JEE Main 2026 — Statistics Question with Solution
JEE Main 2026 (02 April Shift 1)
Question
If the mean of the data
is , then is one of the roots of the equation :
| Class | ||||||
|---|---|---|---|---|---|---|
| Frequency |
is , then is one of the roots of the equation :
Choose an option
Show full solutionCorrect option: C
Correct answer
C
Step-by-step explanation
The class marks (mid-points) for the given classes are .
The sum of the frequencies is:
The sum of the products is:
The mean is given as . Using the formula for the mean :
Now, substituting into the given options to check which equation has as a root:
For :
Thus, is a root of .
Answer:
The sum of the frequencies is:
The sum of the products is:
The mean is given as . Using the formula for the mean :
Now, substituting into the given options to check which equation has as a root:
For :
Thus, is a root of .
Answer:
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 2026, 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.