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The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched?
- a)Base line of the — X-axis polygon
- b)Ordinates of the — Class frequencies vertices of the polygon
- c)Abscissa of the vertices of the polygon — Class marks of the frequency distribution
- d)Area of the polygon — Total frequency of the distribution
Correct answer is option 'D'. Can you explain this answer?
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The following pairs relate to frequency distribution of a discrete var...
Area of the polygon gives sum of fixi not summation of fi
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The following pairs relate to frequency distribution of a discrete var...
Understanding Frequency Distributions and Polygons
In statistics, a frequency distribution of a discrete variable summarizes the number of occurrences of each value. A frequency polygon is a graphical representation that connects the midpoints of the class intervals (or class marks) with straight lines. Let's examine the pair that is incorrectly matched:
Incorrect Match: Area of the Polygon
- The area of a frequency polygon does not represent the total frequency of the distribution.
- Instead, the total frequency is simply the sum of the heights (or class frequencies) represented by the points on the polygon.
- The frequency polygon visually depicts frequencies, but it does not have a specific area that correlates with total frequency like a histogram does.
Correct Matches Explained
- Base Line of the Polygon — X-axis: The base of the polygon is aligned with the X-axis, representing the class marks.
- Ordinates of the Vertices of the Polygon — Class Frequencies: The vertical coordinates (ordinates) of the polygon’s vertices correspond to the frequencies of the respective classes.
- Abscissa of the Vertices of the Polygon — Class Marks: The horizontal coordinates (abscissas) represent the class marks (midpoints) of the frequency distribution.
Conclusion
Thus, the only incorrect pairing is the area of the polygon being equal to the total frequency, highlighting a common misconception in interpreting frequency polygons. Understanding these relationships is crucial for accurately analyzing and representing data distributions in statistics.
In statistics, a frequency distribution of a discrete variable summarizes the number of occurrences of each value. A frequency polygon is a graphical representation that connects the midpoints of the class intervals (or class marks) with straight lines. Let's examine the pair that is incorrectly matched:
Incorrect Match: Area of the Polygon
- The area of a frequency polygon does not represent the total frequency of the distribution.
- Instead, the total frequency is simply the sum of the heights (or class frequencies) represented by the points on the polygon.
- The frequency polygon visually depicts frequencies, but it does not have a specific area that correlates with total frequency like a histogram does.
Correct Matches Explained
- Base Line of the Polygon — X-axis: The base of the polygon is aligned with the X-axis, representing the class marks.
- Ordinates of the Vertices of the Polygon — Class Frequencies: The vertical coordinates (ordinates) of the polygon’s vertices correspond to the frequencies of the respective classes.
- Abscissa of the Vertices of the Polygon — Class Marks: The horizontal coordinates (abscissas) represent the class marks (midpoints) of the frequency distribution.
Conclusion
Thus, the only incorrect pairing is the area of the polygon being equal to the total frequency, highlighting a common misconception in interpreting frequency polygons. Understanding these relationships is crucial for accurately analyzing and representing data distributions in statistics.
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The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched?a)Base line of the — X-axis polygonb)Ordinates of the — Class frequencies vertices of the polygonc)Abscissa of the vertices of the polygon — Class marks of the frequency distributiond)Area of the polygon — Total frequency of the distributionCorrect answer is option 'D'. Can you explain this answer?
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The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched?a)Base line of the — X-axis polygonb)Ordinates of the — Class frequencies vertices of the polygonc)Abscissa of the vertices of the polygon — Class marks of the frequency distributiond)Area of the polygon — Total frequency of the distributionCorrect answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched?a)Base line of the — X-axis polygonb)Ordinates of the — Class frequencies vertices of the polygonc)Abscissa of the vertices of the polygon — Class marks of the frequency distributiond)Area of the polygon — Total frequency of the distributionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched?a)Base line of the — X-axis polygonb)Ordinates of the — Class frequencies vertices of the polygonc)Abscissa of the vertices of the polygon — Class marks of the frequency distributiond)Area of the polygon — Total frequency of the distributionCorrect answer is option 'D'. Can you explain this answer?.
The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched?a)Base line of the — X-axis polygonb)Ordinates of the — Class frequencies vertices of the polygonc)Abscissa of the vertices of the polygon — Class marks of the frequency distributiond)Area of the polygon — Total frequency of the distributionCorrect answer is option 'D'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched?a)Base line of the — X-axis polygonb)Ordinates of the — Class frequencies vertices of the polygonc)Abscissa of the vertices of the polygon — Class marks of the frequency distributiond)Area of the polygon — Total frequency of the distributionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following pairs relate to frequency distribution of a discrete variable and its frequency polygon. Which one of the following pairs is not correctly matched?a)Base line of the — X-axis polygonb)Ordinates of the — Class frequencies vertices of the polygonc)Abscissa of the vertices of the polygon — Class marks of the frequency distributiond)Area of the polygon — Total frequency of the distributionCorrect answer is option 'D'. Can you explain this answer?.
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