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AP EAMCET · Maths · Statistics

The mean deviation about the median of the numbers \(2,3,5,20,17,15,13,11,9,7\) is

  1. A 10
  2. B 4.8
  3. C 5.4
  4. D 5
Verified Solution

Answer & Solution

Correct Answer

(D) 5

Step-by-step Solution

Detailed explanation

Ordered data: \(2,3,5,7,9,11,13,15,17,20\) Median \(M = \frac{9+11}{2} = 10\) Sum of absolute deviations \(\sum |x_i - M| = |2-10|+|3-10|+|5-10|+|7-10|+|9-10|+|11-10|+|13-10|+|15-10|+|17-10|+|20-10| = 8+7+5+3+1+1+3+5+7+10 = 50\) Mean Deviation…