Monday 4 July 2016

Maths:Topic Four: "Measures of dispersion : Part 2"

Topic Four: "Measures of dispersion : Part 2"

 Definition:

What Is Median? Median means "MIDDLE". Here the median of values are the number which are located in the middle of its sequences. But it all dependence on the values and the the total of the values itself. 

I will show you how to find the median and I will try the best that I can to help you understand its concepts, with my own formula (Based on my understanding).

The first step of finding median is to "ARRANGE THE NUMBERS IN ASCENDING ORDER". Second Step is to cancel out or stroke out the numbers from the first sequence and last sequence, then the second sequence and the second last sequence, you need to to do this until you reach the middle number(Whether its consist of 1 number or 2 numbers: It all dependence on the sequence.).    

Here's few examples for "Median":

1. Find the median of the following sequence below:

3, 5, 2, 1, 8, 7, 6, 0, 4 

Okay, the first step is to arrange it into "ASCENDING" order.

0, 1, 2, 3, 4, 5, 6, 7, 8

Then, you need to cross out or stoke out the number(As mention before).

0, 1, 2, 3, 4, 5, 6, 7, 8

0, 1, 2, 3, 4, 5, 6, 7, 8

0, 1, 2, 3, 4, 5, 6, 7, 8

0, 1, 2, 3, 4, 5, 6, 7, 8

From the number sequence: you can see that the median is the number "4".

2. Find the median of the following sequence below:

3, 5, 2, 1, 8, 7, 6, 0, 4, 9

Just like the previous procedures:

Arrange in ascending order:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Stroke out or cross out the numbers:

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

0, 1, 2, 3, 4, 5, 6, 7, 8, 9

 Here as you can see: there is around 2 numbers in the middle: which are "4, 5". If you come across something like this, all you need to do is to:

First: Find the SUM of the numbers : 4 + 5 = 9

Second: DIVIDE the SUM by 2: 9 / 2 = 4.5 

Therefor: The median is 4.5. 

KEY-POINTS: 

  1. ARRANGE THE NUMBERS FIRST IN ASCENDING ORDER.
  2. STROKE OR CROSS OUT THE NUMBERS.
  3. THE MEDIAN WILL BE LOCATED IN THE MIDDLE.
  4. IF THE MIDDLE NUMBERS IS MORE THAN 1:
    1. FIND THE SUM OF THE NUMBERS
    2. DIVIDE THE SUM BY 2
To Be Continue....

1 comment:

  1. I love this topics, know why? because its easy to calculate, lol.anyway, if u got any other methods than this, do let me know!

    ReplyDelete