Having explored the theoretical foundations of probability, we now turn to the practical task of understanding datasets. Raw data often requires initial summarization to reveal its core characteristics before more complex analysis or modeling. This chapter introduces descriptive statistics – techniques for quantitatively describing the main features of a collection of data.
You will learn to compute and interpret key summary measures:
We will also emphasize the important distinction between correlation and causation and demonstrate how to calculate these statistics efficiently using the Pandas library in Python, alongside visualization techniques like histograms and box plots. By the end of this chapter, you'll be equipped to effectively summarize and communicate the essential properties of datasets.
3.1 Measures of Central Tendency: Mean, Median, Mode
3.2 Measures of Dispersion: Variance, Standard Deviation, Range
3.3 Understanding Skewness and Kurtosis
3.4 Percentiles and Quartiles
3.5 Correlation Analysis
3.6 Distinguishing Correlation from Causation
3.7 Visualizing Data Summaries
3.8 Calculating Descriptive Stats with Pandas
3.9 Practice: Summarizing a Dataset
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