Math Problem Statement
Solution
The question asks for the frequency of times the limit was exceeded by more than 1 item.
Looking at the histogram:
- The x-axis represents the number of items over the limit (in intervals), and the y-axis shows the frequency for each interval.
- The first bar (centered at 0.5) corresponds to violations where customers exceeded the limit by less than or equal to 1 item.
- Therefore, we are interested in all bars where the number of items exceeded the limit by more than 1 item, which corresponds to the bars centered at 1.5, 2.5, 3.5, 4.5, 5.5, and 6.5.
To find the total frequency:
- For the bar at 1.5, the frequency is 7.
- For the bar at 2.5, the frequency is 10.
- For the bar at 3.5, the frequency is 9.
- For the bar at 4.5, the frequency is 12.
- For the bar at 5.5, the frequency is 7.
- For the bar at 6.5, the frequency is 5.
Summing these values gives:
7 + 10 + 9 + 12 + 7 + 5 = 50.
Thus, the frequency of times the limit was exceeded by more than 1 item is 50.
Would you like further clarification or details? Here are 5 follow-up questions you could consider:
- How is frequency related to histograms in general?
- Can you explain why the first bar is excluded from the count?
- What if the question asked for violations exceeding 3 items?
- How would the graph change if fewer violations occurred?
- What other types of data can be represented in histograms?
Tip: When reading histograms, always check both the x-axis intervals and y-axis frequency to ensure accurate interpretation!
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Math Problem Analysis
Mathematical Concepts
Data Analysis
Histograms
Frequency Distribution
Formulas
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Theorems
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Suitable Grade Level
Grades 6-9
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