Comparing Distributions

Comparing Distributions is topic 1.8 of AP Statistics, inside Exploring One-Variable Data. This page works through three real practice questions on it, with the full reasoning behind each credited answer.

Practise this topic freeThe whole unit
160 questionsUsing Probability and Simulation100% with a figure
Worked examples

Three real comparing distributions questions

From the practice pool, not the mock papers — each with the reasoning that produces the answer.

160 practice questions sit on this single topic — enough that it is worth working through by topic rather than meeting it scattered through a unit review.

100% of them come with a figure. Reading the graph or diagram correctly is most of the work here before any content knowledge applies.

Data Analysis · with figure

For farm stand cooperative delta cycle, Q1 for cashless payment use is 10 and Q3 is 17. Which interpretation of the IQR is correct?

  1. AQ3 minus the median, which measures only the upper half of the box instead of the IQR
  2. BThe full range is always 7.
  3. CThe middle 50% of cashless payment use values span 7 units.correct
  4. DExactly 7 shoppers were measured.
  5. EThe mean cashless payment use is 7.
Why C is correct

The IQR is 17 - 10 = 7, describing the spread of the middle 50% of cashless payment use values.

IQR interpretation for farm stand cooperative delta cycle: the important cue is the farm stand cooperative delta cycle setting. Match the method to the way the data are collected or the statistic is computed, then state the conclusion in the language of the stem.

Data Analysis · with figure

For regional tutoring network delta cycle, Q1 for online session attendance is 14 and Q3 is 25. Which interpretation of the IQR is correct?

  1. AExactly 11 learners were measured.
  2. BThe middle 50% of online session attendance values span 11 units.correct
  3. CThe mean online session attendance is 11.
  4. DQ3 minus the median, which measures only the upper half of the box instead of the IQR
  5. EThe full range is always 11.
Why B is correct

The IQR is 25 - 14 = 11, describing the spread of the middle 50% of online session attendance values.

IQR interpretation for regional tutoring network delta cycle: the important cue is the regional tutoring network delta cycle setting. Match the method to the way the data are collected or the statistic is computed, then state the conclusion in the language of the stem.

Data Analysis · with figure

For blood-drive scheduler delta cycle, Q1 for appointment completion is 18 and Q3 is 28. Which interpretation of the IQR is correct?

  1. AThe middle 50% of appointment completion values span 10 units.correct
  2. BExactly 10 donors were measured.
  3. CQ3 minus the median, which measures only the upper half of the box instead of the IQR
  4. DThe mean appointment completion is 10.
  5. EThe full range is always 10.
Why A is correct

The IQR is 28 - 18 = 10, describing the spread of the middle 50% of appointment completion values.

IQR interpretation for blood-drive scheduler delta cycle: the important cue is the blood-drive scheduler delta cycle setting. Match the method to the way the data are collected or the statistic is computed, then state the conclusion in the language of the stem.

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Last reviewed 2026-08-28. Topic and unit names follow the College Board course framework. Question counts describe the PrepScore practice bank, not the exam.
Same unit
Summary Statistics for a Quantitative Variable105 questionsDescribing the Distribution of a Quantitative Variable92 questionsNormal Distributions92 questions

Work comparing distributions until the reasoning is automatic.

Real AP questions with a full explanation on every answer, and a mistake bank that only clears when you get it right.

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