Question bank / Problem-Solving and Data Analysis

SAT Inference from sample statistics and margin of error practice questions

Inference from sample statistics and margin of error is one of the skills tested in the Problem-Solving and Data Analysis domain of the Digital SAT Math section. Below are 15 free practice questions sorted from easy to hard. Open one to answer it and see the explanation.

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Question 1
A school has 1,600 students. In a random sample of 80 of these students, 15 said they walk to school. Based on the sampl
Easy
Question 2
A school administrator wants to estimate the average number of hours per week that the school's 2,400 students spend on
Easy
Question 3
A city planner selected a random sample of 300 of the 45,000 households in a city and found that 18% of the sampled hous
Easy
Question 4
An inspector selected a random sample of 50 boxes from a shipment of 2,000 boxes and found that 3 of the sampled boxes w
Easy
Question 5
Random samples of different sizes will be selected from the same population, using the same method, to estimate a popula
Easy
Question 6
A polling company selected a random sample of 400 registered voters in a county and found that 62% of them support a pro
Medium
Question 7
Two researchers each selected a random sample of adults from the same city to estimate the proportion who commute by bic
Medium
Question 8
A park has 900 trees. A biologist examined a random sample of 60 of the trees and found that 15% had a certain leaf dise
Medium
Question 9
A random sample of 120 employees at a large company was used to estimate the mean commute time for all employees. The sa
Medium
Question 10
A researcher used a random sample of trees in a forest to estimate the mean height of all trees in the forest. The resea
Medium
Question 11
A random sample of 1,000 adults in a country found that 41% exercise daily. The margin of error for this estimate is 3 p
Medium
Question 12
An energy analyst selected a random sample of 150 households from the 12,000 households in a city. The mean monthly elec
Hard
Question 13
Two polls each surveyed a different random sample of 500 adults from the same population about whether they plan to buy
Hard
Question 14
A researcher surveyed a random sample of 500 students at University A and found that 72% of the sampled students live on
Hard
Question 15
In a random sample of 400 likely voters in a city, 52% said they support candidate A for mayor. The margin of error for
Hard