Normal distribution and constant variance

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Josh S Thompson
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Why do people say that RVs that have the normal distribution has a constant variance. What does that mean constant variance.
 
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Do you have a quote to put this in context? I have never heard "people say" this. So it would help to see where someone said it.
 
I think one of my professors said it but he just said it like, the normal distribution has constant variance or something like that.
 
You need to ask the professor. It is impossible for us to know what he or she meant with no context. If you get more context, whether from your professor or from a textbook, then please feel free to open a new thread.