Will the mean of the data set increase or decrease if 14 is removed from the set? What is the new mean?

21, 23, 22, 26, 43, 29, 28, 22, 14, 27

Question

Will the mean of the data set increase or decrease if 14 is removed from the set? What is the new mean?
 
21, 23, 22, 26, 43, 29, 28, 22, 14, 27

anonymous · Answer

it will increase and the new mean is 26.777

anonymous · Answer

thanks!

anonymous · Answer

as long as you understand why

anonymous · Answer

yh i thought it was that i was just checking

anonymous · Answer

Let us first find the mean including 14
$$mean = \frac{21+23+ 22+ 26+ 43+ 29+ 28+ 22+ 14+ 27}{10}= \frac{255}{10} =25.5$$

Let us first find the mean excluding 14
$$mean = \frac{21+23+ 22+ 26+ 43+ 29+ 28+ 22+ 27}{10}= \frac{241}{9} =26.77$$
 Since the mean after removing 14 is greater than before. So it will increase.


@Answermehhhhh