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Bivariate Frequency Distribution


The frequency distribution of a single variable is called a Univariate Distribution. The example 3.3 shows the univariate distribution of the single variable “marks of a student”. A Bivariate Frequency Distribution is the frequency distribution of two variables.

The following table 3.9 shows the frequency distribution of two variable sales and advertisement expenditure (in Rs. lakhs) of 20 companies. The values of sales are classed in different columns

TABLE 3.9
Bivariate Frequency Distribution of Sales (in Lakh Rs) and Advertisement Expenditure
(in Thousand Rs) of 20 Firms
 
 

115-125

125-135

135-145

145-155

155-165

165-175

Total

60-62

2

1

       

3

62-64

1

 

3

     

4

64-66

1

1

2

1

   

5

66-68

 

2

 

2

   

4

68-70

 

1

1

 

1

1

4

Total

4

5

6

3

1

1

20


And the values of advertisement expenditure are classed in different rows. Each cell shows the frequency of the corresponding row and column values. For example, there are 3 firms whose sales are between Rs 135-145 lakhs and their advertisement expenditures are between Rs 62-64 thousands. The use of a bivariate distribution would be taken up in Chapter 8 on correlation.




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