Calculating the Uncertainty for an Average Value [closed]

Question

How would I calculate the uncertainty for the average of this set?

$32.5 \pm 0.1$

$32.0 \pm 0.1$

$32.3 \pm 0.1$

Answer 1

You can callculate the standart deviation as show in this link http://en.wikipedia.org/wiki/Standard_deviation#Generalizing_from_two_numbers

The standart deviation $\sigma=\sqrt{\frac{\sum_{i=1}^n a_i^2}{n}-\left(\frac{\sum_{i=1}^n a_i}{n}\right)^2}$, where $a_i$ is the $i$-th number in your set and $n$ is the number of numbers you have in your set (in your example $a_1=32.5$, $a_2=32.0$, $a_3=32.3$ so $n=3$)

Using the numbers from your question I got $\sigma \approx 0.20548$