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Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:
Assertion (A): A good measure of dispersion needs to be least affected by change in the sampling.
Reason (R): Standard deviation is the best measure of dispersion.
- a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).
- b)Both Assertion (A) and Reason (R) are 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 false, but Reason (R) is true.
Correct answer is option 'B'. Can you explain this answer?
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Directions : In the following questions, a statement of Assertion (A)...
A measure of dispersion should be rigidly defined. It must be easy to calculate and understand. Not affected much by the fluctuations of observations. Based on all observations.
Standard deviation (SD) is the most commonly used measure of dispersion. It is a measure of spread of data about the mean.
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Directions : In the following questions, a statement of Assertion (A)...
Assertion (A): A good measure of dispersion needs to be least affected by change in the sampling.
Reason (R): Standard deviation is the best measure of dispersion.
Explanation:
The assertion states that a good measure of dispersion should be least affected by changes in the sampling. In other words, the measure should provide consistent results regardless of the sample taken from the population.
The reason given is that the standard deviation is the best measure of dispersion. Let's analyze both the assertion and the reason in detail.
Why the assertion is true:
- When measuring dispersion, we want a measure that accurately represents the variability or spread of data points in a dataset.
- A good measure of dispersion should not be heavily influenced by extreme values or outliers in the dataset.
- Additionally, it should provide reliable and consistent results across different samples taken from the population.
- If a measure of dispersion is affected by changes in the sampling, it may not provide a true representation of the population's variability.
Why the reason is true:
- Standard deviation is a commonly used measure of dispersion.
- It calculates the average distance of data points from the mean.
- Standard deviation takes into account all the data points in the dataset and provides a measure of how spread out they are.
- It is not heavily influenced by extreme values, making it a robust measure of dispersion.
Explanation of the correct choice:
The correct choice is option 'B' - Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- While the assertion is true, the reason does not explain why the standard deviation is the best measure of dispersion.
- The reason only highlights the characteristics of the standard deviation without directly linking it to the assertion.
- Other measures of dispersion, such as the range or interquartile range, can also be used depending on the specific requirements of the analysis.
In conclusion, both the assertion and the reason are true, but the reason does not provide a direct explanation for the assertion. Other measures of dispersion can also be appropriate depending on the context and requirements of the analysis.
Reason (R): Standard deviation is the best measure of dispersion.
Explanation:
The assertion states that a good measure of dispersion should be least affected by changes in the sampling. In other words, the measure should provide consistent results regardless of the sample taken from the population.
The reason given is that the standard deviation is the best measure of dispersion. Let's analyze both the assertion and the reason in detail.
Why the assertion is true:
- When measuring dispersion, we want a measure that accurately represents the variability or spread of data points in a dataset.
- A good measure of dispersion should not be heavily influenced by extreme values or outliers in the dataset.
- Additionally, it should provide reliable and consistent results across different samples taken from the population.
- If a measure of dispersion is affected by changes in the sampling, it may not provide a true representation of the population's variability.
Why the reason is true:
- Standard deviation is a commonly used measure of dispersion.
- It calculates the average distance of data points from the mean.
- Standard deviation takes into account all the data points in the dataset and provides a measure of how spread out they are.
- It is not heavily influenced by extreme values, making it a robust measure of dispersion.
Explanation of the correct choice:
The correct choice is option 'B' - Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- While the assertion is true, the reason does not explain why the standard deviation is the best measure of dispersion.
- The reason only highlights the characteristics of the standard deviation without directly linking it to the assertion.
- Other measures of dispersion, such as the range or interquartile range, can also be used depending on the specific requirements of the analysis.
In conclusion, both the assertion and the reason are true, but the reason does not provide a direct explanation for the assertion. Other measures of dispersion can also be appropriate depending on the context and requirements of the analysis.
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Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): A good measure of dispersion needs to be least affected by change in the sampling.Reason (R): Standard deviation is the best measure of dispersion.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are 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 false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer?
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Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): A good measure of dispersion needs to be least affected by change in the sampling.Reason (R): Standard deviation is the best measure of dispersion.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are 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 false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): A good measure of dispersion needs to be least affected by change in the sampling.Reason (R): Standard deviation is the best measure of dispersion.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are 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 false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): A good measure of dispersion needs to be least affected by change in the sampling.Reason (R): Standard deviation is the best measure of dispersion.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are 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 false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer?.
Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): A good measure of dispersion needs to be least affected by change in the sampling.Reason (R): Standard deviation is the best measure of dispersion.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are 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 false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer? for Commerce 2024 is part of Commerce preparation. The Question and answers have been prepared according to the Commerce exam syllabus. Information about Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): A good measure of dispersion needs to be least affected by change in the sampling.Reason (R): Standard deviation is the best measure of dispersion.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are 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 false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Commerce 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): A good measure of dispersion needs to be least affected by change in the sampling.Reason (R): Standard deviation is the best measure of dispersion.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are 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 false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer?.
Solutions for Directions : In the following questions, a statement of Assertion (A) is followed by a statement of Reason (R). Mark the correct choice as:Assertion (A): A good measure of dispersion needs to be least affected by change in the sampling.Reason (R): Standard deviation is the best measure of dispersion.a)Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct explanation of Assertion (A).b)Both Assertion (A) and Reason (R) are 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 false, but Reason (R) is true.Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Commerce.
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