JEE Mains · Maths · STD 11 - 13. statistics
Let \(\bar X\) and \(M.D.\) be the mean and the mean deviation about \(\bar X\) of \(n\) observations \(x_i,\) \(i = 1, 2,........ , n.\) If each of the observations is increased by \(5,\) then the new mean and the mean deviation about the new mean, respectively, are
- A \(\bar X,M.D.\)
- B \(\bar X + 5,M.D.\)
- C \(\bar X,M.D. + 5\)
- D \(\bar X + 5,M.D. + 5\)
Answer & Solution
Correct Answer
(B) \(\bar X + 5,M.D.\)
Step-by-step Solution
Detailed explanation
Let \({{x_i}}\) be \(n\) observations, \(i = 1,2,...n\) Let \({\bar X}\) be the mean and \(M.D.\)be the mean deviation about \({\bar X}\). If each observation is incerased by \(5\) then new mean will be \(\bar X + 5\) and new \(M.D.\) about new mean wil be \(M.D.\) (…
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