Consider the data on x taking the values 0, 2, 4, 8,....., 2ⁿ with frequencies ⁿC₀, ⁿC₁, ⁿC₂,...., ⁿC n respectively. If the mean of this data is 728/(2ⁿ), then n is equal to _ _ _ _ _.

Statistics and Probability: JEE Main 2020 Mathematics question

JEE Main 2020 · 6 Sep, Evening shift · Q41

JEE Main 20206 Sep, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Consider the data on x taking the values 0, 2, 4, 8,....., 2^n with frequencies ^nC₀ , ^nC₁ , ^nC₂ ,...., ^nC_n respectively. If the mean of this data is

{{728} \over {{2^n}}}

, then n is equal to _________ .

Your answerType your answer. Integers and decimals are accepted.

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