Bunuel
Tough and Tricky questions: Word Problems.

The chart above shows the distribution of letter grades for three groups of students on one test. Point values are assigned to the letter grades so that A = 4 points, B = 3 points, C = 2 points, and D = 1 point. Which of the following values is closest to the average (arithmetic mean) grade of students in group 3?
A. 2.2
B. 2.4
C. 2.9
D. 3.1
E. 3.7
Kudos for a correct solution.Attachment:
2015-01-05_1753.png
OFFICIAL SOLUTION:(B) There are 4 + 7 + 9 + 2 = 22 students in group 3.
The grade distribution in group 3 was:
4 students received a grade of D.
7 students received a grade of C.9 students received a grade of B.
2 students received a grade of A.
Therefore, the sum of the grade points for group 3 is:
(4 × 1) + (7 × 2) + (9 × 3) + (2 × 4) =
4 + 14 + 27 + 8 = 53.
We can find the average grade in group 3 by dividing this sum by the number of students in group 3:
Average for group 3 = 53/22.
Performing the required division, we see that 2.4 is the closest answer choice.
The correct answer is choice (B).