Mathematics · Statistics
The distribution of trees in two forest patches A and B is studied. Each patch is divided into 25 smaller quadrats. In Patch A, every quadrat contains exactly 1 tree. In Patch B, 21 quadrats contain 0 trees, and the remaining four quadrats contain 2, 7, 10, and 6 trees respectively. Which of the following statements about the means (μ) and standard deviations (σ) of the tree counts in the two patches is true?
- 1μ(A) < μ(B), σ(A) < σ(B)
- 2μ(A) = μ(B), σ(A) < σ(B)✓
- 3μ(A) > μ(B), σ(A) > σ(B)
- 4μ(A) = μ(B), σ(A) = σ(B)
Correct answer
μ(A) = μ(B), σ(A) < σ(B)
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