1) The mean of the data set comprising of 16 observations in 16. If one of the observation valued 16 is deleted and three new observations valued 3,4 and 5 are added to the data, then the mean of the resultant data is A) 16.8 B) 16.0 C) 15.8 D) 14.0 Answer: Option DExplanation:Given , x1+x2+x3+...+x1616=16 ⇒ ∑16i=1x1=16×16 Sum of new observations =∑18i=1yi=(16×16−16)+(3+4+5)=252 Number of observations =18 ∴ New mean = ∑18i=1yi18=25218=14