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: 84 5 math majors: 89 13 business majors: 80 the classs mean score is (type an integer or a decimal rounded to two decimal places as needed.)

Explanation:

Step1: Calculate the total score for each major

• Engineering majors: \(9\times84 = 756\)
• Math majors: \(5\times89=445\)
• Business majors: \(13\times80 = 1040\)

Step2: Calculate the total number of students

\(9 + 5+13=27\)

Step3: Calculate the total score of all students

\(756+445 + 1040=2241\)

Step4: Calculate the mean score of the class

The mean score \(\bar{x}=\frac{2241}{27}\)

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Answer:

\(83\)