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TS EAMCET · Maths · Statistics

Consider the followoing distribution

The sum of the mean deviation from the mean and the mean deviation from median of this distribution is

  1. A 6
  2. B \(\frac{16}{9}\)
  3. C 54
  4. D \(\frac{32}{9}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{32}{9}\)

Step-by-step Solution

Detailed explanation

Computation of mean deviation about mean We have, \( \bar{x}=\frac{\Sigma f_i X_i}{\Sigma f_i}=\frac{54}{9}=6 \Rightarrow M D=\frac{\Sigma f_i\left|x_i-\bar{x}\right|}{\Sigma f_i}=\frac{16}{9} \) Computation of mean deviation about median We have, \(\quad N=9\)…
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