1. **State the problem:** We have a survey of 400 students about where they keep their phones while sleeping. We need to find: (a) The percentage of students who keep their phone in their bedroom. (b) The number of students who keep their phone in another room. (c) Whether the data is numerical or categorical. (d) Complete the table with percentages, numbers, and angles for each category. 2. **Given data:** - Other: 2% - In another room: 8% - Under my pillow: 35% - In my bedroom: 55% - Total students: 400 3. **Formulas and rules:** - To find the number of students in a category: $$\text{Number} = \frac{\text{Percentage}}{100} \times \text{Total students}$$ - To find the angle in the pie chart sector: $$\text{Angle} = \frac{\text{Percentage}}{100} \times 360^\circ$$ 4. **Solve (a):** The percentage of students who kept their phone in their bedroom is given as 55%. 5. **Solve (b):** Calculate the number of students who kept their phone in another room: $$\text{Number} = \frac{8}{100} \times 400 = 32$$ 6. **Solve (c):** The survey generated **categorical data** because it classifies students into categories based on phone location, not numerical measurements. 7. **Solve (d):** - Percentage for "Other" is 2% (given). - Number for "Other": $$\frac{2}{100} \times 400 = 8$$ - Angle for "Other": $$\frac{2}{100} \times 360^\circ = 7.2^\circ$$ Calculate missing values for "Another room": - Percentage: 8% (given) - Number: $$\frac{8}{100} \times 400 = 32$$ - Angle: $$\frac{8}{100} \times 360^\circ = 28.8^\circ$$ Calculate missing values for "Under my pillow": - Percentage: 35% (given) - Number: $$\frac{35}{100} \times 400 = 140$$ - Angle: $$\frac{35}{100} \times 360^\circ = 126^\circ$$ Calculate missing values for "In my bedroom": - Percentage: 55% (given) - Number: $$\frac{55}{100} \times 400 = 220$$ - Angle: $$\frac{55}{100} \times 360^\circ = 198^\circ$$ **Completed table:** | Another room | Under my pillow | In my bedroom | Other | |--------------|-----------------|---------------|-------| | Percentage | 8% | 35% | 55% | 2% | | Number | 32 | 140 | 220 | 8 | | Angle in the sector | 28.8° | 126° | 198° | 7.2° |