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, how does a large or small standard deviation affect the shape of the Normal Distribution...

, how does a large or small standard deviation affect the shape of the Normal Distribution curve?

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Answer #1

We know that the shape of normal curve is dependent only on the standard deviation and not on the mean of sample data.

So, changing the standard deviation will definitely show a change in the shape of normal distribution curve

CASE 1:_ when the standard deviation is small

In case of small standard deviation, the normal distributuion curve is more concentrated around the mean or centre. This means that the normal distribution curve is narrower in case of small standard deviation.

CASE 2:_ when the standard deviation is large

In case of large standard deviation, the normal distributuion curve is less concentrated around the mean or centre. This means that the normal distribution curve is wider in case of small standard deviation.

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