UPSC Exam > UPSC Questions > In an experiment to measure focal length of a...
Start Learning for Free
In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way?
Most Upvoted Answer
In an experiment to measure focal length of a concave mirror the value...
Mean Absolute Error Calculation:
- Calculate the absolute error for each observation:
- |17.3 - 18.0| = 0.7
- |18.3 - 18.0| = 0.3
- |18.2 - 18.0| = 0.2
- |17.9 - 18.0| = 0.1
- |18.0 - 18.0| = 0
- Add up all the absolute errors: 0.7 + 0.3 + 0.2 + 0.1 + 0 = 1.3
- Divide the total absolute error by the number of observations (5 in this case):
- Mean Absolute Error = 1.3 / 5 = 0.26 cm
Percentage Error Calculation:
- Calculate the percentage error for each observation:
- (|17.3 - 18.0| / 18.0) * 100 = 3.89%
- (|18.3 - 18.0| / 18.0) * 100 = 1.67%
- (|18.2 - 18.0| / 18.0) * 100 = 1.11%
- (|17.9 - 18.0| / 18.0) * 100 = 0.56%
- (|18.0 - 18.0| / 18.0) * 100 = 0%
- Add up all the percentage errors: 3.89% + 1.67% + 1.11% + 0.56% + 0% = 7.23%
- Divide the total percentage error by the number of observations (5 in this case):
- Mean Percentage Error = 7.23% / 5 = 1.45%
Therefore, the mean absolute error is 0.26 cm and the mean percentage error is 1.45%. These values represent the average deviation of the measured focal length from the actual focal length of the concave mirror.
- Calculate the absolute error for each observation:
- |17.3 - 18.0| = 0.7
- |18.3 - 18.0| = 0.3
- |18.2 - 18.0| = 0.2
- |17.9 - 18.0| = 0.1
- |18.0 - 18.0| = 0
- Add up all the absolute errors: 0.7 + 0.3 + 0.2 + 0.1 + 0 = 1.3
- Divide the total absolute error by the number of observations (5 in this case):
- Mean Absolute Error = 1.3 / 5 = 0.26 cm
Percentage Error Calculation:
- Calculate the percentage error for each observation:
- (|17.3 - 18.0| / 18.0) * 100 = 3.89%
- (|18.3 - 18.0| / 18.0) * 100 = 1.67%
- (|18.2 - 18.0| / 18.0) * 100 = 1.11%
- (|17.9 - 18.0| / 18.0) * 100 = 0.56%
- (|18.0 - 18.0| / 18.0) * 100 = 0%
- Add up all the percentage errors: 3.89% + 1.67% + 1.11% + 0.56% + 0% = 7.23%
- Divide the total percentage error by the number of observations (5 in this case):
- Mean Percentage Error = 7.23% / 5 = 1.45%
Therefore, the mean absolute error is 0.26 cm and the mean percentage error is 1.45%. These values represent the average deviation of the measured focal length from the actual focal length of the concave mirror.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way?
Question Description
In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way?.
In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way?.
Solutions for In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way? defined & explained in the simplest way possible. Besides giving the explanation of
In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way?, a detailed solution for In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way? has been provided alongside types of In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way? theory, EduRev gives you an
ample number of questions to practice In an experiment to measure focal length of a concave mirror the value of focal length in successive observation turns out to be 17.3 , 18.3, 18.2, 17.9,18.0 cm . calculate the mean absolute error and percentage error. express the result in proper way? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup