Question
You will find that in symmetrical distributions, the standard deviation can be helpful, but in skewed distributions, the standard deviation may not be much help.
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Answers
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GPT-4o mini
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In symmetrical distributions, the standard deviation is a useful measure of spread since it accurately reflects the variability of the data around the mean. However, in skewed distributions, the standard deviation may not capture the true spread of the data effectively, as it can be influenced by outliers and may not represent the typical distance of values from the mean. In such cases, other measures like the interquartile range or median may provide better insights.
In symmetrical distributions, the standard deviation is a useful measure of spread since it accurately reflects the variability of the data around the mean. However, in skewed distributions, the standard deviation may not capture the true spread of the data effectively, as it can be influenced by outliers and may not represent the typical distance of values from the mean. In such cases, other measures like the interquartile range or median may provide better insights.