document.write( "Question 1190987: The mean grade of Adrian in the final examination in Mathematics was 85 and the standard deviation was 7. In Science, his mean grade was 89 and the standard deviation was 13. He scored 90 in Mathematics and 94 in Science. In which subject was his standing higher? \n" ); document.write( "
Algebra.Com's Answer #822730 by ikleyn(52812)\"\" \"About 
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\n" ); document.write( "The mean grade of Adrian in the final examination in Mathematics was 85 and the standard deviation was 7.
\n" ); document.write( "In Science, his mean grade was 89 and the standard deviation was 13. He scored 90 in Mathematics and 94 in Science.
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document.write( "Use the formula for z-score\r\n" );
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document.write( "    Z = \"%28x+-+mu%29%2Fsigma\"\r\n" );
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document.write( "where\r\n" );
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document.write( "Z	=	standard score\r\n" );
document.write( "x	=	observed value\r\n" );
document.write( "mu	=	mean of the sample\r\n" );
document.write( "sigma	=	standard deviation of the sample\r\n" );
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document.write( "So, in Math     \"Z%5Bmath%5D\"    = \"%2890+-+85%29%2F7\" = \"5%2F7\".    \r\n" );
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document.write( "    In Science, \"Z%5Bscience%5D\" = \"%2894+-+89%29%2F13\" = \"5%2F13\".  \r\n" );
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document.write( "His score in Math,  \"5%2F7\",  is higher than his score in Science,  \"5%2F13\".      ANSWER\r\n" );
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