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NDA 2017
Exam
NDA
Year
2017
Subject
Mathematics
Chapter
Statistics

NDA 2017 · Mathematics · Statistics

If a variable takes values 0,1,2,3, , n with frequencies 1, C(n,...

If a variable takes values 0,1,2,3,…,n0,1,2,3, \ldots, \mathrm{n} with frequencies 1,C(n,1),C(n,2),C(n,3),….,C(n,n)1, C(n, 1), C(n, 2), C(n, 3), \ldots., C(n, n) respectively, then the arithmetic mean is

Options

  1. A2n2n
  2. Bn+1\mathrm{n}+1
  3. Cnn
  4. Dn2\frac{\mathrm{n}}{2}

Correct answer

D. n2\frac{\mathrm{n}}{2}

Step-by-step solution

The arithmetic mean is always between minimum and maximum value. So, \frac{\mathrm{n}}{2} is arithmetic mean.
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