Question

the median of the given data 6,8,9,15,x,29,25,21,22,is8 find the value of x.

Answer 1

The value of x is 15

Solution:

Given that,

Data set: 6 , 8 , 9 , 15 , x , 29 , 25 , 21 , 22

Median = 8

Data set has odd number of observations

Thus, median is given as:

$Median = (\frac{x + 1}{2})^{th}\ observation$

Therefore,

$8 = \frac{x+1}{2}\\\\x+1=16\\\\x = 16-1\\\\x = 15$

Thus value of x is 15

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