Test a Bounded Aggregate Release Rule
Apply an exercise release policy and recognize a subtraction disclosure.
Supplied materials
- Paper and pencil; an adult may read aloud. No device, account or purchase is needed.
Learn the idea
Publication can reveal more than internal use. For this exercise, a fictional release rule allows a category failure count only if participant count n is at least 5 and the review flag is approved. Otherwise output withheld. The threshold is an invented classroom policy, not a guarantee of anonymity or a legal standard.
Supplied categories: A has n = 8, failures = 3, approved true; B has n = 3, failures = 1, approved true; C has n = 6, failures = 2, approved false. Assume participants are counted once within each category and failures lie between 0 and n. Trace the rule, then consider a disjoint total: publishing A and the combined A+B total can expose withheld B by subtraction.
- Validate that each failure count is between 0 and its participant count.
- Evaluate n ≥ 5 AND approved for each category.
- Output A = 3, B = withheld, C = withheld under the supplied rule.
- For disjoint A and B, compare publishing A = 3 and total A+B = 4; identify that B = 1 can be recovered.
See the method in action
A passes both checks, so release 3. B fails the size check; C fails the review flag. Publishing total A+B = 4 alongside A = 3 reveals B = 4 − 3 = 1 despite withholding its cell. The example needs review of related releases, not just each cell alone.
Check your reasoning
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See the answer and explanation
2
n = 5 satisfies at least 5, and approval is true, so this exercise outputs the failure count 2. Passing this rule does not certify anonymity.
Take it further
Change D’s approval flag to false while keeping n = 5 and failures = 2. Expected output: withheld. No numerical count is released under this rule.
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