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Conclusion
Statistics informs how tightly various data points clustered around the mean in a normally distributed data set. For example, if the data points bunches closely near the mean, the standard deviation will be a small figure. As a result, the bell curve will be steeply shaped and vise-versa.
The more popular statistical measures like mean (average) or median may mislead the user due to extreme data points. Still, standard deviation educates the user about how far the data point lies from the mean. Also, it helps compare two different data sets if the averages are the same for both data sets.
Hence, they present a complete picture where basic means can be misleading.
Frequently Asked Questions (FAQs)
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What is an example of why standard deviation is important?
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What is variance vs. standard deviation?
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