Question

Find the median of:
(i) 10, 32, 17, 19, 21, 22, 9, 35

Answer 1

Answer:

arrange them in accending order

Answer 2

Given :-

• Number = 10,32,17,19,21,22,9,35

To find :-

• The median of given number

Solution :-

At first,arrange the given number in ascending order.

• 9,10,17,19,21,22,32,35

Now,

• n = 8 (even number)

when n is even then,

we know that,

$\small\blue{\bigstar}\:\:{\underline{\boxed{\rm\red{Median=\dfrac{1}{2}\bigg[\bigg(\dfrac{n}{2}\bigg)^{th}+\bigg(\dfrac{n}{2}+1\bigg)^{th}\:term\bigg]}}}}$

$\rm\small\longrightarrow\:Median=\dfrac{1}{2}\bigg[\bigg(\cancel\dfrac{8}{2}\bigg)^{th}+\bigg(\cancel\dfrac{8}{2}+1\bigg)^{th}\:term\bigg]$

$\rm\longrightarrow\:Median=\dfrac{1}{2}\bigg[4^{th}+5^{th}\:term\bigg]$

$\rm\longrightarrow\:Median=\dfrac{1}{2}\times\:19+21$

$\rm\longrightarrow\:Median=\dfrac{1}{\cancel{2}}\times\:\cancel{40}$

$\rm\longrightarrow\:Median=20$

Hence,the median of given number will be 20.

$\orange{\bigstar}\:\:{\underline{\boxed{\bf\green{More\:Information}}}}$

➝ When total number of numbers (n) is an odd number then the formula of median will be

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

➝ When total number of numbers (n) is an even number then the formula of median will be

$\rm\:Median=\dfrac{1}{2}\bigg[\bigg(\dfrac{n}{2}\bigg)^{th}+\bigg(\dfrac{n}{2}+1\bigg)^{th}\:term\bigg]$