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Device Frequency

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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 |