1. **State the problem:** We are given a survey of 750 people and the frequencies of their favourite ice cream flavours. 2. The frequencies are Vanilla: 262, Chocolate: 417, Strawberry: 70, Bubblegum: 1. 3. We want to find the central angle of the bubblegum section in a pie chart. 4. The total number of people is $750$. 5. The formula for the central angle of a pie chart section is: $$\text{Central angle} = \left( \frac{\text{Frequency}}{\text{Total}} \right) \times 360^{\circ}$$ 6. Substitute the bubblegum frequency into the formula: $$\text{Central angle} = \left( \frac{1}{750} \right) \times 360^{\circ} = \frac{360}{750} = 0.48^{\circ}$$ 7. Thus, the central angle of the bubblegum section is $0.48^{\circ}$. Final answer: $0.48$ degrees.