An extreme value will drag the mean value towards it.
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yes
No they do not (or at least they have less of a significant impact) and this is the benefit of using the median average over the mean average.
extreme values don't affect the mode
Not an extreme value.
No, extremely high or low values will not affect the median. Because the median is the middle number of a series of numbers arranged from low to high, extreme values would only serve as the end markers of the values.