Question

What is the relation between the standard deviation and the precision of a procedure? What is the relation between standard deviation and accuracy?

Short answer

Precision is inversely related to standard deviation; the higher the standard deviation, the less exact the experiment. The link between accuracy and standard deviation, on the other hand, is not required.

Step-by-step solution

Definition of standard deviation, precision and accuracy.

• The standard deviation is a measurement of a collection of values' variance or dispersion. A low standard deviation implies that the values are close to the set's mean, whereas a high standard deviation suggests that the values are dispersed over a larger range.
• The precision of a material refers to how near two or more measurements are to one other.
• The degree of similarity between a measurement and its real value is known as accuracy.

The relation between standard deviation and the precision of a procedure.

Precision, as defined, is the degree to which the obtained data are in agreement with one another. The standard deviation, which quantifies how near the data are to the estimated mean, may be used to judge whether an experiment is exact or not. As a result, standard deviation and accuracy are inversely proportional: the higher the standard deviation, the less exact the experiment.

The relation between standard deviation and accuaracy.

The term "accuracy" refers to how near the data is to the "true" value. As a result, since standard deviation solely evaluates experimental results, there is no required link between accuracy and standard deviation.