Algebra-1

Question Analysis
This question involves recalculating the range of a dataset after modifying it (removing specific data points) using a dot plot.
The main focus is on understanding how removing extreme values affects the range and applying the range formula to the updated dataset.

Key Concept Explanation
Range After Data Modification: When data points are removed, the new range depends on the new maximum and minimum values of the remaining dataset.
Extreme Values: The "heaviest dogs" refer to the largest values in the dataset, which are the rightmost points in the dot plot. Removing them may reduce the maximum value, thus changing the range.

Step-by-Step Solution
Identify the original dataset and the values to remove:
Original data: 20, 20, 25, 25, 25, 30, 30, 30, 30, 35, 40, 40.
The two heaviest dogs have weights 40 and 40 (rightmost values). Removing them leaves: 20, 20, 25, 25, ...