Grade 12 · lesson 4 of 4

Test a Bounded Aggregate Release Rule

Apply an exercise release policy and recognize a subtraction disclosure.

Download the grade pack

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.

  1. Validate that each failure count is between 0 and its participant count.
  2. Evaluate n ≥ 5 AND approved for each category.
  3. Output A = 3, B = withheld, C = withheld under the supplied rule.
  4. For disjoint A and B, compare publishing A = 3 and total A+B = 4; identify that B = 1 can be recovered.
Worked example

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.

Your turn

Check your reasoning

Your answer is temporary and is not saved to an account. Download your current answer before leaving or reloading. Written work on paper or in another app stays in your own file.

Category D has n = 5, failures = 2, approved true. What does the supplied rule output?

Feedback appears here after you check. This is practice, not a graded school assessment.

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.

Nothing here is saved to an account or sent to a teacher. The answer download includes your current choice and any checked feedback.

Check the subject sources

These LifeStarter passages, scenarios and exercises are authored for this Academy with AI assistance and review. External resources keep their publishers’ terms. A grade label suggests a starting level; it does not establish alignment with your school’s complete requirements.