Quantitative Methods Q115
115The following table shows the earnings per share (EPS) of 20 hypothetical companies.
| Company | EPS | Company | EPS |
| AB | $4.50 | AAA | $13.22 |
| CDE | $14.50 | BBB | $13.25 |
| FG | $9.33 | CCC | $12.98 |
| HIJ | $7.21 | DDD | $11.54 |
| KLM | $6.44 | EEE | $11.73 |
| NO | $6.99 | FFF | $15.00 |
| PQR | $6.27 | GGG | $10.49 |
| STU | $8.11 | HHH | $5.78 |
| VWX | $5.25 | III | $6.50 |
| YZ | $12.15 | JJJ | $4.75 |
The 30th percentile is closest to:
- Option : A
- Explanation : The 30th percentile is the value at or below which 30 percent of observations lie. To solve this problem, we first arrange the 20 data points in ascending order: 4.50, 4.75, 5.25, 5.78, 6.29, 6.44, 6.50, 6.99, 7.21, 8.11, 9.33, 10.49, 11.54, 11.73, 12.15, 12.98, 13.22, 13.25, 14.50, and 15.00. The location of the 30th percentile is 30% of 20 = 6. The 6th data point is 6.44. The two numbers (6.44 and 6.46) are different because the percentile calculations using the location formula gives an approximate answer when n is small.
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