Device Frequency
1. Stating the problem: We are asked to organize given device access data into a frequency table including Device type, Tally, Frequency, and Relative frequency (%).
2. First, write down the device types and their frequencies:
Smartphone: 11
Laptop: 11
Tablet: 5
Desktop computer: 5
No device: 5
Shared device: 3
3. Calculate the total number of entries:
$$11 + 11 + 5 + 5 + 5 + 3 = 40$$
4. For tally marks, each frequency can be represented by groups of five tallies. For example, 11 is two groups of five plus one.
5. Calculate the relative frequency (%) for each type by
$$\text{Relative frequency} = \left(\frac{\text{Frequency}}{\text{Total}}\right) \times 100$$
Calculations:
- Smartphone: $$\frac{11}{40} \times 100 = 27.5\%$$
- Laptop: $$\frac{11}{40} \times 100 = 27.5\%$$
- Tablet: $$\frac{5}{40} \times 100 = 12.5\%$$
- Desktop computer: $$\frac{5}{40} \times 100 = 12.5\%$$
- No device: $$\frac{5}{40} \times 100 = 12.5\%$$
- Shared device: $$\frac{3}{40} \times 100 = 7.5\%$$
6. The frequency table:
| Device type | Tally | Frequency | Relative frequency (%) |
|-------------------|-------------|-----------|------------------------|
| Smartphone | ||||| |||| | 11 | 27.5 |
| Laptop | ||||| |||| | 11 | 27.5 |
| Tablet | ||||| | 5 | 12.5 |
| Desktop computer | ||||| | 5 | 12.5 |
| No device | ||||| | 5 | 12.5 |
| Shared device | ||| | 3 | 7.5 |