### Question

In the context of this exercise, how is the “five-number-summary” helpful to understand a dataset?

### Answer

The five-number summary consists of these values for a dataset:

minimum

1st quartile

median

3rd quartile

maximum

With these values, we are able to get a stronger understanding of the dataset as a whole.

With this summary, we can compute the **Interquartile Range**, or IQR, which is computed as the difference of the **3rd quartile** and the **1st quartile**. This value tells us how spread the data is. If this value is low, then the data has little variance, and conversely, if the value is large, the data has a large variance.

The five-number-summary can also be helpful to determine outliers, by understanding the range of data by knowing the **maximum** and **minimum** values.

The summary is sometimes more reliable than depending on just the mean, especially when the data is skewed, because the mean is affected by outliers, while the quartiles and the **median** are not as affected by outliers.

We can also compare the five-number-summaries of different datasets to see how similar or different they are.