To find out how the range would change if one of the 1's in the number set is replaced with a 2, we first need to determine the current range of the set of numbers.
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Current Numbers: The numbers in the set are: 7, 9, 3, 1, 1, 5, 1, 1, 4 (which we get by separating the digits of the original number 7931151114).
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Current Minimum and Maximum:
- Minimum (min) = 1
- Maximum (max) = 9
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Calculate Current Range:
- Current Range = max - min = 9 - 1 = 8
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Replacing one of the 1's with a 2: If we replace one of the 1's with a 2, the new set of numbers will be: 7, 9, 3, 2, 1, 5, 1, 1, 4.
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New Minimum and Maximum:
- Minimum remains = 1
- Maximum remains = 9
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Calculate New Range:
- New Range = max - min = 9 - 1 = 8
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Change in Range:
- The increase in the range = New Range - Current Range = 8 - 8 = 0
Thus, the range would not increase at all if one of the 1's is replaced by a 2. The range would remain the same.
Answer: The range would not increase; it remains 8.
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