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Cumulative Table
Add each class frequency to all before it. The last cumulative value equals n, the number of observations. A class's own frequency is not the cumulative unless it is the first class.
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Cumulative Table
What is it?
Add each class frequency to all before it. The last cumulative value equals n, the number of observations. A class's own frequency is not the cumulative unless it is the first class.
In simple words
- Add each class frequency to all before it.
- up to the upper bound
- running total
- ogive vs upper boundaries
Important terms
Cumulative Table: Add each class frequency to all before it. The last cumulative value equals n, the number of observations. A class's own frequency is not the cumulative unless it is the first class.
What you should learn
- Define and explain cumulative table.
- Apply cumulative table to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Examples
- up to the upper bound
- running total
- ogive vs upper boundaries
CORE UNDERSTANDING
Add each class frequency to all before it. The last cumulative value equals n, the number of observations. A class's own frequency is not the cumulative unless it is the first class.
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Recommended for Class 10
Full school-level explanation
Add each class frequency to all before it. The last cumulative value equals n, the number of observations. A class's own frequency is not the cumulative unless it is the first class.
Learn the idea, then use it:
WHAT — CUMULATIVE TABLE
Add each class frequency to all before it. The last cumulative value equals n, the number of observations. A class's own frequency is not the cumulative unless it is the first class.
HOW — Use the idea
Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check the result.
CORE UNDERSTANDING
Add each class frequency to all before it. The last cumulative value equals n, the number of observations. A class's own frequency is not the cumulative unless it is the first class.
Remember
- up to the upper bound
- running total
- ogive vs upper boundaries
Examples
- up to the upper bound
- running total
- ogive vs upper boundaries
- CUMULATIVE TABLE: Add each class frequency to all before it. The last cumulative value equals n, the number of observations. A class's own
EXAM APPLICATION
State the correct term, connect it to the chapter rule or evidence, and use a clear example or calculation.
Remember
- correct term
- chapter link
- clear application
Examples
- Define first
- Show the rule or evidence
- Check units, labels, and conclusion
Remember
- up to the upper bound
- running total
- ogive vs upper boundaries
- keep the ideas separate
- up to the upper bound
- running total
- ogive vs upper boundaries
- correct term
Deeper understanding
Go beyond memorising Cumulative Table. Connect the definition to reasons, relationships, exceptions, and exam wording.
Common mistakes
Exam focus
Core Idea
Key Points
Simple Check
How to Answer
Exam focus
Quick revision
- up to the upper bound
- running total
- ogive vs upper boundaries
- keep the ideas separate
- Cumulative Table: Add each class frequency to all before it. The last cumulative value equals n, the number of observa
- WHAT — CUMULATIVE TABLE: Add each class frequency to all before it. The last cumulative value equals n, the number of observa
Do not merge cumulative table with a neighbouring idea that uses a different definition, rule, or method.
For long answers on Cumulative Table: define clearly → explain the main parts → give one example → state one exam caution.
Exam Focus
Exam Focus
Important points
- up to the upper bound
- running total
- ogive vs upper boundaries
- keep the ideas separate
Important formulas
- up to the upper bound
- running total
- ogive vs upper boundaries
Common exam traps
- Do not merge cumulative table with a neighbouring idea that uses a different definition, rule, or method.
- Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
Long question structure
Definition → key parts → example → exam caution
Common Mistakes
Common Mistakes
- Mistake
Do not merge cumulative table with a neighbouring idea that uses a different definition, rule, or method.
- Mistake
Do not invent a formula, fact, unit, or diagram label that the chapter does not support.
- Mistake
Do not merge cumulative table with a neighbouring idea that uses a different definition, rule, or method.
Revision Zone
60-Second Revision
Quick cues from this topic — use them for last-minute revision.
up to the upper bound
running total
ogive vs upper boundaries
keep the ideas separate
Add each class frequency to all before it. The last cumulative value equals n, the number of observations. A class's own frequency is not the cumulative unless
- Definition
- Add each class frequency to all before it. The last cumulative value equals n, the number of observations. A class's own frequency is not the cumulative unless
- Example
- up to the upper bound
- Critical warning
- Do not merge cumulative table with a neighbouring idea that uses a different definition, rule, or method.
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Exam Practice
Define
Q1. Define Cumulative Table.
Explain
Q2. Explain: CORE UNDERSTANDING.
Example
Q3. Give one clear example of Cumulative Table and say why it fits.
Mistake
Q4. State one common mistake students make about Cumulative Table.
Exam note
Q5. Write a short exam note on Cumulative Table: definition, two points, one example.
Sources & References
School-standard facts for Matric and Intermediate. Original explanations — not copied from textbooks.