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Free Digital SAT Data & Probability Practice Questions with Video Explanations

Data & probability questions test students’ ability to interpret data from a chart and/or perform calculations related to the probability of an event occurring. Some questions will ask to find the likelihood of an event occurring, while others may ask for the total possible outcomes, such as the number of different ordered groups or the number of combinations. Data & probability questions appear on approximately 8.7% of the Digital SAT. Data & probability questions fall under Problem-Solving and Data Analysis according to the College Board. Try our sample of 3 practice questions with video explanations.
 
1.

The table shows the number of volunteer hours completed by a group of students during one month.

Number of volunteer hoursNumber of students
04
17
29
35
43

If one student from the group is selected at random, what is the probability that the student completed exactly 2 volunteer hours?

Question 1 of 3

2. A random sample of 320 homeowners in a county was surveyed about whether they support a proposed recycling program. Based on the survey results, it is estimated that 4,500 of the county’s 12,000 homeowners support the program.

Based on this estimate, how many of the 320 homeowners surveyed supported the program?

Question 2 of 3

3. At a high school, 40% of the students are juniors, and the remaining students are seniors. Of the juniors, 35% participate in the school’s peer tutoring program. Of the seniors, 25% participate in the program.

If a student who participates in the peer tutoring program is selected at random, what is the probability that the student is a junior?

Question 3 of 3


 

Related Topics

Percent

Data and probability questions tend to have percent concepts appear in them. Probability is often presented as a percent; likewise, pie graphs can display information as percentages. Therefore, it is important to understand percentages and to be able to solve percent questions.

Ratios & Proportions

Data and probability information is commonly presented as fractions, which are conceptually similar to ratios. Questions such as finding the ratio of voters to non-voters or red marbles to blue marbles incorporate data analysis and the use of ratios. Therefore, practicing ratio and proportion questions can help increase the number of data & probability questions a student answers correctly.
Go back to all of our free SAT math practice here.
Glyn Caddell - Founder of Caddell Prep

Glyn Caddell

Glyn Caddell holds a BS in Mechanical Engineering from NJIT and has been tutoring New York City students since 2008. He founded Caddell Prep in 2012 and is the author of Digital SAT Math Secrets: Lessons & Tricks to Quickly Improve to a Perfect 800 on the Math Test, which contains over 900 practice problems and is used in Caddell Prep’s SAT math classes. He is founding president of the Staten Island Technical High School alumni association and teaches every lesson on this site personally.