A set of data with 100 observations has a mean of 267. There are six outliners in the data set, which have a mean of 688 if the six outliners are removed, what is the mean of the new data set?

Mathematics · High School · Thu Feb 04 2021

Answered on

Given : Mean of 100 observations = 267

Mean of 6 outliners = 688

Total = 267×100

         = 26700

Total of 6 outliners = 6 × 688

                                  =  4,128

 

Total When outliners are removed = 26700 - 4128

                                                            = 22,572

Now, Mean of remaining 94 observations 

= 22,572/ 94

=240.12

 

Therefore, the mean of 94 observations are 240.12.