Question

is the median of the following array 59, 62, 65, x, x+2, 72, 85, 99 is 67,then x=​

Answer 1

Answer:

X=67

Step-by-step explanation:

59:62:65:x:x+2:72:85:99

All cancelled

:x=67

Answer 2

The median of the following array 59, 62, 65, x, x+2, 72, 85,99 is 67,then x=​66

Step-by-step explanation:

Given numbers are 59, 62, 65, x, x+2, 72, 85, 99

Number of observation is 8

We know  Median is middle most value .

Here n is even so median is $\frac{\frac{n}{2}+(\frac{n}{2} +1) }{2}$ th observation

Median of the given data is  $\frac{\frac{8}{2} +(\frac{8}{2}+1) }{2}$ th observation

        here $\frac{8}{2}$th observation=4th observation = x

and 5th observation = x+2

       so Median is $\frac{\textrm{x+x+2}}{2}$

                            $=\frac{\textrm{2x+2}}{2}$

                            $=\textrm{x+1}$

                      

given median is 67

so $\textrm{x+1}=67$

or $\textrm{x}=66$