Part ACSIR NET June 2024same-mean-different-spread

Same mean different spread

The diagrams show the distribution of trees in two forest patches A and B. Each patch is divided into smaller “quadrats”. The number of trees in each quadrat is shown. Which one of the following statements about the means $(μ)$ and standard deviations $(σ)$ of the numbers of trees in the two patches is true?

Forest Patch A


1	1	1	1	1
1	1	1	1	1
1	1	1	1	1
1	1	1	1	1
1	1	1	1	1

Forest Patch B


2	0	0	0
0	0	0	0
0	0	7	0
0	10	0	0
0	0	0	6

A. $μ (A) = μ (B), σ (A) = σ (B)$
B. $μ (A) > μ (B), σ (A) > σ (B)$
C. $μ (A) = μ (B), σ (A) < σ (B)$ ✓
D. $μ (A) < μ (B), σ (A) < σ (B)$

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

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