Subjects statistics

Median Life Span 3780D0

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Question: The histogram shows life spans of 17 common animals. Which of the statements is true? Animal life spans Number of animals 8 6 4 2 0 1-6 7-12 13-18 19-24 25-30 31-36 37-42 Life span, years Choose 1 answer: A The median life span is 10 years. B The median life span is 12 years. C The median life span is 13 years D The median life span is between 7 and 12 years.
1. **State the problem:** We have a histogram showing life spans of 17 animals divided into bins: 1-6, 7-12, 13-18, 19-24, 25-30, 31-36, and 37-42 years. We need to find the median life span and determine which statement is true. 2. **Understand the median:** The median is the middle value when data is ordered. Since there are 17 animals, the median is the $\frac{17+1}{2} = 9^{th}$ animal in order. 3. **Analyze the histogram data:** From the histogram description: - 1-6 years bin: 2 animals - 7-12 years bin: 6 animals - 13-18 years bin: 4 animals - 19-24 years bin: 3 animals - 25-30 years bin: 1 animal - 31-36 years bin: 1 animal - 37-42 years bin: 0 animals 4. **Find the 9th animal:** - Animals 1 to 2 are in 1-6 years. - Animals 3 to 8 are in 7-12 years. - Animals 9 to 12 are in 13-18 years. The 9th animal falls in the 13-18 years bin. 5. **Conclusion:** The median life span is in the 13-18 years range, so the median is at least 13 years. **Answer:** C The median life span is 13 years.