Imprecision (noun)

1. The quality of being imprecise; lack of accuracy or exactness.
2. An error or mistake resulting from this quality.

Origin:

Late 17th century from french imprécision or from latin imprecisionem meaning lack of precision.

Examples:

1. Due to the imprecision of the instrument, the measurements were not entirely reliable.
2. The imprecision in his statements left room for doubt.
3. The imprecision of the calculations led to a significant error in the final result.
4. Her imprecision with details often caused confusion.
5. The imprecision in his aim resulted in him missing the target.