16Hit1600
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.

More Problem-Solving and Data Analysis questions

Not affiliated with the College Board. SAT is a trademark of the College Board.