Summarize :While the mean is 75.5, the standard deviation is quite high (19.57) and the minimum score is very low (18), indicating skewness or the presence of outliers. The median (80.5) better reflects the central tendency of most trainees' performance because extreme scores less influence it. In this case, the median gives a more accurate trainee score.

Score Thresholds: Completion, Remediation, Termination

Based on the five-number summary and standard deviation:

• Completion (Pass): 80 and above
• Reasoning: The median is 80.5, and Q3 is 87, indicating that top-performing trainees generally score in this range. This shows solid understanding.
• Remediation: 67.75 to <80
• Reasoning: This range falls between Q1 and the median, suggesting the trainees here are below average but not significantly underperforming.
• Termination: Below 67.75
• Reasoning: Scores below Q1 (67.75) are substantially lower than the rest of the group and may indicate insufficient grasp of key concepts. The minimum score is 18, highlighting the performance gap. These individuals might not benefit from continued training.

3. Should These Thresholds Apply to All Training Classes?

No, not necessarily.

Training cohorts can vary in background, difficulty of test versions, and even instructor effectiveness. Applying a fixed threshold could be unfair or misrepresentative. Instead, it's best to:

• Use relative performance metrics (like quartiles) for each class,
• Benchmark against historical trends,
• And consider consistency in scoring patterns before finalizing thresholds.

Customizing thresholds per cohort ensures fairness and aligns with the real-time performance distribution of trainees.