Question

If the median of data 16,18,20,24-x,20+2x,28,30,32 is 24 then x=

Answer 1

Answer:  x = 4

& Step-by-step explanation:

Total no. of terms = 8

$Median=\frac{(\frac{n}{2} )^{th}term+(\frac{n}{2}+1)^{th}term }{2}$

$Median=\frac{(24-x)+(20+2x)}{2}=24$ (given)

$=> Median =\frac{24-x+20+2x}{2}=24\\\\ => \frac{44+x}{2} =24\\\\=>44+x =48\\\\ =>x=4$

Hope helps u.....

Answer 2

The value of x is 4.

Given:

• $16, \: 18, \: 20, \: 24 - x, \: 20 + 2x, \: 28, \: 30, \: 32$
• Median of given data is 24.

To find:

• Find the value of x.

Solution:

Concept to be used:

Median of ungrouped data:If n is even and data is arranged in ascending order.

Median = Mean of $\frac{n}{2}^{th} \:and \:( \frac{ n}{2} + 1) ^{th}$ terms.

Step 1:

Find the value of n.

Total numbers are 8.

$\bf n = 8$

Median will be mean of terms shown below;

$\frac{8}{2} = 4^{th} \: term$

$\frac{8}{2} + 1 = {5}^{th} \:term$

Fourth term is 24-x and fifth term is 20+2x.

Step 2:

Find the value of x.

It is given that median is 24.

$24 = \frac{24 - x + 20 + 2x}{2}$

$44 + x = 48$

$x = 48 - 44$

$\bf x = 4$

Thus,

The value of x is 4.

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