What sample results let you conclude about a population, how margin of error works, and why sample size changes confidence.
23
Total questions
9
Easy
8
Medium
6
Hard
These questions test statistical literacy: if a random sample of 200 students averages 6.2 hours of sleep with a margin of error of 0.3, what can you plausibly conclude about all students at the school? The math is minimal — the judgment is what's tested.
Two rules answer almost everything. First, conclusions extend only to the population that was actually sampled — a sample of one school says nothing about a whole state. Second, the margin of error brackets a plausible range for the population value (here, 5.9 to 6.5); it does not mean individual students fall in that range, and larger samples shrink it.
Straight from the Grind1600 question bank — try each one before revealing the answer.
Correct answer: D
Choice D is correct. The proportion is 45/60 = 0.75, or 75%. The best estimate is 1,200 × 0.75 = 900.
Correct answer: C
Choice C is correct. If 25% walk to school, then 75% do not. In a class of 28, that's 0.75 × 28 = 21 students. The estimate for the district is 21 × 150 = 3,150. Choice A is the estimate who DO walk. Choice B is half the students. Choice D is the total.
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.
Evaluating Statistical Claims
Judging what a study design supports: random sampling vs. random assignment, causation vs. correlation, and generalizability.
23 Inference & Margin of Error questions with step-by-step explanations, woven into a day-by-day study plan built for your test date.
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