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

Question

Options are :

1-mean and media  

2-mean,media and mode 

3-mean and mode 

4-mode and median

Solve it stepwise to verify the correct option  

Answer 1

If you remove extreme values from both end, you lower the sum of total number as well as lower the number of items. 

 

Recall, Mean = Sum of all items/ (total number of items)

 

Lowering both numerator and denominator will decrease the mean. 

 

Median being the middle number will not be affected 

 

If the values you removed from the end happens to be the values that repeated the most, then modes can can be affected as well.

 

Therefore the answer is 3: Mean and Mode.

 

I hope this helps.