Question

what is a population? choose the correct answer below.
o a. a population is a set of data.
o b. a population is a group that exhibits characteristics typical of those possessed by the target sample.
o c. a population is the set of all the properties that can be assigned to any people or objects in a given population.
o d. a population is the set containing all the people or objects whose properties are to be described and analyzed by the data collector
what is a sample? choose the correct answer below.
o a. a sample is obtained in such a way that every element in the population has an equal chance of being selected.
o b. a sample is the set of all the properties that can be assigned to any people or objects in a given population.
o c. a sample is a subset or subgroup of the population.
o d. a sample contains one or many populations.

Explanation:

First Question (What is a population?):

To determine the correct definition of a population, we analyze each option:

• Option A: A population is not just a set of data; it refers to the entire group of people/objects we want to study. Eliminate A.
• Option B: A population is not a group that exhibits characteristics of a sample (the sample should represent the population). Eliminate B.
• Option C: A population is not the set of properties of people/objects in a sample. Eliminate C.
• Option D: A population is the set containing all the people or objects whose properties are to be described and analyzed. This matches the definition of a population (the entire group of interest).

To determine the correct definition of a sample, we analyze each option:

• Option A: This describes a simple random sample (a specific sampling method), not the general definition of a sample. Eliminate A.
• Option B: A sample is not a set of properties; it is a group of people/objects. Eliminate B.
• Option C: A sample is a subset or subgroup of the population (the population is the entire group, and the sample is a part of it used to represent the population). This matches the definition of a sample.
• Option D: A sample does not contain populations; it is a part of one population. Eliminate D.

Answer:

D. A population is the set containing all the people or objects whose properties are to be described and analyzed by the data collector

Second Question (What is a sample?):