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NDA 2012
Exam
NDA
Year
2012
Subject
Mathematics
Chapter
Statistics

NDA 2012 · Mathematics · Statistics

The arithmetic mean of numbers a, b, c, d, e is M What is the value...

The arithmetic mean of numbers a,b,c,d,ea, b, c, d, e is M What is the value of (a−M)+(b−M)+(c−M)+(d−M)+(e−M)(a-\mathrm{M})+(b-\mathrm{M})+(c-\mathrm{M})+(d-\mathrm{M})+(e-\mathrm{M}) ?

Options

  1. AM
  2. Ba+b+c+d+ea+b+c+d+e
  3. C0
  4. D5 M

Correct answer

C. 0

Step-by-step solution

Mean =a+b+c+d+e5=M=\frac{a+b+c+d+e}{5}=\mathrm{M} New mean =(a−M)+(b−M)+(c−M)+(d−M)+(e−M)5=(a+b+c+d+e5)−M=M−M\begin{aligned} & =\frac{(a-\mathrm{M})+(b-\mathrm{M})+(c-\mathrm{M})+(d-\mathrm{M})+(e-\mathrm{M})}{5} \\ & =\left(\frac{a+b+c+d+e}{5}\right)-\mathrm{M}=\mathrm{M}-\mathrm{M}\end{aligned} New mean =0=0.
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