Mode for grouped data, Applied Statistics

Grouped Data

For calculating mode from a frequency distribution, the following formula

  Mode = Lmo 1171_grouped data.png x W

where,

   Lmo      =    Lower limit of the modal class which is the class having the maximum frequency

   f1, f2     =    Frequencies of the classes preceding and succeeding the modal class respectively

    f         =    Frequency of the modal class

    W        =    Class interval

Let us find the mode for the data given below:

Sales in crore

0-8

8-16

16-24

24-32

32-40

No. of companies

19

25

36

43

28                                              

Here the largest frequency is 43, and it lies in the class 24-32. So the modal class is 24-32. Therefore,

 Lmo = 24, f2 = 28, f1 = 36, W = 8, f = 43

Mode

= Lmo 2430_grouped data1.png x W
  = 24 +   1323_grouped data2.png x 8

              =  24 + 2.55 = 26.55

Posted Date: 9/14/2012 2:16:12 AM | Location : United States







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