Which of the following statements is/are correct regarding entropy as a…

2023

Which of the following statements is/are correct regarding entropy as a measure of uncertainty in data?

I. Low entropy indicates that the data labels are relatively homogeneous.

II. High entropy indicates that the data labels are more mixed or uncertain.

Answer: A. Both I and IIKey idea: Entropy measures uncertainty or impurity in class labels. Low entropy: labels are mostly homogeneous, so there is little uncertainty. High entropy:…

  1. A.

    Both I and II

  2. B.

    Only II

  3. C.

    Neither I nor II

  4. D.

    Only I

Attempted by 2 students.

Show answer & explanation

Correct answer: A

Key idea: Entropy measures uncertainty or impurity in class labels.

  • Low entropy: labels are mostly homogeneous, so there is little uncertainty.

  • High entropy: labels are highly mixed, so uncertainty is high.

Check the statements:

  • Statement I: Correct, because homogeneous labels have low entropy.

  • Statement II: Correct, because mixed labels have high entropy.

Answer: Both I and II are correct.

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