The Scholarship Shortlist Dispute
A school must award 3 scholarships from 10 applicants. The rules say awards go to the highest total scores, but a tie-breaker gives priority to applicants from low-income households when scores are within 2 points. Scores: A=91 (low-income), B=90, C=90 (low-income), D=89, E=88 (low-income), F=88, G=87, H=86, I=85, J=84. Only A, C, and E are low-income. A teacher argues the top three by raw score are A, B, C, so the tie-breaker should not change anything. A parent argues E should replace B because E is low-income and within 2 points of B. The committee must decide and document its reasoning.
1. Apply the stated rules precisely. Who should receive the three awards?
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Step 1 - rank by score: A=91, B=90, C=90, D=89, E=88, F=88, ...
Step 2 - identify ties/near-ties: B and C tie at 90. E (88) is within 2 points of B (90) and C (90) - exactly 2, which the rule includes.
Step 3 - apply the tie-breaker: where scores are within 2 points, low-income applicants get priority. C is low-income and ties B at 90, so C ranks ahead of B. E is low-income and within 2 of B and C, so E is also promoted relative to B.
Result: A (91, clear top), then C (90, low-income, beats B on tie), then E (88, low-income, within 2 of B/C, promoted). B drops out.
So the awards go to A, C, and E. The teacher's claim that the tie-breaker changes nothing is wrong: it changes the third award from B to E.
2. The parent says E should replace B. Is the parent's reasoning correct even if the outcome matches?
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The outcome matches but the reasoning is loose. The parent says E should replace B because E is low-income. Low-income status alone is not a criterion - the rule only applies it as a tie-breaker when scores are within 2 points.
E's score is 88, B's is 90: a gap of exactly 2, which the rule covers ("within 2 points"). So the promotion is valid, but for the precise reason that the gap is within the threshold, not merely because E is low-income.
Why this matters: if E had scored 87 (gap of 3), the same argument would fail. A committee that accepts "low-income wins" as a general principle would misapply the rule in future cases. Correct process requires stating the threshold test explicitly, even when the conclusion is right.
3. A committee member proposes ignoring the tie-breaker to keep B, arguing B's higher score is fairer. How should the committee respond?
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The committee should follow the written rule unless it formally amends it. The rule already encodes a fairness judgement: within 2 points, low-income priority is treated as the fairer outcome. Overriding it ad hoc for one case creates inconsistency and invites appeals.
If a member believes raw score should dominate, the correct route is to propose a rule change for future cycles, with reasons, not to set the rule aside now. Applying a different standard to B than to future applicants is the unfairness, not the tie-breaker.
Document the decision: A, C, E awarded; B first reserve; the reasoning recorded as "E within 2-point threshold of B, low-income priority applied." This protects the committee and gives B a clear, rule-based explanation.