The problem presents two box plots showing daily high temperatures in degrees Celsius recorded during July 2013 for St. Louis and Washington, D.C. The question asks us to determine which of the two given statements can be gathered from the box plots. Statement A: The daily high temperatures in July varied more noticeably in Washington, D.C. Statement B: The daily high temperatures in July were hotter on average in Washington, D.C.

1. Problem Description

The problem presents two box plots showing daily high temperatures in degrees Celsius recorded during July 2013 for St. Louis and Washington, D.C. The question asks us to determine which of the two given statements can be gathered from the box plots.

Statement A: The daily high temperatures in July varied more noticeably in Washington, D.C.

Statement B: The daily high temperatures in July were hotter on average in Washington, D.C.

2. Solution Steps

First, let's analyze statement A. The variation in temperature is represented by the length of the box plot. The longer the box plot, the greater the variation. Visually, we can observe that the length of the box plot for St. Louis (approximately from 20 to 38, a range of 18) is greater than the length of the box plot for Washington, D.C. (approximately from 24 to 37, a range of 13). Therefore, the temperatures varied more noticeably in St. Louis than in Washington, D.C. Statement A is false.

Next, let's analyze statement B. The average temperature can be estimated by the median, which is the line inside the box. The median temperature for St. Louis appears to be around 28 degrees Celsius, while the median temperature for Washington, D.C. appears to be around 31 degrees Celsius. The box for Washington, D.C. also appears to be shifted to the right compared to St. Louis. Thus, the daily high temperatures in July were hotter on average in Washington, D.C. Statement B is true.

3. Final Answer

B