document.write( "Question 1193389: Suppose that the mean score of 28 students (in a class of 30 students) in a quiz is 28. What should be the mean of the remaining 2 students in the class in order that the class mean is 30? \n" ); document.write( "

Algebra.Com's Answer #825398 by ikleyn(52812) $\"\"$ $\"About$

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\n" ); document.write( "Suppose that the mean score of 28 students (in a class of 30 students) in a quiz is 28.
\n" ); document.write( "What should be the mean of the remaining 2 students in the class in order that the class mean is 30?
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document.write( "Let the mean of the remaining 2 students in the class be x.\r\n" );
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document.write( "Then the total scores of the 30 students is  28*28 + 2x and the average of the 30 students is  .\r\n" );
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document.write( "So an equation to find x is this\r\n" );
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document.write( "     = 30.\r\n" );
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document.write( "Simplify and find x\r\n" );
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document.write( "    28*28 + 2x = 30*30\r\n" );
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document.write( "      784 + 2x =   900\r\n" );
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document.write( "            2x = 900 - 784\r\n" );
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document.write( "            2x = 116\r\n" );
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document.write( "             x = 116/2 = 58.\r\n" );
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document.write( "ANSWER.  The mean score of the remaining 2 students in the class should be 58.\r\n" );
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