MathematicsChapter 12: Basic Statistics
Cumulative Table
Add each class frequency to all before it.
Learning objectives
- Define and explain cumulative table.
- Apply cumulative table to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
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 it is the first class.
Where / symbols
- 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.
Overview
Learn the idea, then use it:
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.
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.
Examples Define first · Show the rule or evidence · Check units, labels, and conclusion
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.
In simple words
Do not merge cumulative table with a neighbouring idea that uses a different definition, rule, or method.
Key points
- up to the upper bound
- running total
- ogive vs upper boundaries
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Cumulative Table
Sticky Notes · Quick Revision
Core Idea
- Add each class frequency to all before it.
Key Points
- up to the upper bound
- running total
- ogive vs upper boundaries
Simple Check
- Explain cumulative table in your own words and connect it to one chapter example.
How to Answer
- Define the idea, show the main rule or evidence, apply it, and check the final statement.
Common Mistake
- Do not merge cumulative table with a neighbouring idea that uses a different definition, rule, or method.
FBISE Exam Tip
- Use the exact term, show working where needed, and include units or labelled evidence.
60-second revision
- Add each class frequency to all before it.
- up to the upper bound
- running total
- ogive vs upper boundaries
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