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Why is it sometimes more useful to consider variance instead of a mean? Please provide a real life example.

Why is it sometimes more useful to consider variance instead of a mean? Please provide a real life example.
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When we are dealing to process of high accuracy, then we want the deviations to be minimum. We want the process to output a certain value with high confidence value. The spread of value should be as low as possible. Otherwise it may cause havoc in the system. For example, in space system operation accuracy is required such that the value that comes as output would become quite deterministic

In such cases it is the variance that is important and looked for.

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