Question

Write the forumala of median for ungrouped data

Answer 1

Answer:

Step-by-step explanation:

Derivation of Linear Interpolation Median Formula

Median,  m  =  L + [ (N/2 – F) / f ]C.  

How does this median formula come?  My teacher did not show and proof how does this formula come.  Therefore, I just substitute and blindly use the formula.  Can you help me?

This formula is used to find the median in a group data with class interval.  The median is the value of the data in the middle position of the set when the data is arranged in numerical order.  The class where the middle position is located is called the median class and this is also the class where the median is located.  This formula is used to find the median in a group data which is located in the median class.

Median,  m  =  L + [ (N/2 – F) / f ]C  

 L means lower boundary of the median class

 N means sum of frequencies

 F means cumulative frequency before the median class.

   Meaning that the class before the median class what

   is the frequency

 f means frequency of the median class

 C means the size of the median class

I have tried to use an ogive graph to understand, but I still did not get how did this formula come.