SOLUTION: If there are 13 people in a classroom and the average score was 76, what was the range of scores?

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)
RELATED QUESTIONS
The class average on a math test was 82 and there are 8 students in the class. If seven... (answered by richwmiller)

Assume I drew 2 random samples of University of Phoenix students, gave them a statistics... (answered by edjones)

In a class of 9 people, the average test score was 80. If a tenth student takes the test... (answered by greenestamps)

If there are 13 boys and 16 girls in a classroom, what fraction of the students are boys? (answered by josmiceli)

There are 10 females and 20 males in a history class. If the females achieved an average... (answered by ankor@dixie-net.com)

Six students took a unit test and received the following scores: Student 1 - Score 78 (answered by macston)

on the last test the range of scores was 35 points. If the highest score was 95, what was (answered by math_helper)

The average of the 5 highest scores on a history test was 95. Four of the scores were 91, (answered by jorel1380)

In a class of 21 students the average score on a math test was 77%. If Suzie Smart got... (answered by stanbon)