Question

find the median of 15 47 48 81 17 27 9 3 10 75​

Answer 1

Answer:

median =n+1/2

n=11

11+1/2

12/2

=6

median is 6th term =17

Answer 2

$\bold\green{\underline{\underline{:SOLUTION:}}}$

Here, we have to find the median of

15,47,48,81,17,27,9,3,10,75

Arrange them in ascending order

3, 9, 10, 15, 17, 27, 47, 48, 75,81

Number of Nterm=10

It is an even number

• by using formula of median

$\bold\purple{\boxed{MEDIAN=\dfrac{1}{2}(\dfrac{N}{2}th\: observation+\dfrac{N}{2}+1}th\: observation}$

$⇒median = \frac{1}{2} ( \frac{n}{2}) th \: observation + ( \frac{n}{2} + 1)th \: observation \\ \\ ⇒median = \frac{1}{2}( \frac{10}{2})th \: observation + ( \frac{10}{2} + 1)th \: observation \\ \\ ⇒median = \frac{1}{2} (5th \: observation + 6th \: observation) \\ \\ ⇒median = \frac{1}{2}( 17 + 27)th \: observation \\ \\ ⇒median = \frac{1}{2} \times 44 \\ \\ ⇒median = 22$

HENCE:-

• The median of the data=22