Box Plots

A Box Plot is a graphical representation of a dataset that shows its minimum, lower quartile, median, upper quartile, and maximum values.

The lower quartile (Q1) is the median of the lower half of the data, meaning 25% of the data falls below this value.

The median is the middle value of a dataset when it is ordered from least to greatest, dividing the dataset into two equal halves.

The range is calculated by subtracting the smallest value from the largest value in the dataset.

The upper quartile (Q3) is the median of the upper half of the data, meaning 75% of the data falls below this value.

The interquartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1), representing the middle 50% of the data.

50% of the data falls between the lower quartile (Q1) and the upper quartile (Q3).

A Box Plot is used to visually summarize the distribution of a dataset, highlighting its central tendency and variability.

The 'whiskers' extend from the box to the smallest and largest values within 1.5 times the IQR from the quartiles, indicating the range of the data.

The minimum value is the smallest data point in the dataset, represented by the leftmost point in the Box Plot.