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AP EAMCET · Maths · Statistics

If the mean deviation of the data \(1,1+d\), \(1+2 d, \ldots, 1+100 d,(d>0)\) from their mean is 255 , then ' \(d\) ' is equal to

  1. A \(10.1\)
  2. B \(10.2\)
  3. C \(10.3\)
  4. D \(10.4\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(10.1\)

Step-by-step Solution

Detailed explanation

Mean \(\bar{x}=\frac{\text { Sum of quantities }}{n}\) \(=\frac{\frac{n}{2}(a+l)}{n} \quad[l=\) last team \(]\) \(\begin{aligned} & =\frac{1}{2}(a+l)=\frac{1}{2}(1+1+100 d) \\ & =1+50 d\end{aligned}\) \(\mathrm{MD}=\frac{1}{n} \Sigma\left|x_i-\bar{x}\right|\)…