Question

When the number of measurements increases, what happens to the uncertainty? Do not simply say it increases or decreases, there is a specific change and this is what we are looking for here.

Answer 1

The uncertainty decreases

Step-by-step explanation:

When multiple measurements are made the size of the sample increases. The uncertainty component caused by the variability of repeated observations (also known as "Type A uncertainty") can be calculated by the equation:

`u(x_(i))=\frac{s(\bar{x_(i)})}{√(n)}`

where

`u(x_(i))` is the uncertainty

`s(\bar{x_(i)})` is the standard deviation of the sample and

`n` is the number of samples taken

As a result, when
`n` increases the uncertainity decreases