Question

the median of 5,8,1,0,-4,6,7,0 is _____​

Answer 1

Given values are $5,8,1,0,-4,6,7,0$.

Median:

To find median of given numbers first we have to write numbers in ascending order.

If the given numbers are in odd count, then the median will be the middle term.

If the given numbers are in even count, then the median will be average of middle two terms.

Ascending order of given numbers:

$-4,0,0,1,5,6,7,8$

As the number of numbers is even, we have to do average of middle two terms.

Middle two numbers are $1,5$

Average of $1,5=\frac{1+5}{2}$

$=\frac{6}{2}$

$=3$

Therefore, median of given numbers is $3$.

Answer 2

Given,

$5,8,1,0,-4,6,7,0$

First arrange these numbers to ascending order

$-4,0,0,1,5,6,7,8$

Now these are $8$ numbers

For an even set of numbers median

$=[(n/2)$ th observation$+(n/2+1)$th observation$]/2$

$=[8/2$ th observation$+10/2$ th observation$]/2$

$=[4$th observation$+5$ th observation$]/2$

$=[1+5]/2$

$=6/2$

$=3$

Therefore, the median of  $5,8,1,0,-4,6,7,0$ is $3$.