Algebra-1

Question Analysis
This question involves calculating the range of a dataset after adding a new data point, using a line plot as context.
The main focus is on determining whether the new data point affects the maximum or minimum value and recalculating the range accordingly.

Key Concept Explanation
Range with Added Data: Adding a new value may or may not change the range, depending on whether the new value is larger than the original maximum or smaller than the original minimum. If not, the range remains unchanged.
Original vs. Updated Extremes: The range only changes if the new value becomes the new maximum or minimum.

Step-by-Step Solution
Identify the original dataset and the new value:
Original data: 1, 1, 2, 3, 3, 3, 4, 5, 5, 6.
New data point: 4 (books borrowed by the new student). Updated dataset: 1, 1, 2, 3, 3, 3, 4, 4, 5, 5, 6.
Find the origi...