7.DS.A.1: Determine when generalizations about a population are appropriate based on how the sample was selected. a. Decide whether a sample is representative of a population by explaining how it was selected and how that selection affects the accuracy of conclusions. b. Explain how a random sample increases the likelihood that the sample represents the population.

Determine when generalizations about a population are appropriate based on how the sample was selected. a. Decide whether a sample is representative of a population by explaining how it was selected and how that selection affects the accuracy of conclusions. b. Explain how a random sample increases the likelihood that the sample represents the population.

Example Problems
Angie, Bridget, Carlos, and Diego are seated at random around a square table, one person to a side. What is the that Angie and Carlos are seated opposite each other?
A fair die is rolled twice. What is the that the first number that comes up is the second number?
Coach Walters surveyed a random sample of swim team members about their best stroke.

Of the members surveyed,
said butterfly is their best stroke. There are swimmers in the program.

Based on the data, what is the most reasonable estimate for the number of swimmers in the program whose best stroke is butterfly?
Goblins

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