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TS EAMCET · Maths · Statistics

The mean deviation from the arithmetic mean of the discrete data \(2,7,5,6,4,3,11,17,8\) is

  1. A \(\frac{17}{2}\)
  2. B \(\frac{10}{3}\)
  3. C \(\frac{37}{2}\)
  4. D \(9\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{10}{3}\)

Step-by-step Solution

Detailed explanation

Given observations are \(2,7,5,6,4,3,11,17,8\). \(\therefore \quad \bar{x}=\frac{2+7+5+6+4+3+11+17+8}{9}=\frac{63}{9}=7\) Now, \(M D=\frac{\Sigma d_i}{N}=\frac{30}{9}=\frac{10}{3}\)