Question

the mean scores for students in a statistics course (by major) are shown below. what is the mean score for the class?
9 engineering majors: 85 5 math majors: 93 13 business majors: 84

the classs mean score is
(type an integer or a decimal rounded to two decimal places as needed.)

Explanation:

Step1: Calculate total scores for each major

Engineering: $9 \times 85 = 765$
Math: $5 \times 93 = 465$
Business: $13 \times 84 = 1092$

Step2: Sum total scores and total students

Total score: $765 + 465 + 1092 = 2322$
Total students: $9 + 5 + 13 = 27$

Step3: Compute class mean

Mean = $\frac{2322}{27} \approx 85.999... \approx 86.00$ (rounded to two decimals)

Answer:

86.00