The problem presents dot plots showing the 40-yard dash times of defensive backs for the Baltimore Ravens and the Kansas City Chiefs. The task is to determine which statements can be gathered from the dot plots. The two statements to consider are: A. The defensive backs on the Chiefs are faster on average. B. The speed of the defensive backs on the Chiefs varies.
2025/3/10
1. Problem Description
The problem presents dot plots showing the 40-yard dash times of defensive backs for the Baltimore Ravens and the Kansas City Chiefs. The task is to determine which statements can be gathered from the dot plots. The two statements to consider are:
A. The defensive backs on the Chiefs are faster on average.
B. The speed of the defensive backs on the Chiefs varies.
2. Solution Steps
* Analyze the dot plots. The Ravens' times are clustered between roughly 4.3 and 4.55 seconds. The Chiefs' times are clustered between roughly 4.4 and 4.55 seconds.
* Evaluate statement A: "The defensive backs on the Chiefs are faster on average." This statement is false. The Ravens have several players with faster times than any of the Chiefs players, and the overall distribution of the Ravens' times appears to be slightly faster than the Chiefs' distribution.
* Evaluate statement B: "The speed of the defensive backs on the Chiefs varies." This statement is true. The Chiefs' times are distributed across a range of values (approximately from 4.4 to 4.55 seconds), indicating that the speed of the defensive backs varies.
3. Final Answer
B