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Descriptive statistics summarize features of a sample, such as mean and standard deviations, median and quartiles, the maximum and minimum. With multiple variables, may include correlations and crosstabs. Can include visual displays - boxplots, histograms, scatterplots and so on.

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Frequency Distribution

Sturges formula is not from a clear-cut theorem to be proved. It is something like an opinion to fix the number of classes once you are unable to deduce it from data/study.
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Interpretation of descriptive statistics for dummy variable

I guess, the frequency table summarizing the number of ones/zeros would be a good summary by itself. Mean seems to be the only reasonably explainable statistic here.
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What is the difference between descriptive and inferential statistics?

In one line, given the data, descriptive statistics try to summarize the content of your data with minimum loss of information ( depending on what measure do you use). You get to see the geography of …
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