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Revision Notes
Statistics and Probability — Revision Notes
Tamil Nadu Board · Class 10 · Mathematics
Statistics and Probability revision notes for Tamil Nadu Board Class 10 Mathematics: 4 topics in quick points.
44 questions24 flashcards2 formulas & key relations5 concepts
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Key Topics to Revise
1
Measures of Dispersion – Overview and Range
- Dispersion tells us how spread out the data values are from the central value (mean).
- Two datasets can have the same mean but very different spreads – dispersion helps identify this difference.
- Example: Batsman A and Batsman B both scored a mean of 40 runs in 10 matches, but A's scores were scattered (4 to 93) while B's scores were clustered (26 to 50).
2
Standard Deviation and Variance
- Standard Deviation (σ) is the positive square root of Variance (σ²).
- Variance is the mean of the squares of deviations from the arithmetic mean.
- Standard deviation gives a clearer picture of how far values are from the mean.
3
Coefficient of Variation
- Coefficient of Variation (C.V.) is a relative measure of dispersion – it has NO units.
- C.V. is used to compare the consistency of two or more datasets that may have different units or different scales.
- C.V. = (σ/x̄) × 100 percent
4
Probability – Fundamentals
- Probability measures the likelihood of occurrence of an event in a random experiment.
- A Random Experiment has: (i) all possible outcomes are known, (ii) exact outcome cannot be predicted in advance.
- Sample Space (S) is the set of ALL possible outcomes of a random experiment.
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Full NotesKey Concepts
These are single values that representRange is the simplest measureVariance (σ²) is the meanCV = (σ/x̄) × 100%A random experiment is a process
Frequently Asked Questions
What are the important topics in Statistics and Probability for Tamil Nadu Board Class 10 Mathematics?
Key topics in Statistics and Probability include Measures of Dispersion – Overview and Range, Standard Deviation and Variance, Coefficient of Variation, Probability – Fundamentals. Study these first, then practise questions on each for the Tamil Nadu Board Class 10 board exam.
How should I revise Statistics and Probability for the Tamil Nadu Board Class 10 board exam?
Learn the core ideas first, then work through the 44 practice questions on Statistics and Probability. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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