Normal distribution and constant variance

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Discussion Overview

The discussion centers around the concept of normal distribution in relation to constant variance, exploring what is meant by the term "constant variance" and seeking clarification on its implications within the context of random variables (RVs).

Discussion Character

  • Conceptual clarification, Debate/contested

Main Points Raised

  • One participant questions the meaning of "constant variance" in relation to normal distribution and seeks clarification on why this is stated.
  • Another participant requests a quote or source to provide context for the claim about normal distribution and constant variance.
  • A participant recalls that a professor mentioned the concept but does not provide specific details or context.
  • One participant suggests that the original poster should consult their professor for clarification, emphasizing the need for context to understand the statement fully.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the meaning of "constant variance" as it relates to normal distribution, and there is a lack of agreement on the validity of the statement without further context.

Contextual Notes

The discussion highlights a potential lack of clarity regarding the definitions and implications of constant variance in the context of normal distribution, as well as the need for specific examples or references to support claims.

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.
 

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