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Here is an example.

Consider the range of numbers from 4-6.

The range is two. The center is 5.

Consider a second range of numbers from 3-7.

The range is 4. The center is 5.

In this case, the ranges are different but the centers are the same.

Consider another two ranges of numbers.

3-5 and 101-103.

In each case, the range is 2, but the centers are 4 and 102.

I hope you can see how range and center are independent measurements.

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Q: Why is range not a measure of center?
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