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SAT (Scholastic Assessment Test) Math: Problem-Solving and Data Analysis Flashcards
50 question-and-answer cards covering Math: Problem-Solving and Data Analysis as it is examined in SAT (Scholastic Assessment Test). 24 of them are printed below, taken from across the deck — no signup, no paywall on the preview.
24 sample cards from the Math: Problem-Solving and Data Analysis deck
Sampled from the end of the deck, so these are different cards from the ones shown on the syllabus page.
What is the range of a data set and what does it measure?
Range = maximum value − minimum value. It is a simple measure of spread (total variability).
What does standard deviation measure, and what does a larger value indicate?
Standard deviation measures how spread out values are around the mean. A larger standard deviation means the data are more spread out (greater variability).
What is the difference between a measure of center and a measure of spread?
A measure of center (mean, median, mode) describes a typical value; a measure of spread (range, standard deviation, IQR) describes how dispersed the values are.
What is an outlier?
An outlier is a data value that is much larger or much smaller than the other values in the set.
Why is the median often preferred over the mean for skewed data or data with outliers?
The median is resistant to outliers and skew, so it better represents the typical value, while the mean is pulled toward extreme values.
How does adding a single very large outlier to a data set affect the mean and the range?
It increases (pulls up) the mean and increases the range, since both depend on extreme values.
If the same constant is added to every value in a data set, how do the mean and the standard deviation change?
The mean increases by that constant; the standard deviation (spread) is unchanged.
In a histogram, what do the horizontal axis and the bar heights represent?
The horizontal axis shows intervals (bins) of a numerical variable, and bar heights show the frequency (count) of values in each interval.
What does a scatterplot show, and what does its line of best fit represent?
A scatterplot shows the relationship between two quantitative variables. The line of best fit models the trend, predicting y from x; its slope is the predicted change in y per unit change in x.
In a box plot, what five values are displayed?
The five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.
What is the interquartile range (IQR) and how is it found?
IQR = Q3 − Q1. It is the spread of the middle 50% of the data and is resistant to outliers.
When comparing two data sets, which statistics compare center versus spread?
Compare centers using mean or median; compare spread (consistency) using range, IQR, or standard deviation.
If two data sets have the same mean but different standard deviations, what does that tell you?
They have the same typical value, but the set with the larger standard deviation is more spread out (less consistent).
What is the basic formula for the probability of a single event?
P(event) = (number of favorable outcomes) / (total number of equally likely outcomes).
What is the range of possible probability values, and what do 0 and 1 mean?
Probabilities range from 0 to 1. P = 0 means impossible; P = 1 means certain.
How do you find the probability that an event does NOT happen (complement)?
P(not A) = 1 − P(A).
For independent events A and B, how do you find P(A and B)?
Multiply the probabilities: P(A and B) = P(A) × P(B).
For mutually exclusive events A and B, how do you find P(A or B)?
Add the probabilities: P(A or B) = P(A) + P(B), since they cannot occur together.
What is the general addition rule for P(A or B) when events can overlap?
P(A or B) = P(A) + P(B) − P(A and B), subtracting the overlap counted twice.
What is a sample statistic versus a population parameter?
A statistic is a numerical summary computed from a sample (e.g., sample mean); a parameter is the corresponding true value for the whole population.
What is required for a sample to allow valid generalization to a population?
The sample must be randomly selected (representative) from the population; random selection allows results to be generalized.
What does a margin of error indicate in a sample estimate?
It gives the range above and below the sample estimate within which the true population value is likely to fall; a larger sample generally yields a smaller margin of error.
When is it valid to conclude a cause-and-effect relationship from a study?
Only when subjects are randomly assigned to treatment groups in a controlled experiment; observational studies show association, not causation.
What is the difference between random selection and random assignment, and what does each allow?
Random selection (sampling) of subjects allows generalizing results to the population; random assignment to groups allows concluding cause and effect.
What this deck covers
The Math: Problem-Solving and Data Analysis deck follows the SAT (Scholastic Assessment Test) Math: Problem-Solving and Data Analysis syllabus — 4 chapters and 13 topics — so questions land on material that is genuinely examinable rather than trivia around it. That works out to roughly 12.5 cards per chapter.
Answers are written to be recallable, not just readable — averaging about 112 characters, which is long enough to carry the reasoning and short enough to say out loud.
A deck like this earns its keep on the second and third pass. Read the syllabus first so you know the shape of the subject, then use the cards to find the specific facts that have not stuck.
Math: Problem-Solving and Data Analysis flashcards FAQ
How many Math: Problem-Solving and Data Analysis flashcards are in this SAT (Scholastic Assessment Test) deck?
50 cards. This page previews 24 of them, sampled evenly across the deck so you can judge the difficulty before installing anything.
Are these SAT (Scholastic Assessment Test) flashcards free?
Yes. The preview here is free to read with no signup, and the full 50-card deck is free inside the Examius app.
What do the Math: Problem-Solving and Data Analysis cards cover?
They follow the SAT (Scholastic Assessment Test) Math: Problem-Solving and Data Analysis syllabus — 4 chapters and 13 topics — so the questions track what is actually examinable.
How should I use these flashcards?
Read the syllabus first so you know the shape of the subject, then drill the deck. Examius schedules each card with spaced repetition, so cards you keep missing come back sooner and ones you know drift further apart.