"Become a Probability & Statistics Master" is a comprehensive course designed to make complex math easy to understand. With 163 lessons, this course covers everything you need to know about Probability and Statistics through video and text explanations. It also includes 45 quizzes with solutions and 8 workbooks filled with extra practice problems to help you solidify your understanding.
The course is divided into several key sections. You will start by learning how to visualize data using bar graphs, pie charts, histograms, and more. Next, you'll dive into analyzing data and explore concepts like mean, median, mode, range, and interquartile range. As you progress, you'll understand data distributions, including variance and standard deviation, and learn about normal distributions and z-scores. Probability is another major topic, covering the difference between union and intersection, independent and dependent events, and Bayes' theorem.
Further, the course "Become a Probability & Statistics Master" explores discrete random variables such as binomial and Poisson distributions. You'll learn about different sampling methods, how to identify bias, and how to calculate confidence intervals. Hypothesis testing is also covered, including significance levels, type I and II errors, and p-values. Finally, you'll delve into regression, learning how to interpret scatterplots, calculate correlation coefficients, and understand the chi-square test. This course is designed to be user-friendly and accessible, ensuring you gain a solid grasp of probability and statistics.
Become a Probability & Statistics Master Table of Contents:
- What you'll learn in this course (05:11)
- How to get the most out of this course (01:27)
- Download the formula sheet (00:19)
- The EVERYTHING download (00:24)
- Introduction to visualizing data (00:45)
- RESOURCE: Quiz solutions for this section (00:17)
- One-way tables (09:17)
- One-way tables: 3 questions
- Bar graphs and pie charts (19:38)
- Bar graphs and pie charts: 3 questions
- Line graphs and ogives (13:58)
- Line graphs and ogives: 3 questions
- Two-way tables (12:55)
- Two-way tables: 3 questions
- Venn diagrams (14:02)
- Venn diagrams: 3 questions
- Frequency tables and dot plots (03:42)
- Frequency tables and dot plots: 3 questions
- Relative frequency tables (11:14)
- Relative frequency tables: 3 questions
- Joint distributions (10:36)
- Joint distributions: 3 questions
- Histograms and stem-and-leaf plots (13:01)
- Histograms and stem-and-leaf plots: 3 questions
- Building histograms from data sets (11:52)
- Building histograms from data sets: 3 questions
- BONUS! Extra practice problems. (00:26)
- Introduction to analyzing data (01:02)
- RESOURCE: Quiz solutions for this section (00:17)
- Measures of central tendency (13:39)
- Measures of central tendency: 3 questions
- Measures of spread (17:58)
- Measures of spread: 3 questions
- Changing the data, and outliers (16:07)
- Changing the data, and outliers: 3 questions
- Box-and-whisker plots (06:19)
- Box-and-whisker plots: 3 questions
- BONUS! Extra practice problems. (00:26)
- Introduction to data distributions (00:55)
- RESOURCE: Quiz solutions for this section (00:17)
- Mean, variance, and standard deviation (15:16)
- Mean, variance, and standard deviation: 3 questions
- Frequency histograms and polygons, and density curves (10:52)
- Frequency histograms and polygons, and density curves: 3 questions
- Symmetric and skewed distributions and outliers (14:05)
- Symmetric and skewed distributions and outliers: 3 questions
- Normal distributions and z-scores (20:57)
- Normal distributions and z-scores: 3 questions
- Chebyshev's Theorem (10:51)
- Chebyshev's Theorem: 3 questions
- Covariance (14:36)
- Covariance: 3 questions
- Correlation coefficient (16:31)
- Correlation coefficient: 3 questions
- Weighted means and grouped data (09:58)
- Weighted means and grouped data: 3 questions
- BONUS! Extra practice problems. (00:26)
- Introduction to probability (00:46)
- RESOURCE: Quiz solutions for this section (00:16)
- Simple probability (17:12)
- Simple probability: 3 questions
- The addition rule, and union vs. intersection (20:30)
- The addition rule, and union vs. intersection: 3 questions
- Independent and dependent events and conditional probability (17:40)
- Independent and dependent events and conditional probability: 3 questions
