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AP EAMCET · Maths · Statistics

The mean deviation about the mean for the following data is

  1. A 35
  2. B 10
  3. C 15
  4. D 12
Verified Solution

Answer & Solution

Correct Answer

(B) 10

Step-by-step Solution

Detailed explanation

\begin{aligned} \because \quad \bar{X} & =\frac{\Sigma f_i x_i}{\Sigma f_i}=\frac{2800}{80}=35 \\ \text { M.D. } & =\frac{1}{N} \sum_{i=1}^n f_i\left|x_i-\bar{x}\right| \\ & \left.=\frac{1}{80} \sum_{i=1}^n f_i\left|x_i-35\right| \quad \text { [Here, } N=80\right] \\ &…