JEE Main 2020 — Statistics Question with Solution
From: JEE Main 2020 (Online) 6th September Evening Slot
Question
Consider the data on x taking the values
0, 2, 4, 8,....., 2n with frequencies
nC0 , nC1 , nC2 ,...., nCn respectively. If the
mean of this data is , then n is equal to _________ .
0, 2, 4, 8,....., 2n with frequencies
nC0 , nC1 , nC2 ,...., nCn respectively. If the
mean of this data is , then n is equal to _________ .
Enter your answer
Show full solutionCorrect answer: 6
Correct answer
6
Step-by-step explanation
Mean =
=
We know,
(1 + x)n = ...(1)
Put x = 2, at (1) we get
3n - 1 =
And Putting x = 1 in (1), we get
2n =
Mean =
According to question,
=
3n = 729
n = 6
=
We know,
(1 + x)n = ...(1)
Put x = 2, at (1) we get
3n - 1 =
And Putting x = 1 in (1), we get
2n =
Mean =
According to question,
=
3n = 729
n = 6
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This is a previous-year question from JEE Main 2020, 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.