What is Percentage to Frequency Conversion?
Converting percentages to frequencies transforms relative proportions into absolute counts. This helps make statistics more concrete and understandable by showing actual numbers rather than percentages.
How to Calculate Frequency from Percentage
The formula is:
[\text{Frequency} = \frac{\text{Percentage} \times \text{Total}}{100}]
Or equivalently:
[\text{Frequency} = \text{Percentage as Decimal} \times \text{Total}]
Calculation Example
If 35% of 500 survey respondents chose a particular option:
[\text{Frequency} = \frac{35 \times 500}{100} = 175 \text{ respondents}]
175 people selected that option.
Applications
Survey Analysis
Convert percentage responses to actual number of respondents for clearer understanding.
Quality Control
Translate defect percentages to actual number of defective items.
Demographics
Convert population percentages to actual population counts.
Research
Transform percentage-based findings to absolute frequencies for reporting.
Conversion Table Example
For a sample size of 1000:
| Percentage | Frequency |
|---|---|
| 5% | 50 |
| 10% | 100 |
| 25% | 250 |
| 50% | 500 |
| 75% | 750 |