CK12.ORG - Probability and Statistics (Advanced Placement)

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[{id:"2680",title:"An Introduction to Analyzing Statistical Data"},{id:"2681",title:"Visualizations of Data"},{id:"2682",title:"An Introduction to Probability"},{id:"2683",title:"Discrete Probability Distribution"},{id:"2684",title:"Normal Distribution"},{id:"2685",title:"Planning and Conducting an Experiment or Study"},{id:"2686",title:"Sampling Distributions and Estimations"},{id:"2687",title:"Hypothesis Testing"},{id:"2688",title:"Regression and Correlation"},{id:"2689",title:"Chi-Square"},{id:"2690",title:"Analysis of Variance and the F-Distribution"},{id:"2691",title:"Non-Parametric Statistics"},]

FlexBook: Probability and Statistics (Advanced Placement)

Table of Contents

Chapter Title

Creator

An Introduction to Analyzing Statistical Data

CK-12 Foundation

An Introduction to Analyzing Statistical Data

Students learn definitions of statistical terminology, and review data, measures of center, and...

Created: Oct. 29, 2009 11:20 PM

Last edited: Jun. 17, 2010 02:02 PM

Students learn definitions of statistical terminology, and review data, measures of center, and measures of spread.

Categories: Data Summary and Presentation , Summary Statistics , Measures of Central Tendency , Measures of Spread

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: variables , ordinal measurement , nominal measurement , quantitative variables

Created: Oct. 29, 2009 11:20 PM

Last Edited: Jun. 17, 2010 02:02 PM

An Introduction to Analyzing Statistical Data

Visualizations of Data

CK-12 Foundation

Visualizations of Data

Students explore and learn about histograms and frequency distributions, common graphs and data...

Created: Oct. 29, 2009 11:20 PM

Last edited: Jun. 17, 2010 02:02 PM

Students explore and learn about histograms and frequency distributions, common graphs and data plots, and box-and-whisker plots.

Categories: Data Summary and Presentation , Data Representation , Graphs and Plots , Tables

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: shape , center , spread , frequency polygons

Created: Oct. 29, 2009 11:20 PM

Last Edited: Jun. 17, 2010 02:02 PM

Visualizations of Data

An Introduction to Probability

CK-12 Foundation

An Introduction to Probability

Students explore and learn about events, sample spaces, probability, compound events, the...

Created: Oct. 29, 2009 11:21 PM

Last edited: Jun. 17, 2010 02:02 PM

Students explore and learn about events, sample spaces, probability, compound events, the complement of an event, conditional probability, and basic counting rules.

Categories: Probability , Elementary Probability , Combinations and Permutations , General Rules

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: sample space , simple event , outcomes , event

Created: Oct. 29, 2009 11:21 PM

Last Edited: Jun. 17, 2010 02:02 PM

An Introduction to Probability

Discrete Probability Distribution

CK-12 Foundation

Discrete Probability Distribution

Students explore and learn about two types of random variables, probability distribution for a...

Created: Oct. 29, 2009 11:21 PM

Last edited: Jun. 17, 2010 02:02 PM

Students explore and learn about two types of random variables, probability distribution for a discrete random variable, mean and standard deviation of discrete random variables and the Binomial Probability Distribution.

Categories: Statistics and Probability , Data Summary and Presentation , Summary Statistics , Measures of Spread

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: variance , binomial probability distribution , binomial experiment , binomial random variable

Created: Oct. 29, 2009 11:21 PM

Last Edited: Jun. 17, 2010 02:02 PM

Discrete Probability Distribution

Normal Distribution

CK-12 Foundation

Normal Distribution

Students explore and learn about the standard normal probability distribution, the density curve of...

Created: Oct. 29, 2009 11:21 PM

Last edited: Jun. 17, 2010 02:02 PM

Students explore and learn about the standard normal probability distribution, the density curve of the normal distribution, and applications of the normal distribution.

Categories: Data and Measurement Issues , Data Summary and Presentation , Data Representation , Graphs and Plots

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: empirical rule , z-score , standard normal distribution , mode

Created: Oct. 29, 2009 11:21 PM

Last Edited: Jun. 17, 2010 02:02 PM

Normal Distribution

Planning and Conducting an Experiment or Study

Planning and Conducting an Experiment or Stud...

CK-12 Foundation

Planning and Conducting an Experiment or Study

Students explore and learn about surveys, sampling and experimental design.

Created: Oct. 29, 2009 11:21 PM

Last edited: Jun. 17, 2010 02:02 PM

Students explore and learn about surveys, sampling and experimental design.

Categories: Statistics and Probability , Data Collection , Data and Measurement Issues , Experimental Design

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: statistical experiment , confounding variables , control group , lurking variables

Created: Oct. 29, 2009 11:21 PM

Last Edited: Jun. 17, 2010 02:02 PM

Planning and Conducting an Experiment or Study

Sampling Distributions and Estimations

CK-12 Foundation

Sampling Distributions and Estimations

This chapter covers sampling distributions and the Central Limit Theorem.

Created: Oct. 29, 2009 11:21 PM

Last edited: Jun. 17, 2010 02:02 PM

This chapter covers sampling distributions and the Central Limit Theorem.

