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:

  1. What is the difference between a population and a sample in statistics?
  2. How can we ensure that a sample is representative of the population?
  3. What are some common methods for obtaining a sample from a population?
  4. Why is it important to define a population clearly in a study?
  5. 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

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Theorems

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Suitable Grade Level

Grades 9-12