Median Calculator

Median Calculator

Median calculator is a tool that is used to calculate the middle value of a set of numbers. 

What is the median?

The median is defined as the midpoint of any given data set. To find the median first arrange the data set in ascending order and then apply a formula which is mentioned below

Formula:

When n is odd

((n+1) /2) ^th term  

When n is even

[(n/2) ^th term + ((n/2) + 1) ^th term]/2

Where

• n is the number of values in a given data.

For instance, if X= 2,3,4,5 now count the values separated by commas which is 4 so n =4 here.

How to find the median?

Example 1:

Find the median if X= 4,2,5,3,8,7,1

Solution

Step 1:

Arrange the data in ascending order

X = 1,2,3,4,5,7,8

n = 7

Step 2:

The formula for the odd data set is given below to find the median

((n+1)/2) ^th term

Step 3:

= (7+1/2) ^th term

 = 4^th term

See the 4^th term in ascending order of data.

Hence, median = 4

Example 2:

Find the median if X= 3, 15, 2, 34, 11, 25

Solution

Step 1:

Arrange the data in ascending order

X = 2,3,11,15,25,34

n = 6

Step 2:

The formula for an even data set is given below to find the median

 [(n/2) ^th term + ((n/2) + 1) ^th term]/2

Step 3:

= [(6/2) ^th term + ((6/2) +1) ^th term]/2

= (3^rd term + 4^th term)/2

= 11+15/2

= 26/2

= 13

Hence, the median is 13.