Question

find the median of the following data: 20,14,6,25,18,13,19,10,9,12​

Answer 1

Given,

The numbers

20,14,6,25,18,13,19,10,9,12

To Find,

The median of the given numbers.

Solution,

First,

write the numbers in ascending order.

6,9,10,12,13,14,18,19,20,25

Meidan =

$\frac{1}{2}(n+1)^{th}$ term's value for odd number n.

Median =

$\frac{value of y^{th}term +value of y+1^{th}term}{2}$, for even number n.

n is the number of elements present.

Here,n = 10, even number.

Therefore,

Median = $\frac{V(y)+V(y+1)}{2}$  

y =$\frac{n}{2}$

$\frac{10}{2}$ = 5

$5^{th}$ term's value = 13

$5+1^{th}$ term's value =14

Median = $\frac{13+14}{2}$

= $\frac{27}{2}$

= 13.5.

The median of the given numbers is 13.5

Answer 2

Answer:

13.5 is the answer of the median