Which of the following is most affected by extreme observations?

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Mode

Median

Mean

None of these

answer is C.

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Detailed Solution

Given extreme observations.
Mean is the sum of all the observations divided by the number of observations.
As calculating mean all the observations are taken, it is much affected by the extreme values.
Median is the middle value when the data is arranged in the ascending order.
Mode is the value which is repeated the most number of times.
Thus, mean is most affected by extreme observations.
Therefore, option (3) is correct.

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