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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?
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For a p x q bivariate frequency table, the maximum number of marginal ...
Maximum Number of Marginal Distributions in a Bivariate Frequency Table
Explanation:
1. Marginal Distributions:
- In a bivariate frequency table, marginal distributions refer to the totals of the row and column frequencies. These totals are the marginal distributions for each variable in the table.
2. Maximum Number of Marginal Distributions:
- For a p x q bivariate frequency table, there are two variables involved: variable p and variable q.
- The maximum number of marginal distributions that can be calculated in this scenario is 2.
3. Calculation:
- Variable p will have one marginal distribution which is the total of all frequencies in the row.
- Variable q will have one marginal distribution which is the total of all frequencies in the column.
- Therefore, the total number of marginal distributions in a p x q bivariate frequency table is 2.
4. Example:
- For example, if we have a 3 x 2 bivariate frequency table, we will have 3 rows and 2 columns.
- The marginal distribution for variable p (rows) will be the total of frequencies in each row, resulting in 3 marginal distributions.
- The marginal distribution for variable q (columns) will be the total of frequencies in each column, resulting in 2 marginal distributions.
- Thus, the total number of marginal distributions will be 3 (from rows) + 2 (from columns) = 5, which is the maximum possible for this table.
Therefore, the correct answer is option 'D' - 2.
Explanation:
1. Marginal Distributions:
- In a bivariate frequency table, marginal distributions refer to the totals of the row and column frequencies. These totals are the marginal distributions for each variable in the table.
2. Maximum Number of Marginal Distributions:
- For a p x q bivariate frequency table, there are two variables involved: variable p and variable q.
- The maximum number of marginal distributions that can be calculated in this scenario is 2.
3. Calculation:
- Variable p will have one marginal distribution which is the total of all frequencies in the row.
- Variable q will have one marginal distribution which is the total of all frequencies in the column.
- Therefore, the total number of marginal distributions in a p x q bivariate frequency table is 2.
4. Example:
- For example, if we have a 3 x 2 bivariate frequency table, we will have 3 rows and 2 columns.
- The marginal distribution for variable p (rows) will be the total of frequencies in each row, resulting in 3 marginal distributions.
- The marginal distribution for variable q (columns) will be the total of frequencies in each column, resulting in 2 marginal distributions.
- Thus, the total number of marginal distributions will be 3 (from rows) + 2 (from columns) = 5, which is the maximum possible for this table.
Therefore, the correct answer is option 'D' - 2.
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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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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? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 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? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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?.
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? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about 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? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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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