Civil Engineering (CE) Exam > Civil Engineering (CE) Notes > Engineering Mathematics > Standard Deviation
Standard Deviation | Engineering Mathematics - Civil Engineering (CE) PDF Download
Standard Deviation
Standard Deviation is square root of variance. It is a measure of the extent to which data varies from the mean.
Standard Deviation (for above data) = √4 = 2
Why did mathematicians chose square and then square root to find deviation, why not simply take difference of values?
One reason is the sum of differences becomes 0 according to definition of mean. Sum of absolute differences could be an option, but with absolute differences it was difficult to prove many nice theorems.
Some Interesting Facts:
1) Value of standard deviation is 0 if all entries in input are same.
2) If we add (or subtract) a number say 7 to all values in input set, mean is increased (or decreased) by 7, but standard deviation doesn’t change.
3) If we multiply all values in input set by a number 7, both mean and standard deviation are multiplied by 7. But if we multiply all input values with a negative number say -7, mean is multiplied by -7, but standard deviation is multiplied by 7.
The document Standard Deviation | Engineering Mathematics - Civil Engineering (CE) is a part of the Civil Engineering (CE) Course Engineering Mathematics.
All you need of Civil Engineering (CE) at this link: Civil Engineering (CE)
|
65 videos|120 docs|94 tests
|
FAQs on Standard Deviation - Engineering Mathematics - Civil Engineering (CE)
| 1. What is standard deviation in computer science engineering (CSE)? |  |
Ans. Standard deviation in computer science engineering is a statistical measure that quantifies the amount of variation or dispersion in a set of data. It is used to understand how spread out the values are from the mean or average value. In CSE, standard deviation is commonly used to analyze and compare performance metrics, such as execution time or memory usage, in algorithms or programs.
| 2. How is standard deviation calculated in computer science engineering (CSE)? | |
Ans. In computer science engineering, the standard deviation is calculated by following these steps:
1. Calculate the mean (average) of the data points.
2. Subtract the mean from each data point and square the result.
3. Calculate the mean of the squared differences.
4. Take the square root of the mean squared difference to obtain the standard deviation.
| 3. What is the significance of standard deviation in computer science engineering (CSE)? | |
Ans. Standard deviation is of great significance in computer science engineering as it provides valuable insights into the variability or dispersion of data. It helps in understanding the reliability and consistency of measurements, performance metrics, or experimental results. By comparing standard deviations, CSE professionals can determine which algorithms, models, or systems have more consistent or stable performance, aiding in decision-making and optimization.
| 4. How is standard deviation used in analyzing data in computer science engineering (CSE)? | |
Ans. In computer science engineering, standard deviation is widely used to analyze data in various ways:
- It helps in identifying outliers or extreme values that deviate significantly from the mean, which may indicate errors or anomalies in the data.
- It enables the comparison of different sets of data by quantifying their variability, allowing CSE professionals to determine which set performs better or has more consistent results.
- It aids in making predictions or estimating confidence intervals, where standard deviation is used in conjunction with the mean to understand the expected range of values.
- It assists in assessing the performance and stability of algorithms or systems by analyzing the standard deviation of relevant metrics, such as response time or throughput.
| 5. Can standard deviation be negative in computer science engineering (CSE)? | |
Ans. No, standard deviation cannot be negative in computer science engineering or any other field of study. Standard deviation is always a non-negative value as it represents the square root of the mean squared difference from the mean. It measures the dispersion or spread of data, and therefore, it cannot have a negative value. If a calculated standard deviation appears to be negative, it indicates an error in the calculation or a mistake in the data being analyzed.
Related Exams
About this Document
|
1.2K Views |
|
4.94/5 Rating |
|
Dec 24, 2024 Last updated |
Document Description: Standard Deviation for Civil Engineering (CE) 2024 is part of Engineering Mathematics preparation.
The notes and questions for Standard Deviation have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Standard Deviation covers topics
like and Standard Deviation Example, for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Standard Deviation.
