If the median of x 5- x 4- x 2- x and x 3- where x-0- is 8 - find the value of x-

Arranging the observations in ascending order, we have x5,x4,x3,x2,x. Thus, the median is nbsp;x3. #8658;x3=8 #8658;x=3 #215;8 #8658;x=24 Thus, t ...

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Standard X

Mathematics

Finding Median of Grouped Data When Class Intervals Are Not Given

If the median...

Question

If the median of $\frac{x}{5}, \frac{x}{4}, \frac{x}{2}, x and \frac{x}{3}$ , where x > 0, is 8, find the value of x.

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Solution

Arranging the observations in ascending order, we have

$\frac{x}{5}, \frac{x}{4}, \frac{x}{3}, \frac{x}{2}, x$ .

Thus, the median is $\frac{x}{3}$ .

$\Rightarrow \frac{x}{3} = 8 \Rightarrow x = 3 \times 8 \Rightarrow x = 24$

Thus, the value of x is 24.

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If the median of x5,x4,x2,x and x3, where x > 0, is 8, find the value of x.

Arranging the observations in ascending order, we have x5,x4,x3,x2,x. Thus, the median is x3. ⇒x3=8⇒x=3×8⇒x=24 Thus, the value of x is 24.

If the median of $\frac{x}{5}, \frac{x}{4}, \frac{x}{2}, x and \frac{x}{3}$ , where x > 0, is 8, find the value of x.

Arranging the observations in ascending order, we have

$\frac{x}{5}, \frac{x}{4}, \frac{x}{3}, \frac{x}{2}, x$ .

Thus, the median is $\frac{x}{3}$ .

$\Rightarrow \frac{x}{3} = 8 \Rightarrow x = 3 \times 8 \Rightarrow x = 24$

Thus, the value of x is 24.