Question

Task A. Comparing two groups.

The boxplots below show the average monthly precipitation (rainfall), in inches, for two cities over 12
months. Refer to the boxplots to answer the questions that follow.

a. According to the boxplots, what is the approximate median precipitation for each city and what
does the median tell you about their precipitation?
b. Observe the first quartile (25%) of precipitation for each city. What is the approximate interval of
rainfall for each city in the first quartile?
C. Which city has the most variability in precipitation? Use the boxplot to provide evidence for your
answer.

Answer 1

a. According to the boxplots, the approximate median precipitation for each city is 1.3 in for San Francisco and 3.4 in for St. Louis

the median tells us that St. louis has higher precipitation

b. San Francisco = 0.3 in, and St. Louis = 3.2 in

C. San Francisco has the most variability in precipitation

What is a boxplot?

A boxplot is a graphical representation of the distribution of a dataset. It provides a summary of key statistical measures and allows for a visual comparison between different groups or datasets.

The median of a box plot is the line marked between the rectangular box.

The first end of the rectangular box (closer to zero) is the first quartile while the other end is the third quartile.

The median is the second quartile.

The larger the length of the rectangular box, the more the variability