Statistics and Probability
Statistics and probability are sections of mathematics that deal with data collection and analysis. Probability is the study of chance and is a very fundamental subject that we apply in everyday living, while statistics is more concerned with how we handle data using different analysis techniques and collection methods. These two subjects always go hand in hand and thus you can't study one without studying the other.
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We have all used the term 'Average' in some form or another at some point in our lives. Statistical averages are introduced and defined in this section. Mean, median, mode and range are discussed both at an introductory level and also at a more advanced level, like the concept of Assumed mean.
Frequency and its aspects like Cumulative Frequency are also discussed.
This section serves as an introduction to the concept of Probability, including definitions of the different terminology and the fundamental method of calculating Probability.
Different concepts like Dependence and Independence of Events are discussed including the methods of dealing with such concepts.
This section sets the stage for a more advanced view of Probability by introducing the idea of Random Variable and the meaning and types of probability distributions including Discrete and Continous Probability Distributions.
Joint Probability Distributions are also discussed. This entire section is fundamental in understanding the way Probability and Statistics interact.