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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?
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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.
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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?
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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?.
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