How would the mean change if an additional number far away from the current mean were added to the dataset?
- It would always decrease
- It would always increase
- It would increase or decrease depending on the value
- It would not change
The addition of an additional number far away from the current mean would either increase or decrease the mean, depending on the value. If the added number is greater than the current mean, the mean will increase; if less, the mean will decrease. This illustrates how sensitive the mean is to outliers or extreme values.
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