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While computing mean of a grouped data, we assume that the frequencies are
- a)centered at the lower limits of the classes
- b)centered at the upper limits of the classes
- c)centered at the class marks of the classes
- d)evenly distributed over all the classes
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
While computing mean of a grouped data, we assume that the frequencies...
- When computing the mean of grouped data, we assume that the frequencies are centered at the class marks of the classes.
- This means that each frequency is associated with the midpoint of its respective class interval.
- Using the class marks allows for an accurate calculation of the mean by multiplying each class mark by its frequency, summing these products, and then dividing by the total frequency.
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While computing mean of a grouped data, we assume that the frequencies...
Understanding Mean of Grouped Data
When calculating the mean of grouped data, we often rely on certain assumptions about the distribution of frequency within the classes. The correct assumption is that frequencies are centered at the class marks of the classes. Here’s a detailed explanation:
What are Class Marks?
- Class marks are the midpoints of each class interval.
- They are calculated by averaging the upper and lower limits of each class.
- For example, if a class interval is 10-20, the class mark would be (10 + 20)/2 = 15.
Why Centered at Class Marks?
- Estimation: Using class marks allows for a more accurate estimation of the mean because it assumes that the data points within a class are evenly distributed around the midpoint.
- Simplicity: It simplifies calculations, as we work with a single representative value for each class rather than individual data points.
Calculation of Mean
- To compute the mean, you multiply the class mark of each class by its corresponding frequency.
- The formula for the mean is the sum of these products divided by the total frequency. This ensures that each class contributes to the mean based on its frequency.
Conclusion
- Assuming frequencies are centered at the class marks provides a practical and effective way to estimate the mean of grouped data.
- This method balances representation across classes, enhancing the reliability of statistical analysis.
By understanding this approach, students can confidently compute the mean of grouped data with accuracy and clarity.
When calculating the mean of grouped data, we often rely on certain assumptions about the distribution of frequency within the classes. The correct assumption is that frequencies are centered at the class marks of the classes. Here’s a detailed explanation:
What are Class Marks?
- Class marks are the midpoints of each class interval.
- They are calculated by averaging the upper and lower limits of each class.
- For example, if a class interval is 10-20, the class mark would be (10 + 20)/2 = 15.
Why Centered at Class Marks?
- Estimation: Using class marks allows for a more accurate estimation of the mean because it assumes that the data points within a class are evenly distributed around the midpoint.
- Simplicity: It simplifies calculations, as we work with a single representative value for each class rather than individual data points.
Calculation of Mean
- To compute the mean, you multiply the class mark of each class by its corresponding frequency.
- The formula for the mean is the sum of these products divided by the total frequency. This ensures that each class contributes to the mean based on its frequency.
Conclusion
- Assuming frequencies are centered at the class marks provides a practical and effective way to estimate the mean of grouped data.
- This method balances representation across classes, enhancing the reliability of statistical analysis.
By understanding this approach, students can confidently compute the mean of grouped data with accuracy and clarity.
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While computing mean of a grouped data, we assume that the frequencies area)centered at the lower limits of the classesb)centered at the upper limits of the classesc)centered at the class marks of the classesd)evenly distributed over all the classesCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about While computing mean of a grouped data, we assume that the frequencies area)centered at the lower limits of the classesb)centered at the upper limits of the classesc)centered at the class marks of the classesd)evenly distributed over all the classesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While computing mean of a grouped data, we assume that the frequencies area)centered at the lower limits of the classesb)centered at the upper limits of the classesc)centered at the class marks of the classesd)evenly distributed over all the classesCorrect answer is option 'C'. Can you explain this answer?.
While computing mean of a grouped data, we assume that the frequencies area)centered at the lower limits of the classesb)centered at the upper limits of the classesc)centered at the class marks of the classesd)evenly distributed over all the classesCorrect answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about While computing mean of a grouped data, we assume that the frequencies area)centered at the lower limits of the classesb)centered at the upper limits of the classesc)centered at the class marks of the classesd)evenly distributed over all the classesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for While computing mean of a grouped data, we assume that the frequencies area)centered at the lower limits of the classesb)centered at the upper limits of the classesc)centered at the class marks of the classesd)evenly distributed over all the classesCorrect answer is option 'C'. Can you explain this answer?.
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