Mean, median, mode, range, and standard deviation — and how outliers or skew change them — read from lists, tables, and frequency plots.
41
Total questions
14
Easy
16
Medium
11
Hard
These questions test mean, median, mode, range, and standard deviation as concepts, not just calculations: how does removing an outlier move the mean vs. the median? Which of two dot plots has a larger standard deviation? What's the median when data is given as a frequency table?
Know the behavioral rules: the mean chases outliers, the median resists them; skewed-right data pulls the mean above the median; standard deviation is about spread from the mean, not the height of bars. For frequency tables, find the median by counting positions — with 25 values, the 13th value in order is the median.
Straight from the Grind1600 question bank — try each one before revealing the answer.
Correct answer: D
Choice D is correct. The maximum value is 31 and the minimum is 8, so the range is 31 − 8 = 23.
Choice A is incorrect. This is the minimum value in the set, not the difference between the extremes.
Choice B is incorrect. This is one of the values in the set, not the range.
Choice C is incorrect. This is the maximum value rather than the difference.
Correct answer: A
Choice A is correct. The 11 scores sum to 872, giving a mean of about 79.3, and the median is the 6th value, 78. Removing 95 leaves 10 values summing to 777, a mean of 77.7, while the median becomes the average of the 5th and 6th values, (78 + 78)/2 = 78. The mean falls and the median is unchanged.
Choice B is incorrect. The mean does change, dropping from about 79.3 to 77.7, and the median does not.
Choice C is incorrect. The median stays at 78 because the two central values after removal are both 78.
Choice D is incorrect. The median neither rises nor falls; it remains 78.
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.
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.
Evaluating Statistical Claims
Judging what a study design supports: random sampling vs. random assignment, causation vs. correlation, and generalizability.
41 Data Distributions & Measures of Center questions with step-by-step explanations, woven into a day-by-day study plan built for your test date.
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