If 99 students had a mean quiz score of 82, how much is the mean score increased by the addition of a single score of 99? explain.

The Mean would increase to 82.17 or a total increase of .17

You have 99 students and the avg is 82, therefore we can multiply 99*82 to get our total points

99*82=8118
We add a single score of 99 to our total points 8118+99= 8217

Then we add the student to the total number of students bringing it to 100 and divide our new total by the our new number of students. 
8217/100 = 82.17

X= 49; x = 4step 1: foilstep 2: equal both to 0step 3: find x individually