How does multiplying several measurements affect precision?

Jul 4, 2018

see below

Explanation:

if you make only a measurement you can't say nothing about the precision with which you know its value.
the precision is the capacity by an instrument or by an operator or by a method to give ripetible results.
You can value precision making more measurement
the relative precision is
$d = \sqrt{\frac{{\Sigma}_{i} {\left({x}_{n} - {x}_{a}\right)}^{2}}{n - 1}}$
where
(Sigma_i (x_n- x_a)^2
is the square of the difference between each valour (xn ) andthe average valour (xa). n= the number of time that you have make the measure
Generally several times you measure, the more accurate is the result