Question

the mean of x/5,x,x/4,x/2 and x/3 (where x is greater than 0) is, 8, then the value of x is
​

Answer 1

Step-by-step explanation:

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}

5

x

,x,

4

x

,

3

x

,

2

x

Arranging in order,

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

5

x

,

4

x

,

3

x

,

2

x

,x

Median = 8

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

2

n+1

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

2

5+1

=

2

6

=3

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

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

3

x

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

3

x

x=8\times 3x=8×3

x=24x=24

Therefore, The value of x is 24.

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Answer 2

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