
How do you find the median of 4 numbers?
Answer
443.7k+ views
Hint: There are two cases in finding the median one is when there are an odd number of values and second is when there is an even number of values. As we have to find the median of four numbers it means we have an even number of values. In this case we add two middle numbers and divide the sum by 2.
Complete step by step solution:
We have to explain how we can find the median of 4 numbers.
We know that median is the central element of a group of numbers arranged in the proper sequence according to their size. To find the median first we have to arrange the data according to their size. If we have an odd number of terms then the middle term is the median. If we have an even number of terms then we have to add two middle terms and then divide the sum by 2. The mean we get is the median.
Let us assume 4 numbers as 24,89,31,12
Let us arrange the numbers in ascending order then we will get
$\Rightarrow 12,24,31,89$
Now, as we have an even number of terms let us add two middle terms and divide the sum by 2. Then we will get
$\begin{align}
& \Rightarrow \dfrac{24+31}{2} \\
& \Rightarrow \dfrac{55}{2} \\
& \Rightarrow 27.5 \\
\end{align}$
Hence $27.5$ is the median.
Note:
Data is categorized into two types one is grouped data and second is ungrouped data. Above discussed procedure is for ungrouped data. For grouped data we will use the frequency distribution. First we need to calculate the cumulative frequency then we will use the following formula to calculate median:
$Median=l+\left( \dfrac{h}{f} \right)\left( \dfrac{n}{2}-c \right)$
Where, l = lower class interval
h = class interval size
f = median class’s frequency
n = total frequency
c = cumulative frequency of preceding class.
Complete step by step solution:
We have to explain how we can find the median of 4 numbers.
We know that median is the central element of a group of numbers arranged in the proper sequence according to their size. To find the median first we have to arrange the data according to their size. If we have an odd number of terms then the middle term is the median. If we have an even number of terms then we have to add two middle terms and then divide the sum by 2. The mean we get is the median.
Let us assume 4 numbers as 24,89,31,12
Let us arrange the numbers in ascending order then we will get
$\Rightarrow 12,24,31,89$
Now, as we have an even number of terms let us add two middle terms and divide the sum by 2. Then we will get
$\begin{align}
& \Rightarrow \dfrac{24+31}{2} \\
& \Rightarrow \dfrac{55}{2} \\
& \Rightarrow 27.5 \\
\end{align}$
Hence $27.5$ is the median.
Note:
Data is categorized into two types one is grouped data and second is ungrouped data. Above discussed procedure is for ungrouped data. For grouped data we will use the frequency distribution. First we need to calculate the cumulative frequency then we will use the following formula to calculate median:
$Median=l+\left( \dfrac{h}{f} \right)\left( \dfrac{n}{2}-c \right)$
Where, l = lower class interval
h = class interval size
f = median class’s frequency
n = total frequency
c = cumulative frequency of preceding class.
Recently Updated Pages
Master Class 11 Accountancy: Engaging Questions & Answers for Success

Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Trending doubts
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

Why is there a time difference of about 5 hours between class 10 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

What constitutes the central nervous system How are class 10 biology CBSE

Write a letter to the principal requesting him to grant class 10 english CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE
