TS EAMCET · Maths · Statistics
The mean deviation about median of the numbers \(3 x, 6 x, 9 x, \ldots, 81 x\) is 91, then \(|x|=\)
- A 4
- B \(\frac{5}{2}\)
- C \(\frac{9}{2}\)
- D 8
Answer & Solution
Correct Answer
(C) \(\frac{9}{2}\)
Step-by-step Solution
Detailed explanation
\(n = 27\) Median \(M = 3x \times \frac{27+1}{2} = 3x \times 14 = 42x\) \(\text{Mean Deviation} = \frac{\sum_{k=1}^{27} |3kx - 42x|}{27} = \frac{|x| \sum_{k=1}^{27} |3k - 42|}{27}\)…
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