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Accurate relates to how close the actual measurement the instrument measures.

Precise relates to how much detail the instrument gives when measuring.

They are independent to each other:

An measurement can be precise and accurate (eg the value of π is 3.141592654)

An measurement can be precise and inaccurate (eg the value of π is 1.733677432)

An measurement can be less precise and accurate (eg the value of π is 3.14)

An measurement can be less precise and inaccurate (eg the value of π is 1.73).

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