- Bayes' Theorem (16:59)
- Bayes' Theorem: 3 questions
- BONUS! Extra practice problems. (00:26)
- Introduction to discrete random variables (01:00)
- RESOURCE: Quiz solutions for this section (00:17)
- Discrete probability (13:09)
- Discrete probability: 3 questions
- Transforming random variables (07:34)
- Transforming random variables: 3 questions
- Combinations of random variables (15:33)
- Combinations of random variables: 3 questions
- Permutations and combinations (10:11)
- Permutations and combinations: 3 questions
- Binomial random variables (21:26)
- Binomial random variables: 3 questions
- Poisson distributions (16:36)
- Poisson distributions: 3 questions
- "At least" and "at most," and mean, variance, and standard deviation (13:52)
- "At least" and "at most," and mean, variance, and standard deviation: 3 questions
- Bernoulli random variables (10:36)
- Bernoulli random variables: 3 questions
- Geometric random variables (18:21)
- Geometric random variables: 3 questions
- BONUS! Extra practice problems. (00:26)
- Introduction to sampling (01:18)
- RESOURCE: Quiz solutions for this section (00:16)
- Types of studies (15:56)
- Types of studies: 3 questions
- Sampling and bias (15:40)
- Sampling and bias: 3 questions
- Sampling distribution of the sample mean (34:12)
- Sampling distribution of the sample mean: 3 questions
- Conditions for inference with the SDSM (15:10)
- Conditions for inference with the SDSM: 3 questions
- Sampling distribution of the sample proportion (15:29)
- Sampling distribution of the sample proportion: 3 questions
- Conditions for inference with the SDSP (11:54)
- Conditions for inference with the SDSP: 3 questions
- The student's t-distribution (12:07)
- The student's t-distribution: 3 questions
- Confidence interval for the mean (22:04)
- Confidence interval for the mean: 3 questions
- Confidence interval for the proportion (14:09)
- Confidence interval for the proportion: 3 questions
- BONUS! Extra practice problems. (00:26)
- Introduction to hypothesis testing (01:01)
- RESOURCE: Quiz solutions for this section (00:17)
- Inferential statistics and hypotheses (15:25)
- Inferential statistics and hypotheses: 3 questions
- Significance level and type I and II errors (13:24)
- Significance level and type I and II errors: 3 questions
- Test statistics for one- and two-tailed tests (20:06)
- Test statistics for one- and two-tailed tests: 3 questions
- The p-value and rejecting the null (15:31)
- The p-value and rejecting the null: 3 questions
- Hypothesis testing for the population proportion (12:09)
- Hypothesis testing for the population proportion: 3 questions
- Confidence interval for the difference of means (21:22)
- Confidence interval for the difference of means: 3 questions
- Hypothesis testing for the difference of means (17:57)
- Hypothesis testing for the difference of means: 3 questions
- Matched-pair hypothesis testing (21:33)
- Matched-pair hypothesis testing: 3 questions
- Confidence interval for the difference of proportions (10:24)
- Confidence interval for the difference of proportions: 3 questions
- Hypothesis testing for the difference of proportions (15:34)
- Hypothesis testing for the difference of proportions: 3 questions
- BONUS! Extra practice problems. (00:26)
- Introduction to regression (01:07)
- RESOURCE: Quiz solutions for this section (00:16)
- Scatterplots and regression (15:50)
- Scatterplots and regression: 3 questions
- Correlation coefficient and the residual (23:02)
- Correlation coefficient and the residual: 3 questions
- Coefficient of determination and RMSE (16:49)
- Coefficient of determination and RMSE: 3 questions
- Chi-square tests (25:53)
- Chi-square tests: 3 questions
- BONUS! Extra practice problems. (00:26)
- Practice final exam #1 (optional) (00:35)
- Practice final exam #2 (optional) (00:35)
- Probability & Statistics final exam (00:31)
- Wrap-up (00:24)
Who is this course for?
- Current probability and statistics students, or those about to start, who want to get ahead
- Homeschool parents looking for extra support with teaching probability and statistics
- Anyone wanting to enjoy studying math for fun, even after a long break from school
Click on the links below to Download Become a Probability & Statistics Master!
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