Statistics
Easymathematics
Standard deviation is the
Select the correct option:
Solution
Incorrect! 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).
🔒 Solution Hidden from View
Submit your answer to unlock the detailed step-by-step solution.
More statistics Practice Questions
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.
Looking for more practice? Explore all mathematics questions or browse statistics and probability questions on RankGuru.