STATCRUNCH
Course Overview
AP Statistics is a collegelevel course that introduces students to the principles and methods of statistical analysis. The course covers a wide range of topics, including data collection and organization, probability theory, hypothesis testing, and data interpretation. Students will develop the skills necessary to analyze and interpret data, make informed decisions, and communicate statistical information effectively.
20 High Quality
lesson
hands on learning
Customized course structure
Flexible payment plan
By the End of the course Student will be able to :
Topic Covered
Statistics
Inference
Probability
ANOVA
Regression

Develop ability to collect, organize, and analyze data using appropriate statistical methods.

Enhance understanding of probability theory and its applications in realworld scenarios.

Skills to conduct hypothesis tests, make inferences, and draw conclusions based on sample data.

To foster critical thinking and problemsolving skills through handson data analysis and interpretation.

To prepare students for the AP Statistics exam, including the ability to apply statistical concepts to solve complex problems.
What we will be covering in 20 Lesson :
Lesson 1: Introduction to Statistics

Overview of statistics, data types, and measurement scales

Descriptive vs. inferential statistics

Collecting and organizing data
Lesson 2: Descriptive Statistics

Measures of central tendency (mean, median, mode)

Measures of variability (range, variance, standard deviation)

Displaying data with graphs and charts
Lesson 3: Sampling and Experimental Design

Types of sampling techniques (random, stratified, cluster)

Experimental design principles (control, randomization, replication)
Lesson 4: Probability

Fundamentals of probability theory

Probability rules (addition, multiplication, complement)

Conditional probability and independence
Lesson 5: Probability Distributions

Discrete probability distributions (binomial, geometric, Poisson)

Continuous probability distributions (normal, uniform)
Lesson 6: Sampling Distributions

Central Limit Theorem and its implications

Sampling distribution of the sample mean

Sampling distribution of the sample proportion
Lesson 7: Confidence Intervals

Confidence interval estimation for means and proportions

Interpreting confidence intervals

Factors affecting the width of confidence intervals
Lesson 8: Hypothesis Testing

Null and alternative hypotheses

Type I and Type II errors

Hypothesis testing for means and proportions
Lesson 9: Inference for Means

Onesample ttest

Independent samples ttest

Paired samples ttest
Lesson 10: Inference for Proportions

Testing proportions and constructing confidence intervals

Comparing two proportions
Lesson 11: ChiSquare Tests

Chisquare goodnessoffit test

Chisquare test of independence

Chisquare test for homogeneity
Lesson 12: Regression Analysis

Simple linear regression

Fitting the regression line

Assessing the model's goodness of fit
Lesson 13: Correlation Analysis

Measures of correlation (Pearson's r, Spearman's rho)

Interpreting correlation coefficients

Testing for the significance of correlation
Lesson 14: Multiple Regression

Multiple regression analysis

Interpreting regression coefficients

Model selection and diagnostic checking
Lesson 15: Analysis of Variance (ANOVA)

Oneway ANOVA

Twoway ANOVA

Posthoc tests and multiple comparisons
Lesson 16: Nonparametric Methods

Sign test

Wilcoxon signedrank test

MannWhitney U test
Lesson 17: Confidence Intervals and Hypothesis Testing for Regression

Confidence intervals for regression coefficients

Hypothesis testing for regression coefficients

Residual analysis and model validation
Lesson 18: Experimental Design and Analysis

Randomized complete block design

Factorial design

Analysis of variance for designed experiments
Lesson 19: Simulation and Probability Models

Monte Carlo simulation

Probability models and simulations

Applications of simulations in statistics
Lesson 20: Review and Exam Preparation

Comprehensive review of AP Statistics topics

Practice exams and exam strategies

Tips for success on the AP Statistics exam