Question

21 , 23 , 15 , 28 , 18 , 14 , 20 , 9 find out the median

Answer 1

Answer:

19 this is correct I have checked

Answer 2

Answer:

Median = 19

Step-by-step Explanation:

Here Number of terms = 8

⇒ n = 8

Now, arrange the given terms in ascending order.

Observations → 9, 14, 15, 18, 20, 21, 23, 28

When n is an even number, we know that:

$\bf{Median=\dfrac{\bigg(\dfrac{n}{2}\bigg)^{th}term + \bigg(\dfrac{n}{2}+1\bigg)^{th}term}{2}}$

Substitute the value of n in the above formula.

$\implies \sf{Median=\dfrac{\bigg(\dfrac{8}{2}\bigg)^{th}term + \bigg(\dfrac{8}{2}+1\bigg)^{th}term}{2}}$

$\implies \sf{Median=\dfrac{4^{th}\:term+5^{th}\:term}{2}}$

Put the value of 4th term and 5th term from the observations written in ascending order.

$\implies \sf{Median=\dfrac{18+20}{2}}$

$\implies \sf{Median=\dfrac{38}{2}}$

$\therefore \boxed{\bf{Median=19}}$