Question

If the median of data in ascending order 30,32,
49,50,2x,2x+2,73,78,85,96 is 63 then find the value of x

Answer 1

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Answer 2

The value of x is 31.

Step-by-step explanation:

Given : If the median of data in ascending order 30,32, 49,50,2x,2x+2,73,78,85,96 is 63.

To  find : The value of x ?

Solution :

Since the numbers are even then the median is given by,

$M=\frac{1}{2}[\frac{n}{2}^{th}+(\frac{n}{2}+1)^{th} ]$

Here, M=63 and n=10

$63=\frac{1}{2}[\frac{10}{2}^{th}+(\frac{10}{2}+1)^{th}]$

$63=\frac{1}{2}[5^{th}+6^{th}]$

5th term is 2x and 6th term is 2x+2.

$63=\frac{1}{2}[2x+2x+2]$

$63=\frac{1}{2}[4x+2]$

$63=2x+1$

$2x=62$

$x=\frac{62}{2}$

$x=31$

Therefore, the value of x is 31.

#Learn more

In medain number of observation of 'n'is odd.then median=

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