SAT MAth Practice questions – all topics
- Problem-solving and Data Analysis Weightage: 15% Questions: 5-7
- Ratios, rates, proportional relationships, and units
- Percentages
- One-variable data: distributions and measures of centre and spread
- Two-variable data: models and scatterplots
- Probability and conditional probability
- Inference from sample statistics and margin of error
- Evaluating statistical claims: observational studies and Experiments
SAT MAth and English – full syllabus practice tests
Question Hard
Each of the frequency tables represents a data set.
Which statement best compares the medians of the two data sets?
A. The median of data set 2 is greater than the median of data set 1.
B. The median of data set 1 is greater than the median of data set 2.
C. The medians are the same.
D. There is not enough information to compare the medians.
▶️Answer/Explanation
Ans: B
\(A_1>A_2\)
Questions Hard
The box plots summarize the masses, in kilograms, of two groups of gazelles. Based on the box plots, which of the
following statements must be true?
A. The mean mass of group 1 is greater than the mean mass of group 2.
B. The mean mass of group 1 is less than the mean mass of group 2.
C. The median mass of group 1 is greater than the median mass of group 2.
D. The median mass of group 1 is less than the median mass of group 2.
▶️Answer/Explanation
Ans: C
The mean mass of each of the two groups cannot be determined from the box plots.
The median mass of the gazelles in group 1 is 25 kilograms.
The median mass of the gazelles in group 2 is 24 kilograms.
From the above information, we interrupt that median mass of group 1 is greater than the median mass of group 2.
Questions Hard
Data set A and data set B each consist of 27 values. The table shows the frequencies of the values for each data set.
Which of the following statements best compares the means of the two data sets?
A. The mean of data set A is greater than the mean of data set B.
B. The mean of data set A is less than the mean of data set B.
C. The mean of data set A is equal to the mean of data set B.
D. There is not enough information to compare the means of the data sets.
▶️Answer/Explanation
Ans: A
Questions Hard
Two data sets of 23 integers each are summarized in the histograms shown. For each of the histograms, the first interval represents the frequency of integers greater than or equal to 10, but less than 20. The second interval represents the frequency of integers greater than or equal to 20, but less than 30, and so on. What is the smallest possible difference between the mean of data set A and the mean of data set B?
A. \(0\)
B. \(1\)
C. \(10\)
D. \(23\)
▶️Answer/Explanation
Ans: B