Math Problem Statement
Determine whether the statement is true or false. If the statement is false, make the necessary change(s) to produce a true
statement.
A sample is the set of all the people or objects whose properties are to be described and analyzed by the data collector.
Choose the correct answer below
O A. True.
O B. False. A population is the set of all the people or objects whose properties are to be described and analyzed by the data
collector.
O C. False. A frequency distribution is the set of all the people or objects whose properties are to be described and analyzed by
the data collector.
O D. False. A sample is obtained in such a way that every element in the population has an equal chance of being selected.
Solution
The correct answer is:
B. False. A population is the set of all the people or objects whose properties are to be described and analyzed by the data collector.
Explanation:
- Population: Refers to the entire set of individuals or objects of interest in a study. For example, if a researcher is studying students in a school, the population includes all students in that school.
- Sample: Refers to a subset of the population that is selected for analysis. For example, a sample might include 50 students chosen randomly from the school population.
The statement provided incorrectly describes the definition of a sample as though it applies to the population. The correct definition for a sample would emphasize it as a smaller group chosen from the population.
Would you like further clarification or examples?
Related Questions:
- What is the difference between a population and a sample in statistics?
- How can we ensure that a sample is representative of the population?
- What are some common methods for obtaining a sample from a population?
- Why is it important to define a population clearly in a study?
- Can a study analyze the population directly without sampling? If so, under what circumstances?
Tip:
To avoid confusion, remember that population = whole group and sample = smaller, studied subset of that group.
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Math Problem Analysis
Mathematical Concepts
Statistics
Population and Sample
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
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