darts are to each other. Note that good precision
is necessary for accuracy but does not guarantee
it. Three closely spaced darts may be far from
the bull’s-eye.
A dartboard analogy (Figure 1) shows the
difference between precision and accuracy. Ac-
curacy depends on how close the darts are to the
bull’s-eye. Precision depends on how close the
SUPPLEMENT 1 S3
Uncertainty, Accuracy,
and Precision in Scientifi c
Measurements
How do we know whether a scientifi c measure-
ment is correct? All scientifi c observations and
measurements have some degree of uncertainty
because people and measuring devices are not
perfect.
However, scientists take great pains to reduce
the errors in observations and measurements by
using standard procedures and testing (calibrat-
ing) measuring devices. They also repeat their
measurements several times, and then fi nd the
average value of these measurements.
It is important to distinguish between
accuracy and precision when determining
the uncertainty involved in a measurement.
Accuracy is how well a measurement conforms
to the accepted correct value for the measured
quantity, based on many careful measurements
made over a long time. Precision is a measure
of reproducibility, or how closely a series of
measurements of the same quantity agree with
one another.
Good accuracy
and good precision
Poor accuracy
and poor precision
Poor accuracy
and good precision
Figure 1 The distinction between accuracy and precision. In scientific measurements, a measuring de-
vice that has not been calibrated to determine its accuracy may give precise or reproducible results that
are not accurate.