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For a particular class boundary, the less than cumulative frequency and more than cumulative frequency add up to
- a)Total frequency
- b)Fifty per cent of the total frequency
- c)(a) or (b)
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
For a particular class boundary, the less than cumulative frequency an...
The cumulative frequency for each class interval is the frequency of that class interval added to the preceding cumulative total. Cumulative frequency can also be defined as the sum of all previous frequencies up to the current point. Cumulative frequency is obtained by adding the frequency of a class interval and the frequencies of the preceding intervals up to that class interval.
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For a particular class boundary, the less than cumulative frequency an...
Explanation:
- Cumulative frequency is the sum of frequencies up to a particular class boundary.
- Less than cumulative frequency represents the sum of frequencies of all the classes before the given class boundary.
- More than cumulative frequency represents the sum of frequencies of all the classes after the given class boundary.
- Total frequency represents the sum of frequencies of all the classes in the distribution.
Given that we have a particular class boundary, let's call it "X". Then, we can say:
- Less than cumulative frequency at X = sum of frequencies of all classes before X
- More than cumulative frequency at X = sum of frequencies of all classes after X
Now, if we add these two values, we get the total frequency of the distribution. This is because the classes before X, X itself, and the classes after X together make up the entire distribution. Therefore, we can say:
- Less than cumulative frequency at X + More than cumulative frequency at X = Total frequency
Hence, option A is the correct answer.
- Cumulative frequency is the sum of frequencies up to a particular class boundary.
- Less than cumulative frequency represents the sum of frequencies of all the classes before the given class boundary.
- More than cumulative frequency represents the sum of frequencies of all the classes after the given class boundary.
- Total frequency represents the sum of frequencies of all the classes in the distribution.
Given that we have a particular class boundary, let's call it "X". Then, we can say:
- Less than cumulative frequency at X = sum of frequencies of all classes before X
- More than cumulative frequency at X = sum of frequencies of all classes after X
Now, if we add these two values, we get the total frequency of the distribution. This is because the classes before X, X itself, and the classes after X together make up the entire distribution. Therefore, we can say:
- Less than cumulative frequency at X + More than cumulative frequency at X = Total frequency
Hence, option A is the correct answer.
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