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Mathematics · 2020

JEE Main · 6 September 2020, Shift 2 · Q75

Consider the data on x taking the values 0,2,4,8, …, 2^n with frequencies ^n C_0,^n C_1,^n C_2, …,^n C_n respectively. If the mean of this data is…

Consider the data on $\displaystyle x$ taking the values $\displaystyle 0,2,4,8, \ldots, 2^{\mathrm{n}}$ with frequencies $\displaystyle { }^n C_0,{ }^n C_1,{ }^n C_2, \ldots,{ }^n C_n$ respectively. If the mean of this data is $\displaystyle \frac{728}{2^{\mathrm{n}}}$, then n is equal to \_\_\_\_.
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JEE Main 2020 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.