Introduction of Standard Deviation in English is available as part of our Engineering Mathematics
for Civil Engineering (CE) & Standard Deviation in Hindi for Engineering Mathematics course.
Download more important topics related with notes, lectures and mock test series for Civil Engineering (CE)
Exam by signing up for free. Civil Engineering (CE): Standard Deviation | Engineering Mathematics - Civil Engineering (CE)
Description
Full syllabus notes, lecture & questions for Standard Deviation | Engineering Mathematics - Civil Engineering (CE) - Civil Engineering (CE) | Plus excerises question with solution to help you revise complete syllabus for Engineering Mathematics | Best notes, free PDF download
Information about Standard Deviation
In this doc you can find the meaning of Standard Deviation defined & explained in the simplest way possible. Besides explaining types of
Standard Deviation theory, EduRev gives you an ample number of questions to practice Standard Deviation tests, examples and also practice Civil Engineering (CE)
tests
|
Explore Courses for Civil Engineering (CE) exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Standard Deviation | Engineering Mathematics - Civil Engineering (CE)
,Exam
,Free
,Standard Deviation | Engineering Mathematics - Civil Engineering (CE)
,Previous Year Questions with Solutions
,Objective type Questions
,video lectures
,Standard Deviation | Engineering Mathematics - Civil Engineering (CE)
,Important questions
,shortcuts and tricks
,Summary
,study material
,past year papers
,MCQs
,Semester Notes
,Extra Questions
,ppt
,mock tests for examination
,Viva Questions
,Sample Paper
,practice quizzes
;
Additional Information about Standard Deviation for Civil Engineering (CE) Preparation
Standard Deviation Free PDF Download
The Standard Deviation is an invaluable resource that delves deep into the core of the Civil Engineering (CE) exam.
These study notes are curated by experts and cover all the essential topics and concepts, making your preparation more efficient and effective.
With the help of these notes, you can grasp complex subjects quickly, revise important points easily,
and reinforce your understanding of key concepts. The study notes are presented in a concise and easy-to-understand manner,
allowing you to optimize your learning process. Whether you're looking for best-recommended books, sample papers, study material,
or toppers' notes, this PDF has got you covered. Download the Standard Deviation now and kickstart your journey towards success in the Civil Engineering (CE) exam.
Importance of Standard Deviation
The importance of Standard Deviation cannot be overstated, especially for Civil Engineering (CE) aspirants.
This document holds the key to success in the Civil Engineering (CE) exam.
It offers a detailed understanding of the concept, providing invaluable insights into the topic.
By knowing the concepts well in advance, students can plan their preparation effectively.
Utilize this indispensable guide for a well-rounded preparation and achieve your desired results.
Standard Deviation Notes
Standard Deviation Notes offer in-depth insights into the specific topic to help you master it with ease.
This comprehensive document covers all aspects related to Standard Deviation.
It includes detailed information about the exam syllabus, recommended books, and study materials for a well-rounded preparation.
Practice papers and question papers enable you to assess your progress effectively.
Additionally, the paper analysis provides valuable tips for tackling the exam strategically.
Access to Toppers' notes gives you an edge in understanding complex concepts.
Whether you're a beginner or aiming for advanced proficiency, Standard Deviation Notes on EduRev are your ultimate resource for success.
Standard Deviation Civil Engineering (CE) Questions
The "Standard Deviation Civil Engineering (CE) Questions" guide is a valuable resource for all aspiring students preparing for the
Civil Engineering (CE) exam. It focuses on providing a wide range of practice questions to help students gauge
their understanding of the exam topics. These questions cover the entire syllabus, ensuring comprehensive preparation.
The guide includes previous years' question papers for students to familiarize themselves with the exam's format and difficulty level.
Additionally, it offers subject-specific question banks, allowing students to focus on weak areas and improve their performance.
Study Standard Deviation on the App
Students of Civil Engineering (CE) can study Standard Deviation alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Standard Deviation,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Standard Deviation is prepared as per the latest Civil Engineering (CE) syllabus.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup