Question

If the median of x/5,x,x/4,x/3,x/2 is 8 what is its x value

Answer 1

Answer:

The value of x is 24.

Step-by-step explanation:

Given : If the median of x/5,x,x/4,x/3,x/2 is 8.

To find : What is the value of x?

Solution :

Data -  $\frac{x}{5},x,\frac{x}{4},\frac{x}{3},\frac{x}{2}$

Arranging in order,

Data -  $\frac{x}{5},\frac{x}{4},\frac{x}{3},\frac{x}{2},x$

Median = 8

The median of the odd data is given by term $\frac{n+1}{2}$

i.e. $\frac{5+1}{2}=\frac{6}{2}=3$

So, The third term is the median of the data.

i.e. $M=\frac{x}{3}$

$8=\frac{x}{3}$

$x=8\times 3$

$x=24$

Therefore, The value of x is 24.

Answer 2

Answer:

$Value \:of\:x = 24$

Step-by-step explanation:

$Given , data:\frac{x}{5},\:x,\frac{x}{4},\:\frac{x}{3},\frac{x}{2}\:and\:median=8$

Arrange the terms in ascending or descending order,we get

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

Number of terms=n (Odd)

$Median = \frac{n+1}{2}\:^{th} \:term \\=\frac{5+1}{2}\:^{th} \:term \\=\frac{6}{2}\:^{th} \:term \\=3^{rd}\:term\\=\frac{x}{3}$

$\implies \frac{x}{3}=8\:(given)$

$\implies x = 8\times 3$

$\implies x = 24$

Therefore,

$Value \:of\:x = 24$

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