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For a p x q bivariate frequency table, the maximum number of marginal distributions is
  • a)
    p
  • b)
    p + q
  • c)
    1
  • d)
    2
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
For a p x q bivariate frequency table, the maximum number of marginal ...
Explanation:

A bivariate frequency table shows the frequency distribution of two variables. The rows represent one variable, and the columns represent the other variable. The intersection of a row and a column gives the frequency of a particular combination of the two variables.

Marginal distribution refers to the distribution of one variable, ignoring the other variable. The two marginal distributions are obtained by summing the frequencies in each row and each column.

For a p x q bivariate frequency table, the maximum number of marginal distributions is 2. This is because there are only two variables, and each variable can have its own marginal distribution.

The formula for the maximum number of marginal distributions is:

Maximum number of marginal distributions = number of variables

In this case, there are two variables, so the maximum number of marginal distributions is 2.

Option A is incorrect because pb is the total frequency of the table, not the number of marginal distributions.

Option B is incorrect because pq is the total number of cells in the table, not the number of marginal distributions.

Option C is incorrect because there can be more than one marginal distribution.
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Community Answer
For a p x q bivariate frequency table, the maximum number of marginal ...
A p x q bivariate frequency table for students (consider p) with their exam language medium (consider q) looks like this,

  ENGLISH HINDI TOTAL
BOY 20 25 45
GIRL 30 40 70
TOTAL 50 65 115

Marginal Distribution is where you get to know either the number of students divided into different genders or the number of students divided into their language mediums

TYPE1 TOTAL
BOY 45
GIRL 70
TOTAL 115

TYPE2 ENGLISH HINDI TOTAL
TOTAL 50 65 115

So, there are only two ways in which marginal distribution can be obtained.
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For a p x q bivariate frequency table, the maximum number of marginal distributions isa)pb)p + qc)1d)2Correct answer is option 'D'. Can you explain this answer?
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