STATISTICS (MODE AND MEAN)

MODE

When individual series or discrete series are given then mode is the most frequently occuring observation.But when continuous series are given then we have to take out the average mode that is

mode = L + [(f1-f0) / (2f1-f0-f2)] x h

where:

L is the lower class limit of modal class

f0 is the  frequency previous to the model class

f1 is the Frequency of the model class

f2 is the  frequency next to the model class

h is the size of model class i.e. difference between upper 

and lower class boundaries of model class.

Model class is a class with the maximum frequency.

MEDIANSame is the case when we have to find median.There are different methods to find median in different series.When individual or discrete series are given then 

if no. of observations are odd then

 median = (n+1/2)th observations.

if no. of observations are even then

median=mean of (n/2)th and (n/2÷1)th observations.

When continuous series are given then 

median= L+(n/2-c.f.÷f) ×h