document.write( "Question 664314: If there are 13 people in a classroom and the average score was 76, what was the range of scores? \n" ); document.write( "

Algebra.Com's Answer #413229 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let's see if we can have one score be a 0 and still get an average of 76.
\n" ); document.write( "A 76 average across 13 students says the total score by all students was $\"76%2A13+=+988\"$
\n" ); document.write( "If one student got a 0, that says the other 12 students must have an average os $\"988%2F12+=+82.33333\"$
\n" ); document.write( "Now one student can't score an 83 1/3, but can 12 students average that score?
\n" ); document.write( "Sure, one way would be for 8 students to score 83 and 4 to score 84.
\n" ); document.write( "So it is possible for one score to be 0.\r
\n" ); document.write( "\n" ); document.write( "Now let's see if one student could score 100.
\n" ); document.write( "If so, the the remaining 12 students would need to average $\"%28988+-+100%29%2F12+=+74\"$
\n" ); document.write( "So that says a score of 100 is possible too.\r
\n" ); document.write( "\n" ); document.write( "The range is 0 to 100 (assumes 100 is the maximum score possible) \n" ); document.write( "

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