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Question
Which measures of central tendency get affected if the extreme observations on both the ends of a data arranged in descending order are removed?
Options
Mean and mode
Mean and Median
Mode and Median
Mean, Median and Mode
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Solution
Mean and mode
Explanation:
Mean is defined as follows:
Mean = `"Sum of all the observations"/"Number of observations"`
So, if we remove the extreme values that both sum and total number of observations will change. Hence, the mean will also change.
Mode is that observation which occurs the most. So, if the extreme value of those values which occurs mostly than mode can affect it they are removed.
Median is the mid-value. So, if extreme values are removed then the mid-value remains the same. Hence, the median will not change.
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