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Root mean square deviation question

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If there are 50 pieces of data which range from 0 to 100:
- with a mean of 60 and Root mean square deviation of 8 show that only 1 piece of data can equal 100
-with a mean of 60 and Root mean square deviation of 8.2 show that only 2 (or less) pieces of data can equal 100
-with an Root mean square deviation 4√2 or less show that no pieces of data can equal 100

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Suppose the data is represented as .
1. If the mean is and the Root Mean Square Deviation (RMSD) is , then I claim there is at most 1 piece of data that can equal to 100.
If not, then at least 2 ...

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