What fraction of the measurements was within one RMS deviation of the average va

Question

What fraction of the measurements was within one RMS deviation of the average value (no more than one RMS deviation away from the average) and what fraction was outside this range? Answer for each of the two parts of the experiment. With your answer in mind give a qualitative description of the approximate meaning and usefulness of the RMS deviation as used in this experiment. This question may require some thought (think carefully). Can you use the RMS deviation to predict anything about the outcome of one more trial? How? (Think carefully.)

Explanation / Answer

In a standard normal distribution, RMS Deviation=Standard deviation

Within one RMS deviation of the average value, 68% of the data values will be present. And 22% will be present outside one RMS Deviation range.

The experiment performed here is unknown.

In any experiment, RMSE punishes bigger deviations than smaller ones.

And by squaring the errors, negative and positive errors don't cancel out.

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