1. **Stating the problem:**
We are given a histogram showing frequency density of sharks at different depth intervals. We want to find the frequency (number of sharks) between depths 72 m and 100 m.
2. **Understanding frequency density:**
Frequency density is defined as frequency divided by class width:
$$\text{Frequency density} = \frac{\text{Frequency}}{\text{Class width}}$$
3. **Formula to find frequency:**
Rearranging the formula:
$$\text{Frequency} = \text{Frequency density} \times \text{Class width}$$
4. **Identify intervals and frequency densities between 72 m and 100 m:**
- From 70 m to 80 m: frequency density is about 1.5
- From 80 m to 100 m: frequency density is about 0.3
5. **Calculate frequencies for each interval:**
- Interval 70 to 80 m:
Class width = $80 - 70 = 10$ m
Frequency = $1.5 \times 10 = 15$
- Interval 80 to 100 m:
Class width = $100 - 80 = 20$ m
Frequency = $0.3 \times 20 = 6$
6. **Calculate total frequency between 72 m and 100 m:**
Since 72 m is within the 70-80 m interval, we calculate the partial frequency for 72 to 80 m:
- Partial class width = $80 - 72 = 8$ m
- Partial frequency = $1.5 \times 8 = 12$
Add the full frequency for 80 to 100 m:
- Total frequency = $12 + 6 = 18$
**Final answer:**
The estimated number of sharks between depths 72 m and 100 m is **18**.
Frequency Density 620E0C
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