(Solved): The definition of standard deviation is as follows on Investopedia: Standard deviation is a statist ...

The definition of standard deviation is as follows on Investopedia: Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean \( \mapsto \) and is calculated as the square root of the variance \( \hookrightarrow \). The standard deviation is calculated \( G \) as the square root of variance by determining each data point's deviation relative to the mean. According to this logic, then, if you have a very large variance, your data would be closer to the average. Is this true, mathematically speaking? False True