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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
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The correct answer is:
$\left|x_1\right|-x_2$
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 $-x_1$ is replaced by $x_1$ and $-x_n$ is replaced by $x_n$ $\Rightarrow \mathrm{x}_1$ will be largest term and $x_2$ will be lowest term in this sequence.
now range will be $\left|x_1\right|-x_2$ hence option (c) is correct.
now range will be $\left|x_1\right|-x_2$ hence option (c) is correct.
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