Question

If the median of data (arranged in ascending order ) 31,33,35,x,x+10,48,48,50 is 40, then find the value of x

Answer 1

Answer:

35

Step-by-step explanation:

Median is the middlemost number, when the data is arranged in the increasing or decreasing order.

Median = 40 - Given

The given data in increased order is,

31,33,35,x,x+10,48,48,50

Since there are 8 elements, the number of elements is Even. Hence it has 2 middle values.

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

$40=\frac{(\frac{8}{2})th +(\frac{8}{2}+1 )th)}{2} term$

$40=\frac{4th + 5th}{2}$

$40 = \frac{x + x + 10}{2}$

$\frac{2x+10}{2} = 40$

$2x + 10 = 80$

$2x = 80 - 10$

$2x = 70$

$x = 35$

So, the middlemost elements are:

x = 35 and x + 10 = 35 + 10 = 45

Answer 2

Answer:

the answer is x = 35

Step-by-step explanation:

as the number of observations are 8 so the median will be the mid value of 4th and 5 th observation

so 4 th observation is x

and 5th observation is x+10

given median is 40

Soo...

x+ x+ 10/2 =40

2x + 10 = 40×2

2x +10 =80

2x = 80 -10

2x = 70

x= 70 /2

x = 35

sooo..

x= 35 and

x+ 10 = 35 + 10 = 45

average of 35 and 45 is 40

and the median is 40

hope it helps u ..