Master SAT Data Analysis.
Statistics, rates & tables.
Problem-Solving & Data Analysis tests quantitative reasoning in science, social studies, and commerce. Master percent changes, two-way probability tables, standard deviation comparisons, and linear scatterplot fits.
Core Problem-Solving Subtopics
Click any topic to explore probability tables, percentage formulas, and sampling bias rules.
Ratios, Rates & Unit Conversions
Dimensional analysis, scale factors, proportional relationships, and converting complex units (e.g. m/s to miles/hr).
a / b = c / dPercentages & Percent Change
Percent increase/decrease multipliers, original price reverse calculation, and successive percentage changes.
% Change = (New - Old)/Old × 100Mean, Median & Standard Deviation
How outliers skew mean vs median, comparing spread with standard deviation, box plots, and frequency histograms.
Mean = Σx / n · Spread = SDTwo-Way Tables & Conditional Probability
Calculating conditional probability $P(A|B)$ by restricting the sample denominator to a specific row or column condition.
P(A|B) = P(A ∩ B) / P(B)Scatterplots & Trend Lines
Interpreting slope and intercept of regression lines, predicting values, and comparing model estimates with actual data points.
ŷ = ax + b · Residual = y - ŷMargin of Error & Sample Studies
Understanding random sampling, generalizing to population vs cause-and-effect in controlled experiments, and error bounds.
Confidence Interval = Estimate ± MoEInstant Linear & Exponential Regression with Tables
When an SAT question provides data points and asks for the line of best fit, enter the points into a Desmos table and type `y₁ ~ mx₁ + b`. Desmos calculates the exact slope `m` and intercept `b` instantly.
Explore Full Desmos Guide →