Why Is Box And Whisker Plot Useful?

A box-and-whisker plot, also known as a boxplot or box whisker plot, is an effective statistical graph for visualizing and understanding the distribution of numerical data in terms of its central position (median) and variability (spread). It is particularly useful when dealing with large datasets that contain extreme values since it helps to identify these outliers without being affected by them.

To construct a box-and-whisker plot, you need five important measures from your dataset:

1. Minimum value: The smallest data point in the set.

2. First quartile (Q1), also known as the lower quartile or 25th percentile: This is the middle of the bottom half of the data when arranged in ascending order. It divides the data into two equal parts, with Q1 being at the boundary between these two halves.

3. Median (Q2): Also referred to as the second quartilie, median, middle value or 50th percentile - it represents exactly what its name suggests: right down the center of your dataset when sorted from smallest to largest!

4. Third Quartile (Q3), also known as upper quartile or 75th Percentile: Similar in definition to Q1 but now we're looking at the top half instead; this marks where things start getting really high up there above average territory for sure because anything beyond will be considered an outlier since most cases fall below here.

5. Maximum value - The largest data point within your dataset, which completes our five key points needed before proceeding further with creating such beautiful visual representations through boxplots!

In summary, a Box And Whisker Plot is useful when you want to quickly understand the distribution of numerical data without being affected by extreme values or outliers in your set. It provides valuable insights into central tendency (median) and variability within any given dataset while also highlighting potential issues like skewness that might otherwise go unnoticed if not properly visualized using appropriate statistical tools such as boxplots!

Why is box and whisker plot useful