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Median

If the median...

Question

If the median of $46, 64, 88, 40, x, 76, 35, 91, 56, 32$ and $91$ is $58$ , find the value of $x$ .

18

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Solution

The correct option is B $19$
$\frac{(46 + 64 + 88 + 40 + x + 76 + 35 + 91 + 56 + 32 + 91)}{11}$
$= 58$

i.e. $(619 + x) / 11 = 58$

$x + 619 = 638$

$x = 638 - 619$

$x = 19$

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