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Assertion (A): The mode of a dataset is always a unique value.
Reason (R): A dataset can contain multiple values that occur with the same highest frequency.
  • a)
    If both Assertion and Reason are true and Reason is the correct explanation of Assertion
  • b)
    If both Assertion and Reason are true but Reason is not the correct explanation of Assertion
  • c)
    If Assertion is true but Reason is false
  • d)
    If both Assertion and Reason are false
Correct answer is option 'B'. Can you explain this answer?
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Assertion (A): The mode of a dataset is always a unique value. Reason ...
  • The assertion is false because the mode is not always unique; a dataset can have multiple modes (bimodal or multimodal).
  • The reason is true as it correctly states that multiple values can share the highest frequency.
  • Since the assertion is false and the reason is true, the reason does not correctly explain the assertion.
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Assertion (A): The mode of a dataset is always a unique value. Reason ...
Understanding the Assertion and Reason
The Assertion (A) states that "The mode of a dataset is always a unique value." Meanwhile, the Reason (R) explains that "A dataset can contain multiple values that occur with the same highest frequency."
Analysis of the Assertion
- The mode is defined as the value that appears most frequently in a dataset.
- While a dataset can indeed have one mode (unimodal), it can also have multiple modes (bimodal or multimodal) if two or more values share the highest frequency of occurrence.
Analysis of the Reason
- The Reason is accurate as it captures the essence of how modes can exist in various forms.
- A dataset may have multiple values with the same frequency, demonstrating that the mode isn't always a singular value.
Conclusion
- Since the Assertion is incorrect (the mode is not always unique), but the Reason is correct (multiple modes can exist), the correct option is:
Option B: Both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
This distinction is crucial in understanding the nature of modes in statistics. The presence of multiple modes invalidates the assertion of uniqueness, highlighting the importance of context when discussing statistical measures.
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Assertion (A): The mode of a dataset is always a unique value. Reason (R): A dataset can contain multiple values that occur with the same highest frequency.a)If both Assertion and Reason are true and Reason is the correct explanation of Assertionb)If both Assertion and Reason are true but Reason is not the correct explanation of Assertionc)If Assertion is true but Reason is falsed)If both Assertion and Reason are falseCorrect answer is option 'B'. Can you explain this answer?
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Assertion (A): The mode of a dataset is always a unique value. Reason (R): A dataset can contain multiple values that occur with the same highest frequency.a)If both Assertion and Reason are true and Reason is the correct explanation of Assertionb)If both Assertion and Reason are true but Reason is not the correct explanation of Assertionc)If Assertion is true but Reason is falsed)If both Assertion and Reason are falseCorrect answer is option 'B'. Can you explain this answer? for UGC NET 2025 is part of UGC NET preparation. The Question and answers have been prepared according to the UGC NET exam syllabus. Information about Assertion (A): The mode of a dataset is always a unique value. Reason (R): A dataset can contain multiple values that occur with the same highest frequency.a)If both Assertion and Reason are true and Reason is the correct explanation of Assertionb)If both Assertion and Reason are true but Reason is not the correct explanation of Assertionc)If Assertion is true but Reason is falsed)If both Assertion and Reason are falseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UGC NET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): The mode of a dataset is always a unique value. Reason (R): A dataset can contain multiple values that occur with the same highest frequency.a)If both Assertion and Reason are true and Reason is the correct explanation of Assertionb)If both Assertion and Reason are true but Reason is not the correct explanation of Assertionc)If Assertion is true but Reason is falsed)If both Assertion and Reason are falseCorrect answer is option 'B'. Can you explain this answer?.
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