L7: Business example | fitting probability distributions using stats & plots

Welcome to Lecture 7 of the course "Business Analytics" by Prof. Rahul R Marathe. Full Course: https://study.iitm.ac.in/ds/course_pages/BSMS2002.html Video Overview How do you fit a probability distribution to a dataset when you have no idea what the data represents? In this lecture, we walk through a practical approach using summary statistics—like mean, median, mode, skewness, and coefficient of variation—alongside graphical tools such as box plots and bar charts.We demonstrate how to deduce the nature of the data and evaluate whether an exponential distribution might be a suitable fit. You’ll learn how to assess distributional shape, identify skew, and use tools like MLE (maximum likelihood estimation) to support your conclusions. This session emphasizes data-driven reasoning, even when contextual details are missing—an essential skill for statisticians, analysts, and data scientists. About IIT Madras' online Bachelor of Science programme IIT Madras offers four-year BS programmes that aim to provide quality education to all, irrespective of age, educational background, or location. The BS programme has multiple levels, which provide flexibility to students to exit at any of these levels. Depending on the courses completed and credits earned, the learner can receive a Foundation Certificate from IITM CODE (Centre for Outreach and Digital Education), Diploma(s) from IIT Madras, or BSc/BS Degrees from IIT Madras. For more details, Visit: https://www.iitm.ac.in/academics/study-at-iitm/non-campus-bs-programmes #ProbabilityDistribution #ExponentialDistribution #DataAnalysis #Statistics #SummaryStatistics #Skewness #BoxPlot #BarChart #DistributionFitting #CoefficientOfVariation #MLE #DataModeling #StatisticalInference #DataScience #TheoreticalDistribution #StatisticalAnalysis #VisualStatistics #DataDrivenInsights #QuantitativeThinking #DescriptiveStatistics #DataExploration #NoContextData #UnlabeledData #GuessTheDistribution #AnalyticsTools #Histogram