Something is accurate in this sense if the "true" value (ignoring any philosophical implications thereof) is contained in the error bounds of the measurement. W

Something is accurate in this sense if the "true" value (ignoring any philosophical implications thereof) is contained in the error bounds of the measurement. What you're noting is that a high accuracy measurement will, upon application of statistics, allow you to derive a new measure which is both high-accuracy and high-precision, regardless of the low precision of any inputs. Not all things being described with accuracy and precision are the result of processing large amounts of data though.