How to Find the Median

INTRODUCTION:

Median is the middle value of a given numbers or allocation of their ascending order. Median is an average value of the two middle elements when the size of the allocation is even.

To locate the Median, place the numbers in ascending order and find the middle number.
If there are two middle numbers then average those two numbers to find median.


Median for Odd numbers


Ex 1:

Find the median for the following list of values:

9, 3, 44, 17, 15

Solution:

Find the Median of: 9, 3, 44, 17, and 15 (Odd amount of numbers)

Line up your numbers: 3, 9, 15, 17, and 44 (smallest to largest)

The Median is: 15 (The number in the middle)

Ex2:

Find the median for the following list of values:

13, 18, 13, 14, 13, 16, 14, 21, 13

Solution:

Find the Median of: 13, 18, 13, 14, 13, 16, 14, 21, and 13(Odd amount of numbers)

Line up your numbers: 13, 13, 13, 13, 14, 14, 16, 18, and 21 (smallest to largest)

The Median is: 14 (The number in the middle)


Median for Even numbers


Ex 1:

How to find the median for the following list of values:

8, 3, 44, 17, 12, and 6

Solution:

Find the Median of: 8, 3, 44, 17, 12, and 6 (Even amount of numbers)

Line up your numbers: 3, 6, 8, 12, 17, and 44(smallest to largest)

Add the 2 middles numbers and divide by 2:

= (8 + 12)/2

= 20 ÷ 2

= 10

The Median is 10.

Ex 2:

How to find the median for the following list of values:

8, 9, 10, 10, 10, 11, 11, 11, 12, 13

Solution:

Find the Median of: 8, 9, 10, 10, 10, 11, 11, 11, 12, and 13 (Even amount of numbers)

Line up your numbers: 8, 9, 10, 10, 10, 11, 11, 11, 12, and 13 (smallest to largest)

Add the 2 middles numbers and divide by 2:

= (10+11)/2

= 21/2

= 10.5

The Median is 10.5