The formula to calculate the Fog Index is:
\[ FI = 0.4 \times \left(\left(\frac{\text{words}}{\text{sentences}}\right) + 100 \times \left(\frac{\text{complexWords}}{\text{words}}\right)\right) \]
Where:
The Fog Index is a readability metric that indicates the number of years of formal education a reader would need to understand a piece of text on first reading. It considers factors such as the average sentence length and the percentage of complex words (those with three or more syllables) in the text. The higher the Fog Index score, the more complex the text is considered to be. This tool is often used by writers and editors to assess the readability of their work.
Let's assume the following values:
Using the formula:
\[ FI = 0.4 \times \left(\left(\frac{500}{25}\right) + 100 \times \left(\frac{50}{500}\right)\right) = 0.4 \times (20 + 10) = 12 \]
The Fog Index is 12.