Professional Courses
Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.
Categories
Interactive Games
Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.
Typing
Memory
Math
English Adventures
Knowledge
Variance and standard deviation are fundamental statistical measures that indicate how much the values in a dataset deviate from the mean. Variance measures the average squared deviation from the mean, while standard deviation is the square root of variance, providing a more interpretable measure of dispersion. Both concepts are crucial in engineering, particularly in analyzing data, modeling uncertainty, and solving partial differential equations (PDEs).
.jpg?width=80)
Sections
References
unit 3 ch10.pdfClass Notes
Memorization
What we have learnt
- Variance measures the avera...
- Standard deviation is the s...
- Both variance and standard ...
Final Test
Revision Tests
What we have learnt
- Variance measures the average squared deviation from the mean.
- Standard deviation is the square root of variance and is used for easier interpretation.
- Both variance and standard deviation are essential in analyzing engineering data and modeling systems under uncertainty.
Key Concepts
-
Term: Mean (Average)
Definition: The mean is calculated by summing all data points and dividing by the number of points, providing a measure of central tendency.
-
Term: Variance
Definition: Variance quantifies the spread of data points from their mean and is calculated as the average of the squared differences.
-
Term: Standard Deviation
Definition: Standard deviation is a measure of dispersion that is the square root of variance, providing insights in the same units as the original data.
-
Term: Properties of Variance and SD
Definition: Both variance and standard deviation are non-negative, affected by outliers, exhibit additive properties for independent variables, and have scaling rules.