Erwarteter Wert vs. Stichprobenmittelwert

Die App auf der rechten Seite nimmt eine Stichprobe aus einer diskreten Gleichverteilung, die die Zahlen 1 bis 9 enthält, und berechnet den Mittelwert der Stichprobe. Du kannst die Größe der Stichprobe mit dem Schieberegler anpassen. Beachte, dass der erwartete Wert dieser Verteilung 5 ist.

Es wird eine Stichprobe gezogen, und du gewinnst zwanzig Dollar, wenn der Mittelwert der Stichprobe kleiner als 4 ist. Die Sache hat einen Haken: Du darfst die Größe der Stichprobe selbst bestimmen.

Bei welcher Stichprobengröße ist es am wahrscheinlichsten, dass du die zwanzig Dollar gewinnst?

Diese Übung ist Teil des Kurses

<Kurs>Einführung in die Statistik in Python</Kurs>

Interaktive praktische Übung

Verwandle Theorie mit einer unserer interaktiven Übungen in die Praxis

Diese Übung ist Teil des Kurses

<Kurs>Einführung in die Statistik in Python</Kurs>

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Summary statistics gives you the tools you need to boil down massive datasets to reveal the highlights. In this chapter, you'll explore summary statistics including mean, median, and standard deviation, and learn how to accurately interpret them. You'll also develop your critical thinking skills, allowing you to choose the best summary statistics for your data.

Exercise 1: What is statistics?Exercise 2: Descriptive and inferential statistics Exercise 3: Data type classification Exercise 4: Measures of center Exercise 5: Calculating mean and median Exercise 6: Mean, median, and distribution shape Exercise 7: Measures of spread Exercise 8: Variance and standard deviation Exercise 9: Quartiles, quantiles, and quintiles Exercise 10: Finding outliers using IQR

In this chapter, you'll learn how to generate random samples and measure chance using probability. You'll work with real-world sales data to calculate the probability of a salesperson being successful. Finally, you’ll use the binomial distribution to model events with binary outcomes.

Exercise 1: Wie stehen die Chancen?Exercise 2: Mit oder ohne Zurücklegen?Exercise 3: Wahrscheinlichkeiten berechnen Exercise 4: Stichproben zu Deals durchführen Exercise 5: Diskrete Verteilungen Exercise 6: Eine Wahrscheinlichkeitsverteilung erstellen Exercise 7: Verteilungen erkennen Exercise 8: Erwarteter Wert vs. Stichprobenmittelwert

Aktuelle Übung

Exercise 9: stetige Verteilungen Exercise 10: Welche Verteilung?Exercise 11: Daten-Back-ups Exercise 12: Wartezeiten simulieren Exercise 13: Die Binomialverteilung Exercise 14: Verkaufdeals simulieren Exercise 15: Berechnung der binomialen Wahrscheinlichkeiten Exercise 16: Wie viele Verkäufe werden getätigt?

It’s time to explore one of the most important probability distributions in statistics, normal distribution. You’ll create histograms to plot normal distributions and gain an understanding of the central limit theorem, before expanding your knowledge of statistical functions by adding the Poisson, exponential, and t-distributions to your repertoire.

Exercise 1: The normal distribution Exercise 2: Distribution of Amir's sales Exercise 3: Probabilities from the normal distribution Exercise 4: Simulating sales under new market conditions Exercise 5: Which market is better?Exercise 6: The central limit theorem Exercise 7: Visualizing sampling distributions Exercise 8: The CLT in action Exercise 9: The mean of means Exercise 10: The Poisson distribution Exercise 11: Identifying lambda Exercise 12: Tracking lead responses Exercise 13: More probability distributions Exercise 14: Distribution dragging and dropping Exercise 15: Modeling time between leads Exercise 16: The t-distribution

In this chapter, you'll learn how to quantify the strength of a linear relationship between two variables, and explore how confounding variables can affect the relationship between two other variables. You'll also see how a study’s design can influence its results, change how the data should be analyzed, and potentially affect the reliability of your conclusions.

Exercise 1: Correlation Exercise 2: Guess the correlation Exercise 3: Relationships between variables Exercise 4: Correlation caveats Exercise 5: What can't correlation measure?Exercise 6: Transforming variables Exercise 7: Does sugar improve happiness?Exercise 8: Confounders Exercise 9: Design of experiments Exercise 10: Study types Exercise 11: Longitudinal vs. cross-sectional studies Exercise 12: Congratulations!