Question

What is a standard? Does it's value count in determining the number of significant digits in the answer?

Answer 1

The standard deviation is a measure of the dispersion of a series of data

Result = x_{average} ± σ

Step-by-step explanation:

The standard deviation is a measure of the dispersion of a series of data, it is generally used when a series of measurements of some parameters are made and it is desired to take into account the statistical fluctuations of these measurements, its formula is

`\sigma = \sqrt { (\sum (x_i -x_(average) )^2)/( N) }`

where N is the number of measurements

This is a measure equivalent to the absolute error in a single measurement.

Therefore, the number of decimal places in a result must not be greater than the standard deviation.

Result = x_{average} ± σ