# Thread: mode for unequal class length

1. ## mode for unequal class length

How to find mode for grouped frequency distribution with unequal class length? I have to find the mode for the following problem:

Marks--- No of students

0-20--- 32
20-50--- 45
50-70--- 15
70-100 ---8

For equal class length, we use the formula

Mode= l+(f_0-f_-1)/(2f_0-f_-1-f_+1)

But how to proceed for the above example?

2. ## Re: mode for unequal class length

I think the answer is that in order to find the mode of a set of data you work with it before you sort it into bins.

Let's say you have permissible data values yj.

You take samples and observe nj occurrences of each yj

The mode of this data set is the yk such that nk is the maximum of all the nj's

Mode (statistics) - Wikipedia, the free encyclopedia

3. ## Re: mode for unequal class length

You can convert this grouped frequenct distribution into frequency distribution of equal class length as follows:

Marks---Number of Students
0-25---39
25-50---38
50-75---16
75-100---7
then use the usual formula for mode

4. ## Re: mode for unequal class length

Originally Posted by Vinod
You can convert this grouped frequenct distribution into frequency distribution of equal class length as follows:

Marks---Number of Students
0-25---39
25-50---38
50-75---16
75-100---7
then use the usual formula for mode
How have you done this conversion?

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# mode calculate when c.i. are unequal

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