2 median formulas for single data in statistics ~ Matematika Akuntansi -->

Wednesday, February 21, 2018

2 median formulas for single data in statistics

The median is the middle value of a group of data that has been sorted by magnitude.

The median formula for single data in statistics
there are two formulas to determine the median of a data, The following is the median formula for a single data:

1. The median formula if a lot of data is odd

Me = data location : (n + 1)/2

Information :

Me = Median Value

n = amount of data

Example :
Please determine the median of the data 3,7,6,4,5 !

Answer:
n = 5

The first thing to do is sort the data, so the data becomes 3,4,5,6,7
after that set the median :

Me = data location : (n + 1)/2

Me = data location : (5 + 1)/2
Me = data location : 6/2
Me = data location : 3

So the median of data is in the third location :
first location = 3
second location = 4
third location = 5
fourth location = 6
fifth location = 7



Me = Median location : 3 = third location = 5

So the median of 3, 7, 6, 4, and 5 is 5

2. The median formula if a lot of data is even

Me = ((data location : n/2) + (data location : ((n/2) + 1))2

Information :

Me = Median Value

n = amount of data

Example :
Please determine the median of 1, 2, 4, and 3 !

Answer :
n = 4
first location = 1
second location = 2
third location = 3
fourth location = 4

The first thing to do is sort the data, so the data becomes 1, 2, 3, 4
after that set the median :

Me = ((data location : n/2) + (data location : ((n/2) + 1))) / 2

Me = ((data location : 4/2) + (data location : ((4/2) + 1))) / 2
Me = ((data location : 2) + (data location : (2 + 1))) / 2
Me = ((data location : 2) + (data location : 3)) / 2
Me = (second location + third location) / 2
Me = (2 + 3) / 2
Me = 5 / 2
Me = 2,5
So the median of 1, 2, 3, 4 is 2,5

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