Problem-Solving and Data… | SAT Math Section

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Mar 27, 2024

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The density of a certain type of wood is 353 kilograms per cubic meter. A sample of this type of wood is in the shape of a cube and has a mass of 345 kilograms. To the nearest hundredth of a meter, what is the length of one edge of this sample?

Difficulty: Hard

0.98

0.99

1.01

1.02

From a population of 50,000 people, 1,000 were chosen at random and surveyed about a proposed piece of legislation. Based on the survey, it is estimated that 35% of people in the population support the legislation, with an associated margin of error of 3%. Based on these results, which of the following is a plausible value for the total number of people in the population who support the proposed legislation?

Difficulty: Medium

350

650

16,750

31,750

$$6, 6, 8, 8, 8, 10, 21$$ Which of the following lists represents a data set that has the same median as the data set shown?

Difficulty: Easy

4, 6, 6, 6, 8, 8

6, 6, 8, 8, 10, 10

6, 8, 10, 10, 10, 12

8, 8, 10, 10, 21, 21

The members of a city council wanted to assess the opinions of all city residents about converting an open field into a dog park. The council surveyed a sample of 500 city residents who own dogs. The survey showed that the majority of those sampled were in favor of the dog park. Which of the following is true about the city council's survey?

Difficulty: Easy

It shows that the majority of city residents are in favor of the dog park.

The survey sample should have included more residents who are dog owners.

The survey sample should have consisted entirely of residents who do not own dogs.

The survey sample is biased because it is not representative of all city residents.

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