Final answer:
Yes, it is possible to draw a boxplot based on the given five-number summary. The boxplot would have a box representing the first quartile to the third quartile, with a line inside representing the median. The whiskers would extend from the minimum to the maximum.
Step-by-step explanation:
Yes, it is possible to draw a boxplot based on the given five-number summary. A boxplot is a graphical representation of the distribution of a continuous variable. It consists of a box and whiskers that represent different statistical measures, including the minimum, first quartile, median, third quartile, and maximum.
In this case, the boxplot would have a box that extends from the first quartile (40) to the third quartile (90), with a line inside representing the median (80). The whiskers would extend from the minimum (40) to the maximum (100).
To visualize it:
Minimum (40) ----- Q1 (40) ----- Median (80) ----- Q3 (90) ----- Maximum (100)