Choosing a measure

Selecting the correct measure of center is essential when describing a typical value of the data being observed. When a distribution is symmetrical, the mean and median will be very close together, meaning both measures accurately describe the data.

An app has been provided showing histograms of crime counts across London boroughs. Use the dropdown to switch between crime types and observe where the mean and median lines fall on each distribution.

Which crime type can be equally well described by both the mean and the median?

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Einführung in die Statistik

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Diese Übung ist Teil des Kurses

Einführung in die Statistik

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Summary statistics gives you the tools you need to describe your data. 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: Was ist Statistik?Exercise 2: Praktische Anwendung der Statistik Exercise 3: Identifizieren von Datentypen Exercise 4: Deskriptive vs. schließende Statistik Exercise 5: Maße der zentralen Tendenz Exercise 6: Typische Anzahl von Raubüberfällen pro Londoner Bezirk Exercise 7: Choosing a measure

Aktuelle Übung

Exercise 8: London Boroughs with most frequent crimes Exercise 9: Streuungsmaße Exercise 10: Definieren der Streuungsmaße Exercise 11: Box-Plots zur Messung der Streuung Exercise 12: Welche Straftat hat die größere Standardabweichung

Probability underpins a large part of statistics, where it is used to calculate the chance of events occurring. You'll work with real-world sales data and learn how data with different values can be interpreted as a probability distribution. You'll find out about discrete and continuous probability distributions, including the discovery of the normal distribution and how it occurs frequently in natural events!

Exercise 1: What are the chances?Exercise 2: What is more likely?Exercise 3: Chances of the next sale being more than the mean Exercise 4: Conditional probability Exercise 5: Dependent vs. Independent events Exercise 6: Orders of more than 10 basket products Exercise 7: Discrete distributions Exercise 8: Identifying distributions Exercise 9: Sample mean vs. Theoretical mean Exercise 10: Continuous distributions Exercise 11: Discrete vs. Continuous distributions Exercise 12: Finding the normal distribution Exercise 13: Probability with a uniform distribution

It's time to explore more probability distributions. You'll learn about the binomial distribution for visualizing the probability of binary outcomes, and one of the most important distributions in statistics, the normal distribution. You'll see how distributions can be described by their shape, along with discovering the Poisson distribution and its role in calculating the probabilities of events occuring over time. You'll also gain an understanding of the central limit theorem!

Exercise 1: The binomial distribution Exercise 2: Recognizing a binomial distribution Exercise 3: How probability affects the binomial distribution Exercise 4: Identifying n and p Exercise 5: The normal distribution Exercise 6: Recognizing the normal distribution Exercise 7: What makes the normal distribution special?Exercise 8: Identifying skewness Exercise 9: Describing distributions using kurtosis Exercise 10: The central limit theorem Exercise 11: Visualizing sampling distributions Exercise 12: The CLT vs. The law of large numbers Exercise 13: When to use the central limit theorem Exercise 14: The Poisson distribution Exercise 15: Identifying Poisson processes Exercise 16: Recognizing lambda in the Poisson distribution

In the final chapter, you'll be introduced to hypothesis testing and how it can be used to accurately draw conclusions about a population. You'll discover correlation and how it can be used to quantify a linear relationship between two variables. You'll find out about experimental design techniques such as randomization and blinding. You'll also learn about concepts used to minimize the risk of drawing the wrong conclusion about the results of hypothesis tests!

Exercise 1: Hypothesis testing Exercise 2: Sunshine and sleep Exercise 3: The hypothesis testing workflow Exercise 4: Independent and dependent variables Exercise 5: Experiments Exercise 6: Recognizing controlled trials Exercise 7: Why use randomization?Exercise 8: Correlation Exercise 9: Identifying correlation between variables Exercise 10: What can correlation tell you?Exercise 11: Confounding variables Exercise 12: Interpreting hypothesis test results Exercise 13: Significance levels vs. p-values Exercise 14: Type I and type II errors Exercise 15: Congratulations!