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TS EAMCET · Maths · Statistics

The mean deviation from the mean of the discrete data \(2,3,5,7,11,13,17,19,22\) is

  1. A 8
  2. B 7.5
  3. C 5.5
  4. D 6
Verified Solution

Answer & Solution

Correct Answer

(D) 6

Step-by-step Solution

Detailed explanation

\(\bar{x} = \frac{2+3+5+7+11+13+17+19+22}{9} = \frac{99}{9} = 11\) \(\text{MD} = \frac{|2-11|+|3-11|+|5-11|+|7-11|+|11-11|+|13-11|+|17-11|+|19-11|+|22-11|}{9}\) \(\text{MD} = \frac{9+8+6+4+0+2+6+8+11}{9}\) \(\text{MD} = \frac{54}{9} = 6\)