What happens when your standard deviation is large?
Data is spread out from the mean
When the standard deviation is large, it means that the data points in a dataset are more spread out and have a wider range of values from the mean. This implies that there is a great variability among the data points and the dataset is more diverse. Additionally, a large standard deviation indicates that the data points are far away from the mean, which implies that the dataset has more extreme values. On the other hand, a small standard deviation implies that the data points are closer to the mean and there is less variability in the dataset. Therefore, a large standard deviation can be interpreted as an indication of greater uncertainty, while a small standard deviation represents more precise data.
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