JEE Main 2026 — Statistics Question with Solution
JEE Main 2026 (06 April Shift 1)
Question
A data consists of observations . If and , then the ratio of mean to standard deviation of this data is:
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
Given and .
Expanding the first equation:
--- (1)
Expanding the second equation:
--- (2)
Subtracting (2) from (1):
Adding (1) and (2):
Mean () is given by:
Variance () is given by:
Standard deviation () is .
The ratio of mean to standard deviation is:
Answer:
Expanding the first equation:
--- (1)
Expanding the second equation:
--- (2)
Subtracting (2) from (1):
Adding (1) and (2):
Mean () is given by:
Variance () is given by:
Standard deviation () is .
The ratio of mean to standard deviation is:
Answer:
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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.