What is the mean deviation of the first 10 natural numbers?

This question was previously asked in
NDA-II 2024 (Maths) Official Paper (Held On: 01 Sept, 2024)
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  1. 2
  2. 2.5
  3. 3
  4. 3.5

Answer (Detailed Solution Below)

Option 2 : 2.5
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Explanation:

The mean of 10 natural numbers 

⇒ \(\overline{x} = \frac{1+2+3+4+....10}{10}\) 

\(\frac{10\times11}{2\times10}\) = 5.5

Mean deviation = \(\frac{[1- 5.5] [2-5.5] [3- 5.5] ... [10- 5.5]}{10} = 2.5\)

∴ Option (b) is correct.

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