Question

The median of the observations 26,28,31,31,33,x,x+2,27,39,41 is 34 find the value of x

Answer 1

n= 10 which is even
so,
median = (n/2 )th term + (n/2 +1 )th term
------------------------------------------
2
5th term + 6th term
---------------------------= 34
2
33+x
--------=34
2
33+x= 68
x = 35

Answer 2

The value of x is 35

Step-by-step explanation:

Data : 26,28,31,31,33,x,x+2,27,39,41

No. of observations = 10(even)

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

Median = $\frac{\frac{10}{2}\text{th term}+(\frac{10}{2}+1) \text{th term}}{2}$

Median = $\frac{5 \text{th term}+6 \text{th term}}{2}$

Median = $\frac{33+x}{2}$

We are given that the median is 34

So,  $\frac{33+x}{2}=34$

$33+x=34 \times 2$

$33+x=68$

$x=68-33$

$x=35$

Hence The value of x is 35

#Learn more :

Find x if the median of the observation in ascending order 24, 25, 26, x+2, x+3, 30, 31, 34 is 27.5

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