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.

Respuesta :

Answer:

The uncertainty decreases

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:

[tex]u(x_{i})=\frac{s(\bar{x_{i}})}{\sqrt{n}}[/tex]

where  

[tex]u(x_{i})[/tex] is the uncertainty  

[tex]s(\bar{x_{i}})[/tex] is the standard deviation of the sample and

[tex]n[/tex] is the number of samples taken

As a result, when [tex]n[/tex] increases the uncertainity decreases