Problem-Solving and Data AnalysisMediumMean from a frequency list
Problem-Solving and Data Analysis practice question
Books read this month | Number of students
1 | 2
2 | 4
3 | 3
5 | 1
What is the mean number of books read per student?
Answer: 2.4 or 12/5
Total books: 1 × 2 + 2 × 4 + 3 × 3 + 5 × 1 = 2 + 8 + 9 + 5 = 24. Total students: 2 + 4 + 3 + 1 = 10. Mean = 24/10 = 2.4.
Common wrong answers
- If you answered 6
- 6 is 24/4, dividing the total by the number of different values instead of by the number of students, 10.
- If you answered 24
- 24 is the total number of books, not the mean per student.
- If you answered 2.75
- 2.75 is the mean of the four VALUES (1, 2, 3, 5) as if each occurred once. Each value must be weighted by how many students it applies to.
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