# Root mean square deviation question

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

https://brainmass.com/math/discrete-structures/root-mean-square-deviation-question-293509

#### Solution Preview

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 ...

#### Solution Summary

The expert examines the root mean square deviation question is presented.

$2.19