If the median of x-2- x-3- x-4- x-5- x-6 where x - 0 is 6- then x is equal to

The correct option is B 24 x/2, x/3, #160;x/4, #160;x/5, #160;x/6 Given x gt; 0 , so given data is in decreasing order and number of ter ...

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Standard X

Mathematics

Median

If the median...

Question

If the median of $\frac{x}{2}, \frac{x}{3}, \frac{x}{4}, \frac{x}{5}, \frac{x}{6}$ (where $x$ > 0) is $6$ , then $x$ is equal to

6

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18

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12

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24

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Solution

The correct option is B $24$
$\frac{x}{2}, \frac{x}{3}, \frac{x}{4}, \frac{x}{5}, \frac{x}{6}$
Given $x > 0$ , so given data is in decreasing order and number of terms is 5.
Hence median of the given data is $\frac{5 + 1}{2}$ th term $= \frac{x}{4} = 6$ (given)
$\Rightarrow x = 24$

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If the median of x2,x3,x4,x5,x6 (where x > 0) is 6, then x is equal to

The correct option is B 24x2,x3,x4,x5,x6Given x>0, so given data is in decreasing order and number of terms is 5.Hence median of the given data is 5+12th term =x4=6 (given)⇒x=24

If the median of $\frac{x}{2}, \frac{x}{3}, \frac{x}{4}, \frac{x}{5}, \frac{x}{6}$ (where $x$ > 0) is $6$ , then $x$ is equal to

The correct option is B $24$
$\frac{x}{2}, \frac{x}{3}, \frac{x}{4}, \frac{x}{5}, \frac{x}{6}$
Given $x > 0$ , so given data is in decreasing order and number of terms is 5.
Hence median of the given data is $\frac{5 + 1}{2}$ th term $= \frac{x}{4} = 6$ (given)
$\Rightarrow x = 24$