Statistics and Probability: Population and Sample

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24 Questions

What is the characteristic of probability sampling techniques?

They involve random selection of data.

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

Systematic Sampling

What is the characteristic of non-probability sampling techniques?

They do not 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

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

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

Area Sampling

What is the main purpose of random sampling?

To make inferences about the population

What is the difference between a population and a sample?

A sample is a subset of a population

What is the formula to determine the sample size?

𝒏 = 𝟏 + 𝑵𝒆

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

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

To measure the amount of error in the sample

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

The sample size is always smaller than the population size

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

What is the purpose of quota sampling?

To give certain quotas to interviewers

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

Purposive sampling

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

Parameter

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

A parameter

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

A statistic

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

Population mean

What is the formula for the population variance?

σ(𝐗 − 𝛍)𝟐 = 𝐍

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

Given data

What is the formula for the sample standard deviation?

σ(𝐗 − 𝐱ത)𝟐 = 𝐧−𝟏

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

Sample mean

What is the purpose of calculating the standard deviation?

To measure the spread of the data

Learn about the basics of statistics and probability, including random sampling, parameters, and statistics. Understand how to relate real-life situations to random sampling. Test your knowledge with this quiz!

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