To find the range of a set of numbers, you subtract the smallest number from the largest number.
First, let's analyze the original set of numbers: 624531434.
The digits in the set are: 6, 2, 4, 5, 3, 1, 4, 3, 4.
- The largest number is 6.
- The smallest number is 1.
Now we calculate the range of the original set:
\[ \text{Range} = \text{Largest} - \text{Smallest} = 6 - 1 = 5. \]
Next, if we replace the number 6 with 4, the new set of numbers becomes: 424531434.
The digits in the new set are: 4, 2, 4, 5, 3, 1, 4, 3, 4.
- The largest number in this new set is now 5 (the largest remaining digit).
- The smallest number remains 1.
Now we calculate the range of the new set:
\[ \text{Range} = \text{Largest} - \text{Smallest} = 5 - 1 = 4. \]
To summarize:
- The original range was 5.
- The new range after replacing 6 with 4 is 4.
Thus, the range changed from 5 to 4.
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