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NDA 2 2024 Maths, question 110

Topic: Statistics

Q110

What is the mean deviation of the first 1010 natural numbers?

  1. (a) 22
  2. (b) 2.52.5Correct answer
  3. (c) 33
  4. (d) 3.53.5

Solution.

Answer: (b) 2.52.5

  1. The mean and median of 1,…,10 are both 5.5.
  2. Absolute deviations are 4.5,3.5,2.5,1.5,0.5 and their mirror values, summing to 25.
  3. Dividing by 10 gives mean deviation 2.5.