JEE Mains · Maths · STD 11 - 13. statistics
Consider the data on x taking the values \(0,2,4,8, \ldots, 2^{n}\) with frequencies \({ }^{n} C_{0},{ }^{n} C_{1},{ }^{n} C_{2}, \ldots\) \({ }^{ n } C _{ n }\) respectively. If the mean of this data is \(\frac{728}{2^{ n }},\) then \(n\) is equal to
- A \(8\)
- B \(7\)
- C \(5\)
- D \(6\)
Answer & Solution
Correct Answer
(D) \(6\)
Step-by-step Solution
Detailed explanation
\( \begin{array}{|c|c|c|c|c|c|c|} \hline x & 0 & 2 & 4 & 8 & & 2^{ n } \\ \hline f & { }^{ n } C _{0} & { }^{ n } C _{1} & { }^{ n } C _{2} & { }^{ n } C _{3} & & { }^{ n } C _{ n } \\ \hline \end{array}\) Mean…
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