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Median Calculator



How does the median Calculator work?

  • Enter the comma-separated values in the required input field.
  • Press The Calculate Button.
  • Use the Reset button to calculate new values.





Median calculator


Median calculator is used to find the middle value of the data set. It calculates the median and ascending order in a fraction of a second.


What is the median?


In central tendency, the median is the central number in the arranged set of data according to ascending or descending list of numbers. It is more descriptive of the data set than the mean.

Median is the 50% of the data set.


Formula of median


The formula of the median is different for the even and odd numbers of data values (n).

When n is even

median formula for even set of numbers

When n is odd

median formula for odd set of data values


How to calculate the median?


Here are a few examples of median to understand how to calculate it.

Example 1: For odd observations

Find the median of the given data set.

12, 34, 9, 6, 1, 4, 15

Solution

Step 1: Arrange the list of numbers in ascending order.

Ascending order = 1, 4, 6, 9, 12, 15, 34

Total observations = 7

Step 2: Now take the formula of the median.

Median = [(n+1)/2]th term

Median = [(7+1)/2]th term

Median = [8/2]th term

Median = 4th term

Hence, the median is the 4th term of the ordered terms.

Step 3: Find the 4th term of the ordered list.

9 is the 4th term so,

Median = 9

Example 2: For even observations

Find the median of the given data set.

2, 14, 6, 12, 4, 10

Solution

Step 1: Arrange the list of numbers in ascending order.

Ascending order = 2, 4, 6, 10, 12, 14

Total observations = 6

Step 2: Now take the formula of the median.

Median = 1/2 [(n/2)th + [n/2 + 1]th]

Median = 1/2 [(6/2)th + [6/2 + 1]th]

Median = 1/2 [3rd + [3 + 1]th]

Median = 1/2 [3rd + 4th]

Step 3: Find the mean of the third and fourth terms of the sequence.

Median = 1/2 [6 + 12]

Median = 1/2 [18]

Median = 9