Statistics
Standard deviation is the
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Solution
Square root of variance
- Conceptual Definition: Standard deviation (σ) measures the amount of variation or dispersion of a set of values relative to their mean.
- Mathematical Relation: It is defined mathematically as the positive square root of the variance.
- Formula: σ=n∑(xi−xˉ)2.
- Why Square Root?: Taking the square root brings the dispersion metric back to the same units as the original data (whereas variance is in units squared).
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About This Question
- Subject
- mathematics
- Chapter
- statistics and probability
- Topic
- statistics
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
Square root of variance
- Conceptual Definition: Standard deviation (σ) measures the amount of variation or dispersion of a set of values relative to their mean.
- Mathematical Relation: It is defined mathematically as the positive square root of the variance.
- Formula: σ=n∑(xi−xˉ)2.
- Why Square Root?: Taking the square root brings the dispersion metric back to the same units as the original data (whereas variance is in units squared).
This easy difficulty mathematics question is from the chapter statistics and probability, covering the topic of statistics. It appeared in the 2025 exam.
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