Statistics and Probability: Population and Sample

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What is the characteristic of probability sampling techniques?

They involve random selection of data. (correct)

They are used when the population has no characteristics like age, gender, or socio-economic status.

They are used when the population has differentiated levels or sections.

They do not involve random selection of data.

What is the name of the sampling technique where every nth element in the population list is selected?

Stratified Sampling

Probability Sampling

Cluster Sampling

Systematic Sampling (correct)

What is the characteristic of non-probability sampling techniques?

They are used when the population has differentiated levels or sections.

They are used when the population has no characteristics like age, gender, or socio-economic status.

They do not involve random selection of data. (correct)

They involve random selection of data.

What is the name of the sampling technique where the population is divided into subpopulations or strata based on some characteristics?

Stratified Sampling Signup and view all the answers

What is the name of the sampling technique where the population is divided into clusters or groups and then the clusters are randomly selected?

Cluster Sampling Signup and view all the answers

What is the name of the sampling technique that is applied on a geographical basis?

Area Sampling Signup and view all the answers

What is the main purpose of random sampling?

To make inferences about the population Signup and view all the answers

What is the difference between a population and a sample?

A sample is a subset of a population Signup and view all the answers

What is the formula to determine the sample size?

𝒏 = 𝟏 + 𝑵𝒆 Signup and view all the answers

If a researcher wants to study the academic performance in Mathematics of students in a school with a population of 15,000 students, and allows a margin of error of 5%, how many students must he include in his sample?

375 students Signup and view all the answers

What is the purpose of a margin of error in sampling?

To measure the amount of error in the sample Signup and view all the answers

What is the relationship between the population size and the sample size?

The sample size is always smaller than the population size Signup and view all the answers

What type of sampling technique involves gathering data from a nearby source of information, such as the use of telephone, mobile phones, or the internet?

Chain referral sampling Signup and view all the answers

What is the purpose of quota sampling?

To give certain quotas to interviewers Signup and view all the answers

What type of sampling involves selecting units because they have specific characteristics that are needed in the sample?

Purposive sampling Signup and view all the answers

What is the term for the measurement or quantity that describes the population?

Parameter Signup and view all the answers

What is the average weight of all males in the United States an example of?

A parameter Signup and view all the answers

What is the average test score of 20 students in a class of 500 an example of?

A statistic Signup and view all the answers

What is the average test score of all students in a class?

Population mean Signup and view all the answers

What is the formula for the population variance?

σ(𝐗 − 𝛍)𝟐 = 𝐍 Signup and view all the answers

What does the symbol '𝐗' represent in the context of statistics?

Given data Signup and view all the answers

What is the formula for the sample standard deviation?

σ(𝐗 − 𝐱ത)𝟐 = 𝐧−𝟏 Signup and view all the answers

What does the symbol '𝐱ത' represent in the context of statistics?

Sample mean Signup and view all the answers

What is the purpose of calculating the standard deviation?

To measure the spread of the data Signup and view all the answers