Mean, Median and Mode — Quick Reference Cheatsheet
A focused companion to the main Mean, Median and Mode topic page on SAT Math.
SAT Math Problem-Solving & Data Analysis One-page reference
This is a one-page reference for Mean, Median and Mode on the SAT math section. Compute the three centres of a data set and decide which best describes the typical value. Use it as a printable cheatsheet before test day, or as a refresher right before you attempt the worked questions on the main Mean, Median and Mode topic page.
What this topic is
A Mean, Median and Mode question tests your ability to extract data from a table, chart, or word problem and apply ratio, percentage, statistics, or probability reasoning. Reading carefully is more than half the battle.
Core formulas you must memorise
- Mean = sum / count
- Percent change = (new − old) / old × 100%
- Probability = favourable / total
- Conditional: P(A | B) = P(A ∩ B) / P(B)
- Unit rate: divide both quantities by the same denominator
If any of these formulas are not yet automatic, drill them via the Problem-Solving & Data Analysis formula sheet. Memorisation is fastest when you write each formula out by hand five times in a row, then quiz yourself the next morning.
How to spot this question type on the test
SAT questions on Mean, Median and Mode typically present in one of three ways: as a pure symbolic problem ("solve for x"), wrapped in a word problem (a real-world scenario you must translate), or hidden inside a longer multi-step question where Mean, Median and Mode is just the first or last step. Train yourself to recognise the signature — a particular word, equation form, or diagram — and you will halve your reading time.
The 30-second decision
Underline the statistic the question is asking for (mean, median, mode, range, percent change). Half of all PSDA wrong answers come from confusing two statistics with similar names.
If you have 60 seconds before the question
Glance at the answer choices first. If they are widely spaced, estimate; if they are close, you must be exact. Sketch any diagram involved. Identify which of the formulas above applies. Then attempt — and if you cannot finish in 90 seconds, mark and move on. There is no penalty for guessing on either the SAT or the ACT, so always bubble in.
Drill set
Re-attempt the six worked Mean, Median and Mode questions with this cheatsheet open. Then close it and re-attempt them from memory. If you can solve all six without peeking, this topic is locked in.
Related study material
For broader test-prep tactics, see our Mean, Median and Mode strategy guide. For category-wide context, browse all Problem-Solving & Data Analysis topics. For score-targeted study plans, see the score-band guides.