Q. 3

Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed?
A. Mean and mode

B. Mean and Median

C. Mode and Median

D. Mean, Median and Mode

Answer :

Mean is defined as the average of the given observations.

Where a1, a2, a3…an are data points, n being the number of data points. If a1 and an are removed, the mean becomes,

Which is clearly different than the previously obtained mean.

If it so happens that either a1 or an is the most repeated in the data, then removing the data points also alters the mode.

But since median is the midpoint, removing the end points does not affect in any way. So the correct answer is Mean and Mode.

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