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Insights into Descriptive Statistics from Roger Ebert’s Movie Ratings and Business Profit Margins

This analysis explores descriptive statistics through Roger Ebert's movie ratings and department store profit margins. Ebert's ratings range from 0* to 4*, with a median and modal rating of 3.0, illustrating viewer preferences. In contrast, the profit margins of 351 department stores from 1925 reveal significant financial insights, showcasing net profits and losses. Additionally, the rainfall data for Philadelphia demonstrates how extreme values can skew the mean above the median, highlighting the importance of understanding data distribution in statistics.

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Insights into Descriptive Statistics from Roger Ebert’s Movie Ratings and Business Profit Margins

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  1. Examples of Descriptive Statistics

  2. Roger Ebert Movie Ratings • Rating Scale (Ordinal): 0*, 0.5*,…,3.5*,4* • 5501 Films (rogerebert.com, circa 3/2006) Note: Median (and Modal) Category is 3.0, LQ is 2.0, UQ is 3.5

  3. Profit Margins of Businesses • Net Profits/Losses (%) for department Stores • 351 Firms (1925): Source: Harvard BBR

  4. Example - Philadelphia Rainfall Note: The mean is higher than median as a few very large amounts were observed.

  5. Example - Philadelphia Rainfall (Population) Note: 383 (71%) Months lie within 1s of m and 518 (96%) within 2s

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