Question

How can I find the median of $25,25,25,20?$

Answer 1

Hint: We will write the numbers in the ascending order. Then we will find the middle term of the given numbers. We know that even numbers have two middle terms. The median of an even number of terms is the average of the two middle terms.

Complete step by step solution:
Let us consider the given numbers, $25,25,25,20.$
We are asked to find the median of the given numbers. In order to find the median of the given numbers, we need to write them in the ascending order.
So, we will get the numbers in the ascending order as follows, $20,25,25,25.$
Now, we need to find the middle term of the given numbers.
As we can see, there are even a number of terms. So, we will get two middle terms. And thus, we will get the two numbers in the middle of the numbers arranged in the ascending order of the numbers. And they are $25,25.$
We know that the median of an even number of numbers is the average of the two numbers located in the middle when they are arranged in the ascending order.
Now, to find the average of the middle numbers, we need to, first, add the numbers.
We will get, $25+25=50.$
Now, to find the average of the numbers, we need to find the sum of the numbers with the number of terms. So, here, we have two numbers. Therefore, we need to divide the sum with $2.$
We will get $\dfrac{50}{2}=25.$

Hence the median of the given numbers is $25.$

Note: We know that the median of an odd number of terms is the middle term of the numbers when they are arranged in the ascending order. In statistics, Mean, Mode and median are three kinds of averages. Mean is the sum of the term divided by the number of terms. Median is the middle term for an odd number of terms and the average of the two middle terms for an even number of terms. Mode is the term that is most occurring.