1. **Stating the problem:** We have a cumulative frequency curve showing the lengths of fish measured, with a total of 16 fish. 2. **Understanding cumulative frequency:** Cumulative frequency at a given length tells us how many fish have lengths less than or equal to that value. 3. **Interpreting the graph points:** From the description: - At length 0, cumulative frequency is 0. - At length 10, cumulative frequency is about 4. - At length 25, cumulative frequency is about 14. - At length 40, cumulative frequency is about 18 (though total fish is 16, so this might be an approximation). 4. **Using cumulative frequency to find frequency in intervals:** Frequency in an interval is the difference between cumulative frequencies at the interval's endpoints. 5. **Calculating frequencies:** - Between 0 and 10 inches: $4 - 0 = 4$ fish - Between 10 and 25 inches: $14 - 4 = 10$ fish - Between 25 and 40 inches: $16 - 14 = 2$ fish (adjusted to total 16) 6. **Summary:** The fish lengths are distributed as 4 fish up to 10 inches, 10 fish between 10 and 25 inches, and 2 fish between 25 and 40 inches. This analysis helps understand the distribution of fish lengths from the cumulative frequency curve.