SAT Problem-Solving and Data Analysis Quizzes
Practice 10 SAT Problem-Solving and Data Analysis questions involving ratios, rates, percentages, units, probability, data distributions, scatterplots, sampling, inference, and evaluating statistical claims. Use hints when needed and review the explanation after each answer.
A car travels 315 miles using 10.5 gallons of fuel. At the same rate, how many gallons are needed to travel 450 miles?
A laboratory solution has a mass of 2.4 kilograms. What is its mass in grams?
A jacket price increases from $80 to $94. What is the percent increase?
A bag contains 6 red, 5 blue, and 4 green marbles. If one marble is selected at random, what is the probability that it is not green?
The data set 12, 14, 14, 15, 16, 18, 31 has one high outlier. Which measure of center is most resistant to the outlier?
A scatterplot shows a strong negative association between x and y. Which statement best describes the relationship?
A survey of 400 randomly selected students at a large high school finds that 46% prefer a later start time. Which conclusion is most appropriate?
A study finds that students who report more hours of sleep also tend to have higher test scores. Which statement is justified by this result alone?
Two classes have the same mean test score of 82. Class A has a standard deviation of 3, and Class B has a standard deviation of 9. Which statement is true?
Your result
You answered 0 out of 10 questions correctly.
Problem-Solving and Data Analysis connects arithmetic to real data, units, probability, and statistical reasoning
These 10 questions practice ratios, rates, unit conversion, percentages, probability, measures of center and spread, scatterplots, random sampling, inference, and evaluating statistical claims. The emphasis is on interpreting what a number means in context, not merely computing it.
SAT ratio problems reward normalization: reduce the relationship to one unit, then scale
Ratio scaling
A 5:2 flour-to-sugar ratio becomes easier once the sugar scale factor is known.
Unit rate
Fuel problems are often shortest when converted to miles per gallon first.
Units are part of the calculation
Percent change uses the original value as the base
For a price increase from $80 to $94, the $14 change is compared with $80, not $94.
A probability is favorable outcomes divided by all possible outcomes in the model
With 15 marbles total and 4 green, there are 11 outcomes that are not green.
Center and spread answer different questions about a data set
The median is less affected by a very large observation than the mean.
If two groups have the same mean, the larger standard deviation indicates greater spread around that mean.
Association describes a pattern; it does not prove a cause
A strong negative association means that larger x-values tend to occur with smaller y-values. It does not mean x necessarily causes y to decrease.
The sample design determines how far a conclusion can reasonably be generalized
A valid statistical statement must match the design of the study
Students who report more sleep also tend to have higher test scores. This describes an association.
More sleep causes higher test scores. A causal claim needs stronger study design than an observed association.