The different statistics we use to tell us about variance and error have different capabilities,particularly in regard to their accuracy and ability to withstand problems in the data.

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Different statistics, such as standard deviation, variance, and standard error, vary in their accuracy and robustness to outliers or other anomalies in the data. For example, standard deviation is sensitive to outliers and may not accurately represent the variability of the data if there are extreme values, while standard error is more robust but only provides an estimate of the sample mean's error, not the overall variability of the data.

The Different Statistics We Use to Tell Us About Variance