# How would you compare two box and whisker plots?

##### 1 Answer

#### Answer:

Please see below.

#### Explanation:

A box and whisker plot is a summarized graph summarizing, the five numbers, minimum, lower quartile, median, upper quartile and maximum.

While the portion covering lower quartile, median and upper quartile appears as a box, minimum and maximum data points show up as whiskers at the two ends (see figure below). Obviously, while its total length indicates **range** of the data, the size of the box indicates interquartile range.

Let us now try to compare two date sets A and B, whose box and whisker chart is given below.

From this we observe that

(1) It is apparent that Data set A has a larger range suggesting that it has the worst and the best of the two.

(2) Further, although data set A has a higher maximum (and lower minimum), data set B has much higher median than data set A.

(3) Interquartile range of data set A is smaller, meaning data set A is more consistent around median than data set B.