# Constructing a box and whisker plot | Probability and Statistics | Khan Academy | Summary and Q&A

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May 27, 2015
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Constructing a box and whisker plot | Probability and Statistics | Khan Academy

## TL;DR

Learn how to create a box and whisker plot to visualize the spread of data and find the median distance people travel to a restaurant.

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### Q: Why did the restaurant owner want to create a graph?

The owner wanted to understand the spread of the distances patrons travel to the restaurant and find the median distance.

### Q: What is a box and whisker plot?

A box and whisker plot is a visual representation of numerical data that shows the spread, median, and range of the dataset.

### Q: How is the median determined in a box and whisker plot?

The median is the middle value of the dataset. If there are two middle values, the mean of those values is taken as the median.

### Q: What does the box in the plot represent?

The box represents the middle 50% of the dataset, showing the spread and quartiles of the data.

### Q: What do the whiskers in the plot represent?

The whiskers show the range of the data, indicating how far the data points extend beyond the quartiles.

### Q: What does the median in the plot indicate?

The median in the plot represents the middle distance people travel to the restaurant.

## Summary & Key Takeaways

• A restaurant owner wants to analyze the distances patrons travel to their restaurant.

• To visualize the spread of distances and find the median, a box and whisker plot is recommended.

• The data is ordered, the median is determined, and the plot is created to show the spread and median distance.