To compute the average rating, we can assign a numerical value to each rating category. Let's say we assign the following values:
- Excellent: 4
- Good: 3
- Basic: 2
Now, we can calculate the total rating score by multiplying the count of each rating category by its assigned value:
Total rating score = (15 * 4) + (10 * 3) + (6 * 2) = 60 + 30 + 12 = 102
Since we have 31 headcounts equivalent to 100%, we can calculate the rating average by dividing the total rating score by the maximum possible rating score (31 * 4, as the highest rating is excellent):
Rating average = Total rating score / (31 * 4) = 102 / 124 = 0.8226
To account for the weightage of 75%, we multiply the rating average by 0.75:
Weighted rating average = Rating average * 0.75 = 0.8226 * 0.75 = 0.617
So, in this example, the weighted average rating would be 0.617.