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The table represents the results of the annual performance appraisal in a company. Each individual’s performance is rated on a scale of 1 - 20 and it is represented in the table under parameters like designation and experience.
For example, 6 managers with an experience of 2 years, got an appraisal in the range from 12 - 14 with at least one of them getting a 12 and one of them getting a 14. Answer following three questions based on this table
With 1 year of experience from 6 managers, one will have an appraisal score of 17 other five can have a score equal to 15.
=> Total score = 15*5+17 = 92
With 2 years of experience from 6 managers, one will have an appraisal score of 14 other five can have a score equal to 12.
=> Total score = 12*5+14 = 74
With 3 years of experience from 10 managers, one will have an appraisal score of 12 other nine can have a score equal to 10.
=> Total score = 10*9+12 = 102
With 4 years of experience from 5 managers, one will have an appraisal score of 13 other four can have a score equal to 10.
=> Total score = 10*4+13 = 53
Total score of all managers = 92+74+102+53 = 321
Total number of managers = 27
Therefore, the minimum average appraisal score for all the managers in the company = $$\ \frac{321}{27}$$ = 11.89
The answer is option A.
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