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SAT Prep / Problem-Solving & Data Analysis / Evaluating Statistical Claims
SAT Math · Problem-Solving & Data Analysis

Evaluating Statistical ClaimsHow the SAT tests it — and how to beat it

Judging what a study design supports: random sampling vs. random assignment, causation vs. correlation, and generalizability.

Practice Evaluating Statistical Claims FreeAll of Problem-Solving & Data Analysis

Evaluating Statistical Claims in Our Question Bank

21

Total questions

8

Easy

8

Medium

5

Hard

What the SAT Actually Tests

These questions describe how a study was run and ask what conclusion the design supports. The two levers are random selection (lets you generalize to the population) and random assignment to treatment groups (lets you claim cause and effect). Each is independent of the other.

Build the two-question habit: Were subjects randomly selected? If not, conclusions don't generalize beyond the participants. Were treatments randomly assigned? If not, the study can show association but never causation. An observational study — however large — cannot support a causal claim; only a randomized experiment can.

Real Evaluating Statistical Claims Practice Questions

Straight from the Grind1600 question bank — try each one before revealing the answer.

Question 1easy
To determine the mean number of pets per household in a neighborhood, Marcus surveyed 15 families at a veterinary clinic. For the 15 families surveyed, the mean number of pets was 3.2. Which of the following statements must be true?
  • A)The mean number of pets per household in the neighborhood is 3.2.
  • B)A determination should not be made because the sample size is too small.
  • C)The sampling method is not flawed and is likely to produce an unbiased estimate.
  • D)The sampling method is flawed and may produce a biased estimate.
Show answer & explanation

Correct answer: D

Choice D is correct. Families at a veterinary clinic are more likely to have pets than the general neighborhood population. The sample is not representative, so the method is flawed and may produce a biased estimate.

Question 2medium
A polling agency surveyed 500 adults selected at random from a large city and asked, 'Are you satisfied with the public transportation system?' Of those surveyed, 62 percent said yes. Based on the results, which of the following statements must be true? I. Of all adults in the city, 62 percent are satisfied with the public transportation system. II. If another 500 adults selected at random from the city were surveyed, 62 percent of them would say yes. III. If 500 adults from a different city were surveyed, 62 percent would say yes.
  • A)None
  • B)I only
  • C)I and II only
  • D)I, II, and III
Show answer & explanation

Correct answer: A

Choice A is correct. Statement I need not be true because a sample does not guarantee the exact same percentage as the full population. Statement II need not be true because different random samples can produce different results. Statement III need not be true for the same reason, especially from a different city.

Traps to Avoid

  • Accepting a cause-and-effect conclusion from an observational study because the sample was large.
  • Conflating random selection with random assignment — they justify different conclusions.
  • Generalizing volunteer-based results to the whole population.

More Problem-Solving & Data Analysis Skills

Ratios, Rates & Units

Setting up proportions, converting units, and reasoning with rates — the most common word-problem machinery on the SAT Math section.

Percentages

Percent change, percent of a quantity, reverse-percentage problems, and multi-step percent scenarios like tax-plus-discount.

Data Distributions & Measures of Center

Mean, median, mode, range, and standard deviation — and how outliers or skew change them — read from lists, tables, and frequency plots.

Scatterplots & Two-Variable Data

Reading scatterplots, lines of best fit, interpreting slope in context, and distinguishing linear from exponential association.

Probability

One-event and conditional probability, usually read out of two-way frequency tables — the key is identifying the correct restricted group.

Inference & Margin of Error

What sample results let you conclude about a population, how margin of error works, and why sample size changes confidence.

Master Evaluating Statistical Claims With Adaptive Practice

21 Evaluating Statistical Claims questions with step-by-step explanations, woven into a day-by-day study plan built for your test date.

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