Determining the formula Median Data Together

In the previous post, the author has to bring a decrease in formula mode data group.  In the post this time, the author will present a decrease in median formula to collect the data.

Median is the datum that divides the data into two groups, 50 percent less data from the median value and 50 percent higher than the data median.  Data on a single, median value of a search conducted in a way sort of data from the smallest to the largest value. Then the value of the data that has been sorted it is the median value.

How to determine the median value of the data group? How to decrease the formula for the median value of data to collect a formula as follows:

me1

where:

Lo = bottom edge of the class limit of the median,

Me = median value,

n= number of data,

FK = cumulative frequency before the class load median,

F0 = frequency load the class median,

c = long intreval class.

Consider the following table:

  Class   Frequency F_Cumulative
15 – 19 5 5
20 – 24  7 12
25 – 29 10 22
30 – 34 15 37
35 – 39 13 50
40 – 44   8 58
45 – 49 6 64

 

The shape of the histogram from the top of the table are:

median

Because of the large number of data 64, the median value fell on the data to-32. Horizontal red line shows the position of data to-32 while the light green vertical line shows the median collect data from the data above. The cumulative limit up to third grade is 22. Means, is located in the median position data to-10 (32 – 22) in the class limit of four. Bilangan ini diperoleh dari (n/2 – Fk). This number is obtained from (n / 2 – FK).

Median collect the data is calculated based on interpolation of the data on the position of the class limit of the median. Mathematically,  can be written as follows.

median-2

interpolasi

So with cheat will be the math equation:

me-2

Where: Lu – Lo stated long interval class c and FK – FK shows the frequency of the class limit of median F0. Thus, the median collect data generated by the same:

me1

However Origins median to collect data. Hopefully the increase treasury perstatistikan readers.