Categories: Statistics and Probability , Probability , Limit Theorems , Central Limit Theorem

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: population parameter , central limit theorem , z-score , sample size

Created: Oct. 29, 2009 11:21 PM

Last Edited: Jun. 17, 2010 02:02 PM

Sampling Distributions and Estimations

Hypothesis Testing

CK-12 Foundation

Hypothesis Testing

Students explore and learn about hypothesis testing and the P-value, testing a proportion hypothesis...

Created: Oct. 29, 2009 11:21 PM

Last edited: Jun. 17, 2010 02:02 PM

Students explore and learn about hypothesis testing and the P-value, testing a proportion hypothesis, testing a mean hypothesis, and testing a hypothesis for dependent and independent samples.

Categories: Sampling and Surveys , Data Summary and Presentation , Summary Statistics , Measures of Central Tendency

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: not statistically significant , critical values , mean hypothesis , range of values

Created: Oct. 29, 2009 11:21 PM

Last Edited: Jun. 17, 2010 02:02 PM

Hypothesis Testing

Regression and Correlation

CK-12 Foundation

Regression and Correlation

Students explore and learn about scatterplots and linear correlation, Least-Squares regression,...

Created: Oct. 29, 2009 11:21 PM

Last edited: Jun. 17, 2010 02:02 PM

Students explore and learn about scatterplots and linear correlation, Least-Squares regression, inferences about regression, and an introduction to multiple regression.

Categories: Data Summary and Presentation , Data Representation , Graphs and Plots , Statistical Inference and Techniques

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: correlation coefficient , predictor variable , linearity , transformation

Created: Oct. 29, 2009 11:21 PM

Last Edited: Jun. 17, 2010 02:02 PM

Regression and Correlation

10.

Chi-Square

CK-12 Foundation

Chi-Square

Students explore and learn about the Goodness-of-Fit test, test of independence, and testing one...

Created: Oct. 29, 2009 11:21 PM

Last edited: Jun. 17, 2010 02:02 PM

Students explore and learn about the Goodness-of-Fit test, test of independence, and testing one variance.

Categories: Statistics and Probability , Statistical Inference and Techniques , Confidence Intervals , Hypothesis Tests

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: single variance , population variance , sample mean , chi-square

Created: Oct. 29, 2009 11:21 PM

Last Edited: Jun. 17, 2010 02:02 PM

Chi-Square

11.

Analysis of Variance and the F-Distribution

CK-12 Foundation

Analysis of Variance and the F-Distribution

Students explore and learn about the F-Distribution and testing two variances, the One-Way ANOVA...

Created: Oct. 29, 2009 11:21 PM

Last edited: Jun. 17, 2010 02:02 PM

Students explore and learn about the F-Distribution and testing two variances, the One-Way ANOVA test, and the Two-Way ANOVA test.

Categories: Statistics and Probability , Data Summary and Presentation , Data Representation , Statistical Inference and Techniques

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: limits of inferences , population variances , f-ratio statistic , mean squares within groups

Created: Oct. 29, 2009 11:21 PM

Last Edited: Jun. 17, 2010 02:02 PM

Analysis of Variance and the F-Distribution

12.

Non-Parametric Statistics

CK-12 Foundation

Non-Parametric Statistics

Students explore nonparametric statistics, the rank sum test and rank Correlation, and the...

Created: Oct. 29, 2009 11:21 PM

Last edited: Jun. 17, 2010 02:02 PM

Students explore nonparametric statistics, the rank sum test and rank Correlation, and the Kruskal-Wallis test.

Categories: Statistics and Probability , Statistical Inference and Techniques , Hypothesis Tests , Non-Parametric Techniques

Grades: 10 , 11 , 12

Organizations: CK-12 Foundation , CK-12 Community

Tags: nonparametric tests , median of a population , wald-wolfowitz test , runs test

Created: Oct. 29, 2009 11:21 PM

Last Edited: Jun. 17, 2010 02:02 PM

Non-Parametric Statistics

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Probability and Statistics (Advanced Placement)

Reviewed

Created: Oct. 29, 2009 10:20 PM
Last modified: 2 months, 2 weeks ago

CK-12 Foundation’s Probability and Statistics (Advanced Placement) FlexBook introduces students to basic topics in statistics and probability but finishes with the rigorous topics an advanced placement course requires.

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Categories:

Central Limit Theorem

Confidence Intervals

Data Collection

Data Representation

Data Summary and Presentation

Discrete Distributions

Elementary Probability

Graphs and Plots

Hypothesis Tests

Limit Theorems

Mathematics

Measures of Central Tendency

Measures of Spread

Multivariate Distributions

Non-Parametric Techniques

Probability

Regression and Correlation

Sampling and Surveys

Statistical Inference and Techniques

Statistics and Probability

Summary Statistics

Tables

Univariate Distributions

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Reviewed

CK-12 readers should treat this FlexBook as a final draft. This FlexBook underwent a thorough review conducted by practicing teachers, domain experts, copyeditors, technical editors, and has been developed following state and national standards. It can be used in its current form, "flexed" (customized), and/or printed by the user. CK-12 supports feedback on all of its FlexBooks so that they can be continually improved and updated.

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