Example of percentiles
You have started at a company and have hired a secretary at $38,000. Among your company's 123 secretaries, he is the 10th highest paid. His salary is at what percentile?
Solution: The correct answer is 91st percentile.
| Rank | 10th highest of 123 |
|---|---|
| Standing | Maximum minus Ranking 123 - 10 = 113 |
| Percentage |
(Standing divided by Maximum) x 100 (113/123) x 100 (0.9187) x 100 91.87 |
| Percentile | 91st Percentile (Percentages are usually rounded down, especially in test scores.) |
Percentiles are calculated by first dividing the standing by the maximum observations, then multiplying by 100.
Memory Jogger
You are conducting a salary survey of CEO's in the toy manufacturing industry. You find out that your CEO is the 5th highest paid out of 35 CEO's. Her salary is at what percentile?