Question

Median of the following: 16, 19, 27, 10, 5, 7, 12, 15. ​

Answer 1

16, 19, 27, 10, 5, 7, 12, 15

= 629

Answer 2

Answer:

Median of the data : 16, 19, 27, 10, 5, 7, 12, 15. ​ is  13.5

Explanation:

data : 16, 19, 27, 10, 5, 7, 12, 15. ​

first, we have to arrange the data in either ascending or descending order

            5, 7, 10, 12, 15, 16, 19, 27

total number of observations, n = 8

if n is odd, the median is given by the middle term ie, $(\frac{n+1}{2} )^{th}$ term.

if n is even, the median is the average of the middle two terms.

ie,$(\frac{n}{2} )^{th}$ and $(\frac{n}{2}+1 )^{th}$ terms.

here,

          $(\frac{n}{2} )^{th}$ term = 4th term = 12

    $(\frac{n}{2}+1 )^{th}$ term = 5th term = 15

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

⇒                 = (12+15) /2 = 27/2 = 13.5

hence, the required answer is 13.5.