Drawing Inferences about a Population

Front

What is a population in statistics?

Back

A population is the entire group of individuals or items that we want to study or draw conclusions about.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

Front

What is a sample in statistics?

Back

A sample is a subset of the population selected for analysis, used to make inferences about the population.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

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What does it mean to draw an inference?

Back

To draw an inference means to make a conclusion or educated guess based on evidence or reasoning.

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CCSS.RI.6.1

CCSS.RI.7.1

CCSS.RI.8.1

CCSS.RL.6.1

CCSS.RL.7.1

Front

How do you calculate the expected number of individuals in a population based on a sample?

Back

Multiply the proportion of the sample by the total population size.

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CCSS.7.SP.A.2

Front

If 4 out of 10 students like a certain activity, what is the proportion of students who like it?

Back

The proportion is 0.4 or 40%.

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How do you convert a proportion to a percentage?

Back

Multiply the proportion by 100.

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What is the formula to find the expected number of students in a population?

Back

Expected number = (Sample proportion) x (Total population size).

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CCSS.7.SP.A.2

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If a machine can complete a task in a certain time, how do you find the time for a different number of tasks?

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Use the formula: Time = (Number of tasks) / (Tasks per minute).

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What is a random sample?

Back

A random sample is a subset of individuals chosen from a larger set, where each individual has an equal chance of being selected.

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CCSS.HSS.IC.B.3

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Why is it important to use a random sample?

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A random sample helps ensure that the results are representative of the population, reducing bias.

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CCSS.7.SP.A.1

CCSS.HSS.IC.A.1