Section 1
Defining Population and Sample
Property
A population is the entire group of people or objects being studied. A sample is a subset or part of the population that is selected for analysis.
In this Grade 7 lesson from Big Ideas Math Advanced 2, students learn to distinguish between populations and samples, and identify the difference between unbiased and biased samples. The lesson covers how to determine whether a sample is truly representative of a population by evaluating randomness and sample size. Students then apply these concepts to make valid inferences and predictions about a larger population based on data collected from random samples.
Section 1
Defining Population and Sample
A population is the entire group of people or objects being studied. A sample is a subset or part of the population that is selected for analysis.
Section 2
Identifying Biased vs Unbiased Samples
An unbiased sample must be:
(1) representative of the population,
(2) randomly selected, and
(3) large enough to provide accurate data. A biased sample fails to meet one or more of these criteria and favors certain groups over others.
Section 3
Identifying Biased and Unbiased Sampling Methods
A sampling method is biased if it systematically favors certain groups or excludes parts of the population. A sampling method is unbiased if it gives every member of the population an equal chance of being selected and produces a representative sample.
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Section 1
Defining Population and Sample
A population is the entire group of people or objects being studied. A sample is a subset or part of the population that is selected for analysis.
Section 2
Identifying Biased vs Unbiased Samples
An unbiased sample must be:
(1) representative of the population,
(2) randomly selected, and
(3) large enough to provide accurate data. A biased sample fails to meet one or more of these criteria and favors certain groups over others.
Section 3
Identifying Biased and Unbiased Sampling Methods
A sampling method is biased if it systematically favors certain groups or excludes parts of the population. A sampling method is unbiased if it gives every member of the population an equal chance of being selected and produces a representative sample.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter