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TS EAMCET · Maths · Statistics

There are \(n\) observations and all of them are negative numbers. The ascending order of these observations is \(x_1, x_2, \ldots ., x_n\). If the signs of the first term and last term in that order are changed, then the range of the data is

  1. A \(\left|x_1\right|-\left|x_n\right|\)
  2. B \(\left|x_{\mathrm{n}}-x_1\right|\)
  3. C \(\left|x_1\right|-x_2\)
  4. D \(\left|x_1\right|-\left|x_2\right|\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\left|x_1\right|-x_2\)

Step-by-step Solution

Detailed explanation

Given, \(x_1, x_2, x_3 \ldots \ldots \ldots \ldots . . . . x_n\) are negative numbers in ascending order. this can be written as \(-x_1,-x_2,-x_3 \ldots \ldots \ldots \ldots .,-x_n\left\{\right.\) where \(x_i>0\) and \(\left.i=1,2,3 \ldots n\right\}\) now according to question…
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