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When would you say the mean alone can tell the story?

2024-12-02 20:16
2024-12-02 23:30

When the data is fairly evenly distributed. For instance, in a manufacturing process where the lengths of produced parts have a very small variance. If the mean length is 5 cm, it can tell the story of the typical part length.

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If we are looking at something like the average time it takes for a particular machine to complete a task over a short period with consistent conditions. Say the mean time is 2 minutes. Here, the mean can tell the story as there are no significant outliers or changes in the process. The mean gives a good indication of how long the task usually takes.

In a situation where the data represents a homogeneous population. For example, the average weight of a specific breed of puppies in a small, well - managed kennel. If the mean weight is 3 kg, it can tell the story of the typical puppy weight in that kennel. Since the population is relatively uniform, the mean is a good representation without having to consider other measures like variance or individual weights in detail.

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