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In the ‘more – than’ type of ogive the cumulative frequency is plotted against :
- a)The lower limit of the concerned class interval
- b)The mid value of the concerned class interval
- c)The upper limit of the concerned class interval
- d)Any value of the concerned class interval
Correct answer is option 'A'. Can you explain this answer?
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In the ‘more – than’ type of ogive the cumulative fr...
The lower limit of the concerned class interval is used for ‘more than’ type of ogive.
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In the ‘more – than’ type of ogive the cumulative fr...
Understanding Ogives
An ogive is a graphical representation of cumulative frequencies. In the case of a 'more - than' ogive, it depicts the cumulative frequency for data points greater than certain class intervals.
Correct Answer: Option A
The correct choice for plotting cumulative frequency in a more-than ogive is the lower limit of the concerned class interval. Here's why:
Key Points:
- Cumulative Frequency Concept: Cumulative frequency is the sum of the frequencies for all classes up to a certain class. In a more-than ogive, we are interested in how many values exceed a given threshold.
- Lower Limit Usage: By using the lower limit of the class interval, we ensure that we are capturing all data that exceeds this threshold. For instance, if a class interval is 10-20, the lower limit (10) is the point at which we start counting frequencies of all classes above it.
- Visual Representation: Plotting against the lower limit allows for a clearer representation of data distribution. It visually shows how many values are greater than the starting point of each class.
- Comparison with Other Options:
- Using the mid-value (option B) or upper limit (option C) would misrepresent the data, as it would not accurately reflect the cumulative nature for values above the class range.
- Any value of the concerned class interval (option D) lacks specificity and clarity.
In summary, when constructing a more-than ogive, the cumulative frequency is plotted against the lower limit of the concerned class interval to accurately represent cumulative data above that interval.
An ogive is a graphical representation of cumulative frequencies. In the case of a 'more - than' ogive, it depicts the cumulative frequency for data points greater than certain class intervals.
Correct Answer: Option A
The correct choice for plotting cumulative frequency in a more-than ogive is the lower limit of the concerned class interval. Here's why:
Key Points:
- Cumulative Frequency Concept: Cumulative frequency is the sum of the frequencies for all classes up to a certain class. In a more-than ogive, we are interested in how many values exceed a given threshold.
- Lower Limit Usage: By using the lower limit of the class interval, we ensure that we are capturing all data that exceeds this threshold. For instance, if a class interval is 10-20, the lower limit (10) is the point at which we start counting frequencies of all classes above it.
- Visual Representation: Plotting against the lower limit allows for a clearer representation of data distribution. It visually shows how many values are greater than the starting point of each class.
- Comparison with Other Options:
- Using the mid-value (option B) or upper limit (option C) would misrepresent the data, as it would not accurately reflect the cumulative nature for values above the class range.
- Any value of the concerned class interval (option D) lacks specificity and clarity.
In summary, when constructing a more-than ogive, the cumulative frequency is plotted against the lower limit of the concerned class interval to accurately represent cumulative data above that interval.
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In the ‘more – than’ type of ogive the cumulative frequency is plotted against :a)The lower limit of the concerned class intervalb)The mid value of the concerned class intervalc)The upper limit of the concerned class intervald)Any value of the concerned class intervalCorrect answer is option 'A'. Can you explain this answer?
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