I have a system that uses gyroscopes to ultimately give me the angles/orientation of an object. So, let's say that the object is sitting at 90 degrees. I might get some readings such as:
87.56632 deg 87.25641 deg 87.69428 deg
Let's say I get roughly 100 values, I know that the in a perfect world the gyroscope would give me 90 degrees. Well, since we are not in a perfect world I get values like those shown above.
Let's say that the values are not perfect due to some noise in the system. Is there some mathematical formulas that I can use to get an idea of relatively "how noisy" my data-set happens to be (purely from a fixed sample size of only the angles)?
In other words, what I am trying to do here is:
Get an idea of how noisy the data is bouncing around, with respect to the value I know it should be (exactly 90 degrees).