document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1204991>Question 1204991</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A teacher wants to calculate the average score of her students. She has the scores of 20 students, but she accidentally misplaced one score. If the average of the remaining 19 scores is 85, what should be the misplaced score to maintain a weighted mean of 87? </SPAN>\n" );
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document.write( "A quick informal solution using logical reasoning, if formal algebra is not required.<br><BR>\n" );
document.write( "The 19 scores she has are, on average, 87-85 = 2 points short of the desired mean; so together they are 19*2 = 38 points short.  That means the missing score must be 38 points above the desired mean.<br><BR>\n" );
document.write( "ANSWER: 87+38 = 125<br><BR>\n" );
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