Standard deviation indicates smoothness in terms of the variation between closes and a moving average. Something like the Average True Range indicator will tell you what's going on with ranges.
Ah, yes, makes sense. Thanks very much.
SD will tell you how close price is staying to average price - higher SD means more divergence, lower SD means less. Keep in mind that we're talking moving average here, so if a market is trending the average will be moving along with it.
You seem to be mixing terminology here. A "bar" is high to low, with close being contained somewhere therein. Up to this point you've been talking about closing prices.
As for the envelop, you could normalize the reading by dividing the width by the midpoint.