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What is the class midpoint in a frequency distribution?
- a)The ratio of the upper-class limit and the lower-class limit.
- b)The product of the upper-class limit and the lower-class limit.
- c)The average of the upper-class limit and the lower-class limit.
- d)None of the above.
Correct answer is option 'C'. Can you explain this answer?
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What is the class midpoint in a frequency distribution?a)The ratio of ...
The class midpoint in a frequency distribution is calculated as the average of the upper-class limit and the lower-class limit. It helps represent the center of each class interval.
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What is the class midpoint in a frequency distribution?a)The ratio of ...
Class midpoint in a frequency distribution
The class midpoint in a frequency distribution is the average of the upper-class limit and the lower-class limit for each class interval. It is a statistical measure used to represent the center or midpoint of each class interval.
Explanation:
In a frequency distribution, data is organized into class intervals or ranges. Each class interval represents a group or category of data. The lower-class limit is the smallest value within a class interval, while the upper-class limit is the largest value within that interval.
To calculate the class midpoint, we need to find the average of the upper-class limit and the lower-class limit. This provides a single representative value for each class interval, which can be used for further analysis and interpretation of the data.
Example:
Let's consider a frequency distribution with the following class intervals:
Class Interval: 10-20, 20-30, 30-40, 40-50, 50-60
To find the class midpoint for each interval, we calculate the average of the upper and lower limits:
- Class midpoint for the interval 10-20: (10 + 20) / 2 = 15
- Class midpoint for the interval 20-30: (20 + 30) / 2 = 25
- Class midpoint for the interval 30-40: (30 + 40) / 2 = 35
- Class midpoint for the interval 40-50: (40 + 50) / 2 = 45
- Class midpoint for the interval 50-60: (50 + 60) / 2 = 55
These class midpoints provide a representative value for each class interval, which can be used to summarize and analyze the data. It helps in understanding the central tendency of the data distribution and facilitates further calculations such as finding the mean, median, and mode.
Therefore, the correct answer is option 'C' - The class midpoint in a frequency distribution is the average of the upper-class limit and the lower-class limit.
The class midpoint in a frequency distribution is the average of the upper-class limit and the lower-class limit for each class interval. It is a statistical measure used to represent the center or midpoint of each class interval.
Explanation:
In a frequency distribution, data is organized into class intervals or ranges. Each class interval represents a group or category of data. The lower-class limit is the smallest value within a class interval, while the upper-class limit is the largest value within that interval.
To calculate the class midpoint, we need to find the average of the upper-class limit and the lower-class limit. This provides a single representative value for each class interval, which can be used for further analysis and interpretation of the data.
Example:
Let's consider a frequency distribution with the following class intervals:
Class Interval: 10-20, 20-30, 30-40, 40-50, 50-60
To find the class midpoint for each interval, we calculate the average of the upper and lower limits:
- Class midpoint for the interval 10-20: (10 + 20) / 2 = 15
- Class midpoint for the interval 20-30: (20 + 30) / 2 = 25
- Class midpoint for the interval 30-40: (30 + 40) / 2 = 35
- Class midpoint for the interval 40-50: (40 + 50) / 2 = 45
- Class midpoint for the interval 50-60: (50 + 60) / 2 = 55
These class midpoints provide a representative value for each class interval, which can be used to summarize and analyze the data. It helps in understanding the central tendency of the data distribution and facilitates further calculations such as finding the mean, median, and mode.
Therefore, the correct answer is option 'C' - The class midpoint in a frequency distribution is the average of the upper-class limit and the lower-class limit.
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What is the class midpoint in a frequency distribution?a)The ratio of the upper-class limit and the lower-class limit.b)The product of the upper-class limit and the lower-class limit.c)The average of the upper-class limit and the lower-class limit.d)None of the above.Correct answer is option 'C'. Can you explain this answer?
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