Question

If the median of the observations x/5,x,x/4,x/2,x/3 is 8 then x= ________x;0

Answer 1

Answer:. x=24

Step-by-step explanation:

Median means middle most value.

Now arrange the terms in ascending order.

x/5,x/4,x/3,x/2,x

Here the middle most value is x/3

Hence, median=x/3

NOTE:As n+1/2 is the formula used.

Median =8

x/3=8

x=8*3

x=24

Answer 2

The value of x is 24.

Given:

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

To find:

• Find the value of x, if Median of the observations is 8.

Solution:

Concept\Formula to be used:

Median of un-grouped data:

• Arrange the numbers in ascending order.
• If number of data given are odd, then (n+1)/2 th data is median.
• If number of data given are even, the median is mean of n/2th and (n/2+1)th data.

Step 1:

Arrange the numbers in ascending order.

As numerators of all numbers are same, thus bigger the value of denominator; smaller is the number.

So,

Ascending order of given data:

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

Step 2:

Find the median of the given data.

As,

$n = 5$

Median=$\frac{(5 + 1)}{2}$th data

So, 3rd data is median.

Median is x/3.

Step 3:

Find value of x.

ATQ,

Median = 8

So,

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

or

$x = 3 \times 8$

or

$\bf \red{x = 24 }$

Thus,

$\bf x = 24$

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