If I understand it correctly, you're wondering why the normalized data returned by batchnorm is the same, no matter if you specify mean (mu) and variance (sigmaSq) values as inputs or not.
There are basically two modes in which batchnorm is used in deep learning: training mode and inference mode.
During training mode, mean and variance are computed directly from the current input data (aka "minibatch") and are used to normalize that minibatch of data. During training, several different minibatches of data are being processed and we're trying to compute running values for the mean and variance statistics so that we have approximate statistics for the entire data set.
For training mode, you can make use of the following two syntaxes:
During inference mode, we want to normalize each minibatch in exactly the same way, using the same mu and sigmaSq, namely the statistics of the entire training data set.
For inference mode, you can make use of this syntax:
In conclusion ... I suspect you wanted to try out the inference mode syntax (5 input arguments, one output argument) instead of the second training mode syntax I mentioned above (5 input arguments, 3 output arguments).
I hope this helps.