Question 245629
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Let *[tex \Large x] represent the number of students.  Then *[tex \Large \frac{x}{2}] is half of the students.


If 73 is the mean, then *[tex \Large 73x] is the total number of points scored by the class.  If each of half of the class get 6 additional points, then the total points would increase by *[tex \Large \frac{6x}{2}\ =\ 3x], hence the total number of points would be *[tex \Large 73x\ +\ 3x\ =\ 76x].


If the total points are *[tex \Large 76x], then the mean must be *[tex \Large \frac{76x}{x}\ =\ 76] which is 3 greater than the given mean.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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