b. replacing 112 with 153...will change mean<BR>\n" );
document.write( "c. removing smallest, mean and median will change<BR>\n" );
document.write( "d. Mean is greater (skewed right) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );