How to Calculate Median

To find the median in a set of data, intial step is rearrange the set of data in ascending order or descending order. The mid-term value is the median for thae set of data.Half the numbers in the record are fewer, and half the numbers are greater. Establish the Median, put the numbers are known in value arrange and locate the middle number. But there are two middle numbers (as happens when there is an even amount of numbers) then average those two numbers.


Single middle number:

Example 1:

Establish the median for the following listing of value:

8, 13, 4, 7, 5

Solution:

Find the Median of: 8, 13, 4, 7, and 5 (Odd amount of numbers)

Line up your numbers: 4, 5, 7, 8, and 13 (smallest to largest)

The Median is: 7 (The number in the middle)

Example 2:

Establish the median for the following listing of value:

3, 8, 3, 4, 3, 6, 4, 1, 3

Solution:

Find the Median of: 3, 8, 3, 4, 3, 6, 4, 1, and 3 (Odd amount of numbers)

Line up your numbers: 1, 3, 3, 3, 3, 4, 4, 6, and 8 (smallest to largest)

The Median is: 3 (The number in the middle)


Double middle numbers:

Example 1:

Establish the median for the following listing of value:

8, 3, 4, 7, 2, and 6

Solution:

Find the Median of: 8, 3, 4, 7, 2, and 6 (Even amount of numbers)

Line up your numbers: 2, 3, 4, 6, 7, and 8 (smallest to largest)

Add the 2 middles numbers and divide by 2:

= (4 + 6) / 2

= 10 / 2

= 5

The Median is 5.

Example 2:

Establish the median for the following listing of value:

8, 8, 8, 9, 9, 9, 11 and 10

Solution:

Find the Median of: 8, 8, 8, 9, 9, 9, 11 and 10 (Even amount of numbers)

Line up your numbers: 8, 8, 8, 9, 9, 9, 10 and 11 (smallest to largest)

Add the 2 middles numbers and divide by 2:

= (9 + 9) / 2

= 18 / 2

= 9

The Median is 9


Example 3:

Establish the median for the following listing of value:

7, 8, 6, 9, 8, 7, 12 and 11

Solution:

Find the Median of: 7, 8, 6, 9, 8, 7, 12 and 11 (Even amount of numbers)

Line up your numbers: 6, 7, 7, 8, 8, 9, 11 and 12 (smallest to largest)

Add the 2 middles numbers and divide by 2:

= (8 + 8) / 2

= 16 / 2

= 8

The Median is 8