Thursday, April 7, 2011

Median :D

he median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distribution.
Median:
Advantages: Finds the middle number of a set of data, so outliers have little or no effect.

Disadvantages: If the gap between some numbers is large, while it is small between other numbers in the data, this can cause the median to be a very inaccurate way to find the middle of a set of values.The median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distribution.
  • The median is the middle value, so I'll have to rewrite the list in order:
    • 13, 13, 13, 13, 14, 14, 16, 18, 21
  • There are nine numbers in the list, so the middle one will be the (9 + 1) ÷ 2 = 10 ÷ 2 = 5th number:
    • 13, 13, 13, 13, 14, 14, 16, 18, 21
  • So the median is 14.


he median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distribution.
he median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distri
guys enough!!!!!



The Median is the "middle number" (in a sorted list of numbers).

How to Find the Median Value

To find the Median, place the numbers you are given in value order and find the middle number.

Example: find the Median of {12, 3 and 5}

Put them in order:

3, 5, 12

The middle number is 5, so the median is 5.

Example 2

Look at these numbers:
3, 13, 7, 5, 21, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29
If we put those numbers in order we have:
3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56
There are fifteen numbers. Our middle number will be the eighth number:
3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56
The median value of this set of numbers is 23.
(Note that it didn't matter if we had some numbers the same in the list)
Two Numbers in the Middle
BUT, if there are an even amount of numbers things are slightly different.

In that case we need to find the middle pair of numbers, and then find the value that would be half way between them. This is easily done by adding them together and dividing by two.

An example will help:
3, 13, 7, 5, 21, 23, 23, 40, 23, 14, 12, 56, 23, 29
If we put those numbers in order we have:
3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 40, 56
There are now fourteen numbers and so we don't have just one middle number, we have a pair of middle numbers:
3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 40, 56
In this example the middle numbers are 21 and 23.
To find the value half-way between them, add them together and divide by 2:
21 + 23 = 44
44 ÷ 2 = 22
And, so, the Median in this example is 22.
(Note that 22 was not in the list of numbers ... but that is OK, because half the numbers in the list are less, and half the numbers are greater.)The median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distribution.
Median:
Advantages: Finds the middle number of a set of data, so outliers have little or no effect.

Disadvantages: If the gap between some numbers is large, while it is small between other numbers in the data, this can cause the median to be a very inaccurate way to find the middle of a set of values.The median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distribution.
  • The median is the middle value, so I'll have to rewrite the list in order:
    • 13, 13, 13, 13, 14, 14, 16, 18, 21
  • There are nine numbers in the list, so the middle one will be the (9 + 1) ÷ 2 = 10 ÷ 2 = 5th number:
    • 13, 13, 13, 13, 14, 14, 16, 18, 21
  • So the median is 14.


he median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distribution.
he median is the value that divides the distribution exactly into halves - 50% is below it, and 50% above it. The median may not actually occur in the distribution, but it is the "balance point" of the distri




The Median is the "middle number" (in a sorted list of numbers).

How to Find the Median Value

To find the Median, place the numbers you are given in value order and find the middle number.

Example: find the Median of {12, 3 and 5}

Put them in order:

3, 5, 12

The middle number is 5, so the median is 5.

Example 2

Look at these numbers:
3, 13, 7, 5, 21, 23, 39, 23, 40, 23, 14, 12, 56, 23, 29
If we put those numbers in order we have:
3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56
There are fifteen numbers. Our middle number will be the eighth number:
3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 39, 40, 56
The median value of this set of numbers is 23.
(Note that it didn't matter if we had some numbers the same in the list)
Two Numbers in the Middle
BUT, if there are an even amount of numbers things are slightly different.

In that case we need to find the middle pair of numbers, and then find the value that would be half way between them. This is easily done by adding them together and dividing by two.

An example will help:
3, 13, 7, 5, 21, 23, 23, 40, 23, 14, 12, 56, 23, 29
If we put those numbers in order we have:
3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 40, 56
There are now fourteen numbers and so we don't have just one middle number, we have a pair of middle numbers:
3, 5, 7, 12, 13, 14, 21, 23, 23, 23, 23, 29, 40, 56
In this example the middle numbers are 21 and 23.
To find the value half-way between them, add them together and divide by 2:
21 + 23 = 44
44 ÷ 2 = 22
And, so, the Median in this example is 22.
(Note that 22 was not in the list of numbers ... but that is OK, because half the numbers in the list are less, and half the numbers are greater.)



go to this website gives mean mode and median automaticcally http://easycalculation.com/statistics/mean-median-mode.php

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