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.