A box plot consists of the median, which is the midpoint of the range of data the upper and lower quartiles, which represent the numbers above and below the highest and lower quarters of the data and the minimum and maximum data values. The most feasible option will be 65 as the minimum value of the box plot.ĭue to the five-number data summary, a box plot can handle and present a summary of a large amount of data. Here the smallest value is 0.005 but it is most likely to be an outlier and hence the box plot will not mark this as the minimum value. This point does not correspond to the smallest value in your dataset. This point in the box plot represents the lowest value in the data distribution over which the box plot is built and is not an outlier (smallest value in the Interquartile range of the distribution). The most feasible option will be 105 as the maximum value of the box plot. Here the largest value is 100000 but it is most likely to be an outlier and hence the box plot will not mark this as the maximum value. This point does not correspond to the highest value in your dataset. This point in the box plot represents the highest value in the data distribution over which the box plot is built which is not an outlier. The IQR is often seen as a better measure of a spread than the range (highest value-lowest value) as it is not affected by outliers. It is the difference between the lower quartile and upper quartile. The Interquartile range is from Q1 to Q3. It can be also seen as the middle value of the upper half. It splits lowest 75% (or highest 25%) of data. Upper quartile is also known as the third quartile. The lower quartile is the middle value of the lower half. Each group represents the one-fourth of the data set.

Quartiles are three points that divide the data set into four equal groups. The lower quartile is also known as the first quartile, splits the lower 25% of the data. If the number of values is even, the median is computed by averaging the two numbers closest to the middle. When the set contains an odd number of values, the median value is exactly in middle. Value or quantity that falls halfway between a set of values arranged in an ascending or descending order. Let us understand these 5 components of the box plot

Box and whisker plot median