Is it normal that after Normalize the values aren't in the range [-1, 1]?

I’m trying to compute the mean and the std of my dataset. I found this topic and implemented some ideas. However, when I applied the normalization on the dataset and checked the values. Then I found out that most values weren’t on the range[-1, 1], some greater than 1 and 2.

Is it normal? Or should it be best just use the scaling that the ToTensor() does?

I used the following transforms: Resize(250), CenterCrop(224), RandomHorizontalFlip(), ToTensor().

That’s expected, since Normalize calculates the standard scores of the input (also known as z-scores) by subtracting the mean and dividing by the standard deviation.
This Wikipedia article explains it further.

Thank you. I was worried that I was doing something wrong.