Question

13. What is the five-number summary and how does it relate to the box and whisker plot?

Answer 1

The Five Number Summary is:

(i) Minimum Value

(ii) First Quartile Q1

(iii) Median Q2

(iv) Third Quartile Q3

(v) Maximum Value

The Box and Whisker Plot displays the Five Number Summary visually as follows:

Step 1:

First, we draw an equal interval scale on which to make our Box and Whisker Plot,

Step 2:

In the Box and Whisker Plot, we draw a rectangular box with the left end at the First Quartile Q1 and the right end the Third Quartile Q3.

Step 3:

Draw a vertical segment at the median value.

Step 4:

Draw 2 horizontal segments on each side of the box, the left side segment drawn to the minimum value and the right side segment drawn to the maximum value. These segments are called the whiskers.