Math Problem Statement
Solution
Based on the uploaded image, here are the answers to each part:
Step 1: Total Number of Students in the Class
From the histogram:
- 1–3 hours: 2 students
- 4–6 hours: 9 students
- 7–9 hours: 6 students
- 10–12 hours: 2 students
Total number of students: So, there are 19 students in the class.
Step 2: Relative Frequency Calculations
The relative frequency is found by dividing the frequency of each category by the total number of students (19).
a. Relative frequency of students who watch 1 to 3 hours of TV
b. Relative frequency of students who watch 7 or more hours of TV
For students who watch 7 or more hours, we sum the students in the 7–9 and 10–12 hour intervals:
Summary of Answers:
- Total students in the class: 19
- Relative frequency of students who watch 1 to 3 hours of TV: approximately 0.105
- Relative frequency of students who watch 7 or more hours of TV: approximately 0.421
Would you like further details or explanations?
Here are five related questions to deepen your understanding:
- What is the relative frequency of students who watch 4–6 hours of TV?
- How would the relative frequencies change if one more student joined each interval?
- What is the cumulative frequency of students who watch up to 6 hours of TV?
- How does increasing the total number of students affect individual relative frequencies?
- If one more student is added to the 1–3 hours interval, how does that affect the relative frequency for that interval?
Tip: Calculating relative frequency helps understand the proportion of each category within a dataset, useful for probability and comparison across groups.
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Math Problem Analysis
Mathematical Concepts
Statistics
Relative Frequency
Histogram Analysis
Formulas
Relative Frequency = Frequency of Category / Total Frequency
Theorems
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Suitable Grade Level
Grades 7-9
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