24. A city is tracking the amount of material recycled by households each month. The given box plot shows the results. To summarize the findings, the city wants to know which percentage of the households recycled between 120 and 160 lb.
Answer: C
50% of the households recycled between 120 and 160 lb.
The analysis of the box plot indicates that 50% of the households fall within the recycling range of 120 to 160 lb, which is crucial for understanding recycling behaviors in the city.
A) 75%
This option is incorrect because the data represented in the box plot does not support that 75% of households recycled between 120 and 160 lb. The box plot clearly shows that a smaller percentage is within this specific range.
B) 100%
This option is incorrect as it implies that all households recycled between 120 and 160 lb, which is not the case according to the box plot. The data indicates that only a specific segment of households falls within this weight range.
C) 50%
This option is correct since the box plot reveals that exactly 50% of the households recycled between 120 and 160 lb. This conclusion is drawn from the middle section of the box plot, which represents the interquartile range.
D) 25%
This option is incorrect because it underestimates the percentage of households recycling within the specified range. The box plot demonstrates a higher percentage than 25%, confirming a greater involvement in recycling between 120 and 160 lb.
Conclusion
The correct answer is 50% because it accurately reflects the data presented in the box plot regarding household recycling rates. The other options either overestimate or underestimate the percentage, failing to align with the visual data representation. Thus, understanding the distribution of recycling behaviors is essential for effective waste management initiatives in the city.