(Solution) - On March 1 a group of 10 people signed up -(2025 Original AI-Free Solution)

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On March 1, a group of 10 people signed up for a weight-loss program. During the next two months, the lightest person lost 10 pounds, the heaviest person gained 5 pounds, and everyone else kept their same weight.
a. Did the range of the weights decrease, increase, or stay the same over the two-month period? Explain.
b. Did the IQR of the weights decrease, increase, or stay the same over the two-month period? Explain.