MathematicsChapter 11: Basic Statistics
Median
Mean, median, and mode are the three averages that locate a list.
Learning objectives
- Define and explain median.
- Apply median to a focused FBISE question.
- Check the answer for correct terms, evidence, working, and units.
Definition
Mean, median, and mode are the three averages that locate a list. The median is the middle value after you order the data. The unit symbol is x-tilde (read 'x tilde'). For odd n, take the n+12 th value. For even n, average the n/2 th and the n+22 th values. The mode is the most frequent value. On a grouped table the modal class is the class with the highest frequency. Averages disagree when the list is lopsided; that disagreement is useful, not a mistake.
Where / symbols
- Median
- Mean, median, and mode are the three averages that locate a list. The median is the middle value after you order the data. The unit symbol is x-tilde (read 'x tilde'). For odd n, take the (n+1)/2 th value. For even n, average the n/2 th and the (n+2)/2 th values. The mode is the most frequent value. On a grouped table the modal class is the class with the highest frequency. Averages disagree when the list is lopsided; that disagreement is useful, not a mistake.
Overview
Learn the idea, then use it:
Core Understanding
Mean, median, and mode are the three averages that locate a list. The median is the middle value after you order the data. The unit symbol is x-tilde (read 'x tilde'). For odd n, take the n+12 th value. For even n, average the n/2 th and the n+22 th values. The mode is the most frequent value. On a grouped table the modal class is the class with the highest frequency. Averages disagree when the list is lopsided; that disagreement is useful, not a mistake.
Examples median · mode · locate · order
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 — MEDIAN
Mean, median, and mode are the three averages that locate a list. The median is the middle value after you order the data. The unit symbol is x-tilde (read 'x tilde'). For odd n, take the n+12 th value. For even n, average the n/2 th and the n+22 th values. The mode is the most frequent value. On a grouped table the modal class is the class with the highest frequency. Averages disagree when the list is lopsided; that disagreement is useful, not a mistake.
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 median with a neighbouring idea that uses a different definition, rule, or method.
Key points
- median
- mode
- locate
Exam preparation
Exam Focus
Quick revision
Revision Zone
Review the key facts, formulas and checks before you move on.Median
Sticky Notes · Quick Revision
Core Idea
- Mean, median, and mode are the three averages that locate a list.
Key Points
- median
- mode
- locate
Simple Check
- Explain median 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 median 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
- Mean, median, and mode are the three averages that locate a list.
- median
- mode
- locate
Did you understand this topic?
Your answer is saved with your learning record. It does not mark the topic as mastered.