Answer:
Percentile Ranks:
Percentile ranks indicate the percentage of scores in a distribution that are equal to or below a particular score. For example, if someone is in the 75th percentile, it means their score is higher than 75% of the scores in the distribution.
Obtaining Percentile Scaled Scores:
1. Sort Scores: Arrange all scores in ascending or descending order.
2. Calculate Percentile Rank: Determine the percentage of scores below a given score using the formula: Number of scores below the given score} {Total number of scores} \times 100
Now, let's apply this to your example:
1. **Sorted Scores:** 1, 2, 3, 4, 5, 5, 6, 7, 8, 9
2. **Percentile Ranks:**
- Candidate D (rank 1): {0}{10} \times 100 = 0\%
- Candidate B (rank 2): {1}{10} \times 100 = 10\%
- Candidate I (rank 3): 2}{10} \times 100 = 20\%
- Candidate C (rank 4): {3}{10} \times 100 = 30\%
- Candidates E and H (ranks 5 and 5): {4}{10} \times 100 = 40\%
- Candidate J (rank 6): {5}{10} \times 100 = 50\%
- Candidate F (rank 7): {6}{10} \times 100 = 60\%
- Candidate A (rank 8): 7}{10} \times 100 = 70\%
- Candidate G (rank 9) {8}{10} \times 100 = 80\%
**Descending Order of Percentile Ranks:**
1. Candidate G (80%)
2. Candidate A (70%)
3. Candidate F (60%)
4. Candidate J (50%)
5. Candidates E and H (40%)
6. Candidate C (30%)
7. Candidate I (20%)
8. Candidate B (10%)
9. Candidate D (0%)
