Master fundamental statistics concepts in this free online course. Learn about data types, probability, distributions, sampling, z-scores, hypothesis testing, and more.
The course "Statistics by" is an extensive exploration into the fundamentals of statistics, designed for those who are just starting their journey into this crucial field. With a duration of 31 hours and 55 minutes, it's a substantial commitment that promises a thorough grounding in the subject.
Belonging to the "Basic Studies" category and diving into the subcategory of statistics, this course has received a remarkable average rating of 4.9 out of 5 stars, reflecting its high-quality content and the effectiveness of its instruction. Guided by a seasoned educator in the field, students can expect a comprehensive and engaging learning experience.
The course begins with an introduction to elementary statistical terms and definitions, ensuring that students are equipped with the foundational vocabulary necessary for more advanced topics. As learners progress, they explore various categories and levels of data measurement, followed by essential sampling techniques to develop random samples efficiently.
One of the core areas covered is the creation of frequency distributions and histograms, providing students the tools to organize and visualize data effectively. This is complemented by lessons on finding the center of a data set through mean, median, and mode, and calculating the standard deviation, which is crucial for understanding data variability.
The course delves deeply into probability, starting with introductory concepts and advancing through the addition and multiplication rules for probability, probability of complementary events, and the fundamental counting principle. Students will also learn about permutations and combinations, broadening their understanding of different probability scenarios.
Probability distributions are another focal point, where learners study both general and binomial distributions, and how to find their mean and standard deviation. This is crucial for interpreting and predicting data patterns.
In the sections covering the normal distribution and continuous random variables, students are introduced to the standard normal distribution and z-scores, which are pivotal for statistical inference. The course explains sampling distributions and the Central Limit Theorem, leveraging these concepts to approximate population characteristics from samples.
Confidence intervals are meticulously covered, including for population proportions and sample means, whether the population standard deviation is known or not. This segment is vital for making reliable population parameter estimates from sample data.
Finally, the course wraps up with hypothesis testing, a cornerstone of statistical analysis. From testing population proportions and means to examining variances and standard deviations, students gain robust skills in making data-driven decisions.
Overall, "Statistics by" offers a rich tapestry of statistical education, meticulously structured to build a solid foundation and advance learners' understanding through practical, real-world applications. Whether you're a beginner in statistics or looking to reinforce your knowledge, this course stands out as a highly recommended resource.
Video class: Statistics Lecture 1.1: The Key Words and Definitions For Elementary Statistics
0h17m
Exercise: _What does the term "data" mean in statistics?
Video class: Statistics Lecture 1.3: Exploring Categories of Data, Levels of Measurement
0h31m
Exercise: _Which type of data is not related to numbers and mathematical operations are meaningless for it?
Video class: Statistics Lecture 1.5: Sampling Techniques. How to Develop a Random Sample
0h31m
Exercise: _What is the main difference between an observation and an experiment in statistics?
Video class: Statistics Lecture 2.2: Creating Frequency Distribution and Histograms
1h07m
Exercise: _What is a frequency distribution in statistics?
Video class: Statistics Lecture 3.2: Finding the Center of a Data Set. Mean, Median, Mode
1h11m
Exercise: _What is the most common way to describe the center of a data set?
Video class: Statistics Lecture 3.3: Finding the Standard Deviation of a Data Set
1h56m
Video class: Statistics Lecture 3.4: Finding Z-Score, Percentiles and Quartiles, and Comparing Standard Deviation
1h31m
Exercise: _What is a z-score?
Video class: Statistics Lecture 4.2: Introduction to Probability
1h42m
Exercise: _What does a low probability mean in statistics?
Video class: Statistics Lecture 4.3: The Addition Rule for Probability
1h09m
Exercise: _In the game of craps, what are the two numbers that will double your money if rolled on the first roll?
Video class: Statistics Lecture 4.4: The Multiplication Rule for "And" Probabilities.
1h06m
Video class: Statistics Lecture 4.5: Probability of Complementary Events with "At Least One"
0h32m
Video class: Statistics Lecture 4.7: Fundamental Counting Rule, Permutations and Combinations
1h37m
Exercise: _What is the fundamental counting rule in statistics?
Video class: Statistics Lecture 5.2: A Study of Probability Distributions, Mean, and Standard Deviation
1h12m
Video class: Statistics Lecture 5.3: A Study of Binomial Probability Distributions
1h32m
Exercise: _What are the two outcomes in a binomial probability distribution?
Video class: Statistics Lecture 5.4: Finding Mean and Standard Deviation of a Binomial Probability Distribution
0h42m
Video class: Statistics Lecture 6.2: Introduction to the Normal Distribution and Continuous Random Variables
2h11m
Video class: Statistics Lecture 6.3: The Standard Normal Distribution. Using z-score, Standard Score
0h56m
Video class: Statistics Lecture 6.4: Sampling Distributions Statistics. Using Samples to Approx. Populations
0h50m
Exercise: _What is the underlying idea of sampling distributions?
Video class: Statistics Lecture 6.5: The Central Limit Theorem for Statistics. Using z-score, Standard Score
1h31m
Exercise: _What is the first requirement for using the central limit theorem?
Video class: Statistics Lecture 7.2: Finding Confidence Intervals for the Population Proportion
2h24m
31 hours and 55 minutes of online video course
Exercises to train your knowledge
Certificate of course completion
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