Question 664314: If there are 13 people in a classroom and the average score was 76, what was the range of scores? Answer by vleith(2983) (Show Source):
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.
A 76 average across 13 students says the total score by all students was
If one student got a 0, that says the other 12 students must have an average os
Now one student can't score an 83 1/3, but can 12 students average that score?
Sure, one way would be for 8 students to score 83 and 4 to score 84.
So it is possible for one score to be 0.
Now let's see if one student could score 100.
If so, the the remaining 12 students would need to average
So that says a score of 100 is possible too.
The range is 0 to 100 (assumes 100 is the maximum score possible)
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