document.write( "Question 1179649: Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.51 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are no more than 3.37? Please do not round your answer. \n" ); document.write( "
Algebra.Com's Answer #809235 by ewatrrr(24785)![]() ![]() You can put this solution on YOUR website! 3.37 = 2.51 + 2*.43 \n" ); document.write( "3.37 is 2 SD Above or to the right of the mean \n" ); document.write( "percentage of the students have grade point averages that are no more than 3.37: \n" ); document.write( " .50 + 47.7 = 97.7\r \n" ); document.write( "\n" ); document.write( "one standard deviation from the mean accounts for about 68.2% of the set \n" ); document.write( "two standard deviations from the mean account for about 95.4% *******95.4/2 = 47.7 \n" ); document.write( "and three standard deviations from the mean account for about 99.7%. \n" ); document.write( "Important to Understand z -values as they relate to the Standard Normal curve: \n" ); document.write( " |