I have been reading about the quantisation error which is considered as standard deviation too.

1-the quantization error is calculated as the rms value of :

\[ P_{\text{noise}} = \frac{\text{V_FS}^2}{12 \times 2^{2n}} \]

2-the standard deviation of quantization noise:

\[ \sigma = \frac{\text{LSB}}{\sqrt{12}} \]

I am trying to understand this so i can start learning ow noise shaping and the use of average reduce noise.