Algebra 2 Statistics Flashcards

Questions and Answers

What is the definition of Statistics?

The study of the collection and presentation of data.

The study of random samples.

The study of population dynamics.

The study of the collection, analysis, and interpretation of data. (correct)

What is a Population in statistics?

The collection of all data, such as responses, measurements or counts that you want information about.

What is a Sample?

A subset or part of a population.

What is a Random Sample?

A sample that represents the entire population. Signup and view all the answers

What is a Census?

Data from an entire population. Signup and view all the answers

What is Bias in sampling?

Error introduced in the sampling method. Signup and view all the answers

What is a Parameter?

Numerical description of a population characteristic. Signup and view all the answers

What is a Statistic?

Numerical description of a sample characteristic. Signup and view all the answers

What is a Hypothesis?

A claim about a characteristic of a population. Signup and view all the answers

What is Population Proportion?

The ratio of members of a population with a particular characteristic to the total members of the population. Signup and view all the answers

What is Sample Proportion?

Ratio of members of a sample of a population with a characteristic to the total members of the sample. Signup and view all the answers

What constitutes a Self-selected Sample?

Members of a population who volunteer for the sample. Signup and view all the answers

What is a Systematic Sample?

A sample selected at regular intervals from an ordered population. Signup and view all the answers

What is a Convenience Sample?

Members of a population who are easy to reach. Signup and view all the answers

What is a Stratified Sample?

A population divided into smaller groups with similar characteristics. Signup and view all the answers

What is a Cluster Sample?

A sample where all members in one or more groups are selected. Signup and view all the answers

What is an Unbiased Sample?

A sample representative of the population you want information about. Signup and view all the answers

What is a Biased Sample?

A sample that over- or under-represents a part of a population. Signup and view all the answers

What is an Experiment in statistics?

Imposes treatment on individuals to collect data on their responses. Signup and view all the answers

What is an Observational Study?

Observes individuals and measures variables without controlling them. Signup and view all the answers

What is a Survey?

An investigation of characteristics of a population through questions. Signup and view all the answers

What is a Simulation?

Uses a model to reproduce conditions closely matching real-world outcomes. Signup and view all the answers

Study Notes

Statistics Overview

Involves collection, analysis, interpretation, presentation, and organization of data.

Population

Refers to all data relevant to a study, such as measurements or responses.
Examples include census data or all students in a specific school.

Sample

A subset of a population, which can be obtained through various methods to ensure randomness.

Random Sample

A sample representative of the entire population, facilitating accurate conclusions.
Example: A mixture of students from different grades in a high school.

Census

Gathers data from an entire population but is often impractical due to time and cost involved.

Bias

Introduces error in sampling methods, leading to over- or under-representation of a population segment.
Example: Sampling only 10th and 11th graders in a survey.

Parameter

Represents a numerical characteristic of a population.
Example: The average minimum wage of teenagers in a town.

Statistic

A numerical description derived from a sample, reflecting a characteristic of that sample.
Example: Median salary of statisticians in a survey.

Hypothesis

A proposed claim regarding a population characteristic, requiring analysis to distinguish significant results from random chance.

Population Proportion

The ratio of individuals with a specific characteristic in a population compared to the total population size.

Sample Proportion

Similar to population proportion but pertains specifically to a sample of the population.

Random Sample (Definition Reiteration)

Ensures each member has an equal chance of selection, representing the population accurately.

Self-selected Sample

Composed of individuals who voluntarily participate, such as an online survey.

Systematic Sample

Involves selecting every Kth member from an ordered population.
Example: Picking every 6th student entering a classroom.

Convenience Sample

Involves members who are easily accessible.
Example: Surveying students within a specific class.

Stratified Sample

Division of a population into groups sharing similar traits, with samples drawn randomly from each group.
Example: Sampling 50 students each from freshmen, sophomores, juniors, and seniors.

Cluster Sample

Involves dividing the population into clusters and selecting all members from specific clusters.
Example: Selecting all students from several chosen homerooms.

Unbiased Sample

Accurately represents the population, ensuring fair and accurate analysis.

Biased Sample

Over- or under-represents aspects of the population, leading to skewed results.

Experiment

Imposes a treatment on subjects to observe responses, applicable in various fields like medicine.

Observational Study

Focuses on measuring variables without controlling the environment, often used when experimentation is unethical.

Survey

Investigates characteristics of a population through questionnaires directed at every member.

Simulation

Employs models to replicate real-world situations, producing outcomes that mirror actual scenarios.
Example: Rolling a die multiple times to predict outcomes.

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Description

Test your knowledge of key statistics concepts with these flashcards. You'll learn about fundamental terms such as 'Statistics', 'Population', and 'Sample'. Perfect for Algebra 2 students looking to enhance their understanding of statistical methods.