Data Analysis

Title: Data Analysis

Editor(s): Dr. Poongothai E, Dr. Jayalalitha G

Publisher: Cogniverse Press

ISBN: 978-93-47652-50-9

e-ISBN: 978-93-47652-56-1

DOI: https://doi.org/10.5281/zenodo.21726947

Edition: First Edition

Publication Date: August, 2026

Data Analysis is an academic publication authored by Dr. Poongothai E and Dr. Jayalalitha G and published by Cogniverse Press. The book offers a comprehensive introduction to fundamental statistical and mathematical tools required for analyzing complex data. Covering key areas such as probability theory, measures of central tendency and dispersion, correlation and regression, modern data analytics techniques, and time series modeling, this volume serves as a core foundational text for students, researchers, and practitioners in mathematical sciences and data analytics.

• Understanding Random Experiments: Define and comprehend the concept of random experiments, which are processes with uncertain outcomes.
• Defining Outcomes and Trials: Explain what outcomes and trials are in the context of random experiments. Outcomes are the possible results of a random experiment, and trials are the repeated executions of the experiment.
• Definition of Probability: Define probability as a numerical measure of the likelihood of an event occurring, introduced as a ratio of favourable outcomes to total outcomes.
• Addition Theorem of Probability: Explain the addition theorem of probability, which deals with the probability of the union of two or more events.
• Bayes’ Theorem: Introduce Bayes’ theorem, which provides a formula for calculating conditional probability, particularly useful in cases where the order of events matters.