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

Answer 1

Mean and mode

Explanation:

Mean is defined as follows:

Mean = `"Sum of all the observations"/"Number of observations"`

So, if we remove the extrema values 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.