Question

a total of 51 juniors and seniors were given a mathematics test. the 35 juniors attained an average score of 84 while the 16 seniors attained an average of 72. what was the average score for all 51 students who took the test? round your answer to the nearest whole number.
a. 81
b. 79
c. 76
d. 80
e. 79

Explanation:

Step1: Calculate total score of juniors

Total score of juniors = number of juniors × average score of juniors = \( 35 \times 84 \) = \( 2940 \)

Step2: Calculate total score of seniors

Total score of seniors = number of seniors × average score of seniors = \( 16 \times 72 \) = \( 1152 \)

Step3: Calculate total score of all students

Total score of all students = total score of juniors + total score of seniors = \( 2940 + 1152 \) = \( 4092 \)

Step4: Calculate average score of all students

Average score = total score of all students ÷ total number of students = \( \frac{4092}{51} \) ≈ \( 80.235 \), rounded to nearest whole number is 80

Answer:

D. 80