MathematicsChapter 11: Basic Statistics
Class Mark and Boundaries
The midpoint (L+U)/2: class 1-10 has mark (1+10)/2 = 5.5; class 11-20 has mark 15.5.
Learning objectives
- Define and explain class mark and boundaries.
- Apply class mark and boundaries to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
The midpoint L+U2: class 1-10 has mark 1+102 = 5.5; class 11-20 has mark 15.5. If you know only the mark and h, the class runs from x - h/2 to x + h/2. Those ends are the boundaries you would use on a histogram. Keep one column for marks when you compute Sigma f x later.
Where / symbols
- Class Mark And Boundaries
- The midpoint (L+U)/2: class 1-10 has mark (1+10)/2 = 5.5; class 11-20 has mark 15.5. If you know only the mark and h, the class runs from x - h/2 to x + h/2. Those ends are the boundaries you would use on a histogram. Keep one column for marks when you compute Sigma f x later.
Overview
Learn the idea, then use it:
Core Understanding
The midpoint L+U2: class 1-10 has mark 1+102 = 5.5; class 11-20 has mark 15.5. If you know only the mark and h, the class runs from x - h/2 to x + h/2. Those ends are the boundaries you would use on a histogram. Keep one column for marks when you compute Sigma f x later.
Examples midpoint · x - h/2 · x + h/2 · CLASS MARK AND BOUNDARIES: The midpoint (L+U)/2: class 1-10 has mark (1+10)/2 = 5.5; class 11-20 has mark 15.5. If you know only the mark and h, th
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 — CLASS MARK AND BOUNDARIES
The midpoint L+U2: class 1-10 has mark 1+102 = 5.5; class 11-20 has mark 15.5. If you know only the mark and h, the class runs from x - h/2 to x + h/2. Those ends are the boundaries you would use on a histogram. Keep one column for marks when you compute Sigma f x later.
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 class mark and boundaries with a neighbouring idea that uses a different definition, rule, or method.
Key points
- midpoint
- x - h/2
- x + h/2
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Class Mark and Boundaries
Sticky Notes · Quick Revision
Core Idea
- The midpoint L+U2: class 1-10 has mark 1+102 = 5.5; class 11-20 has mark 15.5.
Key Points
- midpoint
- x - h/2
- x + h/2
Simple Check
- Explain class mark and boundaries 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 class mark and boundaries 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
- The midpoint L+U2: class 1-10 has mark 1+102 = 5.5; class 11-20 has mark 15.5.
- midpoint
- x - h/2
- x + h/2
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