Math Problem Statement
The histogram shows the hours per week each person in a class watches television. Determine the total number of students in the class, the relative frequency of students who watch 4-6 hours of TV, and the relative frequency of students who watch 4 or more hours of TV.
Solution
From the histogram:
-
Finding the total number of students in the class:
- 1–3 hours: Frequency = 2
- 4–6 hours: Frequency = 10
- 7–9 hours: Frequency = 6
- 10–12 hours: Frequency = 2
Total number of students = students.
-
Relative frequency of students who watch 4–6 hours of TV:
- Relative frequency =
- or 50%.
-
Relative frequency of students who watch 4 or more hours of TV:
- Add frequencies for 4–6, 7–9, and 10–12 hours: .
- Relative frequency = or 90%.
Final Answers:
- Total students in the class: 20 students.
- Relative frequency (4–6 hours): 0.5 or 50%.
- Relative frequency (4 or more hours): 0.9 or 90%.
Would you like a breakdown of how relative frequency is calculated or any other details?
Here are 5 related questions you might find useful:
- How do you calculate cumulative frequency from a histogram?
- What is the significance of relative frequency in statistics?
- How do you represent relative frequency on a histogram?
- What is the difference between relative and absolute frequency?
- Can relative frequencies sum to more than 1? Why or why not?
Tip: Always ensure that the total relative frequency sums to 1 to confirm the calculation accuracy.
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Math Problem Analysis
Mathematical Concepts
Frequency Distribution
Relative Frequency
Histogram Analysis
Formulas
Relative Frequency = (Frequency of the Interval) / (Total Frequency)
Total Frequency = Sum of all interval frequencies
Theorems
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Suitable Grade Level
Grades 6-8