Q 5 The mean of 15 observation is 16 If each observation in the data is decreased by - Maths - Statistics

Question

Q 5 The mean of 15 observation is 16 If each observation in the
data is decreased by 25 %, what will the new mean of the data ?
[Ans 12]

Abhishek Jha · Accepted Answer

Dear Student,
Here is the solution of your asked query:

Let observations be x1,x2,
,x15According to question:x1+x2+x3+
+x1515=16⇒x1+x2+x3+ +x15=15×16⇒x1+x2+x3+
+x15=240 ;iNow required mean when each number is increased by 25% is given byMean=x1-25% of x1+x2-25% of x2+x3-25% of x3+
+x15-25% of x1515=x1-x14+x2-x24+x3-x34+
+x15-x15415  25%=25100=14=4x1-x14+4x2-x24+4x3-x34+
+4x15-x15415=3x14+3x24+3x34+ +3x15415=34×15x1+x2+x3+
+x15=34×15×240  Using i=12

Hope this information will clear your doubts about this topic

Regards

Q.5. The mean of 15 observation is 16. If each observation in the data is decreased by 25 %, what will the new mean of the data ? [Ans. 12]

Q.5. The mean of 15 observation is 16. If each observation in the data is decreased by 25 %, what will the new mean of the data ?
[Ans. 12]