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Assertion (A): The weight of a quantity indicates the relative precision of a quantity within a set of observation.
Reason (R): The weights are generally taken as directly proportional to the variance of the standard errors.
- a)Both assertion (A) and Reason (R) are individually true and Reason (R) is the correct explanation of Assertion (A)
- b)Both Assertion (A) and Reason (R) are individually true but Reason (R) is NOT the correct explanation of Assertion (A)
- c)Assertion (A) is true but Reason (R) is false
- d)Assertion (A) is the false but Reason (R) is true
Correct answer is option 'C'. Can you explain this answer?
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Assertion (A): The weight of a quantity indicates the relative precis...
The weight of observation is a measure of its relative trustworthiness. The more reliable the result, the higher is its weight. The weights of the measurement results are assumed to be inversely proportional to the square of their respective mean square error.
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Assertion (A): The weight of a quantity indicates the relative precis...
Assertion (A): The weight of a quantity indicates the relative precision of a quantity within a set of observation.
Reason (R): The weights are generally taken as directly proportional to the variance of the standard errors.
Correct Answer: Option C - Assertion (A) is true but Reason (R) is false.
Explanation:
The weight of a quantity does not indicate the relative precision of a quantity within a set of observations. Instead, it represents the importance or significance of the quantity in a particular context. In statistics, weights are used to assign different levels of importance to different observations or variables in an analysis.
The reason provided is incorrect because weights are not generally taken as directly proportional to the variance of the standard errors. The weights are determined based on various factors such as the reliability of the data, the sample size, the representativeness of the observations, and the specific objectives of the analysis.
Weighting is commonly used in statistical analysis, especially in techniques such as weighted least squares regression or weighted mean calculations. These techniques aim to give more importance to certain observations or variables that are considered to be more reliable or representative of the population.
The precision of a quantity within a set of observations is typically measured using statistical measures such as standard deviation or standard error. The weight of a quantity is not directly related to its precision.
In conclusion, while Assertion (A) is true as the weight of a quantity represents its importance or significance, Reason (R) is false as weights are not generally proportional to the variance of the standard errors.
Reason (R): The weights are generally taken as directly proportional to the variance of the standard errors.
Correct Answer: Option C - Assertion (A) is true but Reason (R) is false.
Explanation:
The weight of a quantity does not indicate the relative precision of a quantity within a set of observations. Instead, it represents the importance or significance of the quantity in a particular context. In statistics, weights are used to assign different levels of importance to different observations or variables in an analysis.
The reason provided is incorrect because weights are not generally taken as directly proportional to the variance of the standard errors. The weights are determined based on various factors such as the reliability of the data, the sample size, the representativeness of the observations, and the specific objectives of the analysis.
Weighting is commonly used in statistical analysis, especially in techniques such as weighted least squares regression or weighted mean calculations. These techniques aim to give more importance to certain observations or variables that are considered to be more reliable or representative of the population.
The precision of a quantity within a set of observations is typically measured using statistical measures such as standard deviation or standard error. The weight of a quantity is not directly related to its precision.
In conclusion, while Assertion (A) is true as the weight of a quantity represents its importance or significance, Reason (R) is false as weights are not generally proportional to the variance of the standard errors.
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Assertion (A): The weight of a quantity indicates the relative precision of a quantity within a set of observation.Reason (R): The weights are generally taken as directly proportional to the variance of the standard errors.a)Both assertion (A) and Reason (R) are individually true and Reason (R) is the correct explanation of Assertion (A)b)Both Assertion (A) and Reason (R) are individually true but Reason (R) is NOT the correct explanation of Assertion (A)c)Assertion (A) is true but Reason (R) is falsed)Assertion (A) is the false but Reason (R) is trueCorrect answer is option 'C'. Can you explain this answer?
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Assertion (A): The weight of a quantity indicates the relative precision of a quantity within a set of observation.Reason (R): The weights are generally taken as directly proportional to the variance of the standard errors.a)Both assertion (A) and Reason (R) are individually true and Reason (R) is the correct explanation of Assertion (A)b)Both Assertion (A) and Reason (R) are individually true but Reason (R) is NOT the correct explanation of Assertion (A)c)Assertion (A) is true but Reason (R) is falsed)Assertion (A) is the false but Reason (R) is trueCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Assertion (A): The weight of a quantity indicates the relative precision of a quantity within a set of observation.Reason (R): The weights are generally taken as directly proportional to the variance of the standard errors.a)Both assertion (A) and Reason (R) are individually true and Reason (R) is the correct explanation of Assertion (A)b)Both Assertion (A) and Reason (R) are individually true but Reason (R) is NOT the correct explanation of Assertion (A)c)Assertion (A) is true but Reason (R) is falsed)Assertion (A) is the false but Reason (R) is trueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): The weight of a quantity indicates the relative precision of a quantity within a set of observation.Reason (R): The weights are generally taken as directly proportional to the variance of the standard errors.a)Both assertion (A) and Reason (R) are individually true and Reason (R) is the correct explanation of Assertion (A)b)Both Assertion (A) and Reason (R) are individually true but Reason (R) is NOT the correct explanation of Assertion (A)c)Assertion (A) is true but Reason (R) is falsed)Assertion (A) is the false but Reason (R) is trueCorrect answer is option 'C'. Can you explain this answer?.
Assertion (A): The weight of a quantity indicates the relative precision of a quantity within a set of observation.Reason (R): The weights are generally taken as directly proportional to the variance of the standard errors.a)Both assertion (A) and Reason (R) are individually true and Reason (R) is the correct explanation of Assertion (A)b)Both Assertion (A) and Reason (R) are individually true but Reason (R) is NOT the correct explanation of Assertion (A)c)Assertion (A) is true but Reason (R) is falsed)Assertion (A) is the false but Reason (R) is trueCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Assertion (A): The weight of a quantity indicates the relative precision of a quantity within a set of observation.Reason (R): The weights are generally taken as directly proportional to the variance of the standard errors.a)Both assertion (A) and Reason (R) are individually true and Reason (R) is the correct explanation of Assertion (A)b)Both Assertion (A) and Reason (R) are individually true but Reason (R) is NOT the correct explanation of Assertion (A)c)Assertion (A) is true but Reason (R) is falsed)Assertion (A) is the false but Reason (R) is trueCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): The weight of a quantity indicates the relative precision of a quantity within a set of observation.Reason (R): The weights are generally taken as directly proportional to the variance of the standard errors.a)Both assertion (A) and Reason (R) are individually true and Reason (R) is the correct explanation of Assertion (A)b)Both Assertion (A) and Reason (R) are individually true but Reason (R) is NOT the correct explanation of Assertion (A)c)Assertion (A) is true but Reason (R) is falsed)Assertion (A) is the false but Reason (R) is trueCorrect answer is option 'C'. Can you explain this answer?.
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