What happens to the dataset when the standard deviation is small or large?

Question

In the context of this exercise, what happens to the dataset when the standard deviation is small or large?

Answer

When the standard deviation is small, the values will be less spread out and be closer to the mean. This will cause the overall shape of this dataset to appear less chaotic and more leveled.

When the standard deviation is large, the values will be more spread out from the mean. The shape of the dataset will appear to be more uneven and chaotic as the standard deviation increases.

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Thankyou for such clear explanation @jephos249

Correct me if Iā€™m wrong, but it would also mean that the distribution curve of a histogram based on our data would also flatten with a larger standard deviation, and spike with a smaller one right?

EDIT: it actually does. I will leave this link here, it helped me to understand this exercise better.

Cheers! :beer:

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