JEE Main 2015 — Statistics Question with Solution
From: JEE Main 2015 (Offline)
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 :
Choose an option
Show full solutionCorrect option: B
Correct answer
B14.0
Step-by-step explanation
Initially we have observations and among them one is
So, we have unknowns. Let those are
Mean of datal set
According to the question,
Now we deleted and replaced by there new numbers and
So, new mean
So, we have unknowns. Let those are
Mean of datal set
According to the question,
Now we deleted and replaced by there new numbers and
So, new mean
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Statistics chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2015, covering the Statistics chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.