In this lesson, you will learn how to find the median of a dataset — a common measure of a dataset’s center. Each of the next three exercises will cover the following topics:
- Manually finding the median of a dataset
- Using R’s median function to find the median of a dataset
- Interpreting what it means for a dataset to have similar and different median and mean values
In the lesson, we will use a dataset of the 100 greatest novels, determined by a French literary magazine, Le Monde. From the dataset, you will use the median to answer the question:
When are great authors most likely to publish their best work?
If you are not familiar with mean, also known as average, we recommend that you learn about it in our lesson on average.
The histogram to the right displays the age of authors, at publication, for the top 100 novels. The red line represents the average value of this dataset.
You can think of the median as being the observation in your dataset that falls right in the middle.
Using this informal definition of the median and the graph to the right, see if you can determine whether the median of this dataset falls to the right or the left of the mean. We will show you the correct answer in the last exercise.