Engineering
Mathematics
Measure of Central Tendency
Question

The mean of the data set comprising of 16 observations is 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

16.0

15.8

14.0

16.8

JEE Advance
College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Solution

Let Observations be

x1, x2, x3, .........., x16

       n = 16,  x¯= 16

⇒        16=x1+x2+......+x1616

⇒        x1 + x2 + ......... + x16 = 256

Let x1 = 16 (deleted)

⇒        (x2 + x3 + .......... + x16) = 256 – 16 = 240

       New mean

12+(x2+x3+......+x16)18=12+24018=25218=14