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Understanding Data Representation and Interpretation in Statistics

This guide covers essential concepts for summarizing, representing, and interpreting data on single and multiple variables. It includes methods for visualizing data using dot plots, histograms, and box plots, while also exploring central tendencies (mean and median) and measures of spread (range and IQR). The analysis of two categorical and quantitative variables is discussed through two-way tables and relative frequencies. Additionally, the guide delves into fitting data to models with scatterplots, understanding linear relationships through slope, intercept, and the correlation coefficient, as well as exploring exponential models.

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Understanding Data Representation and Interpretation in Statistics

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  1. EOCT Review Describing Data

  2. Key Ideas • Summarize, represent, and interpret data on a single count or measurable variable (dot plots, histograms and box plots) • Center (mean or median) • Spread (range or IQR), outliers

  3. Key Ideas • Summarize, represent, and interpret data on two categorical and quantitative variables (two way tables) • Joint, marginal and conditional relative freq.

  4. Key Ideas • Fit data to models • Scatterplots • Linear – • Understand slope • Intercept (constant) • Correlation Coefficient • Exponential • Asymptotes • Range • Domain

  5. Correlation Coefficient

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