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Brief Explanations
To solve this, we analyze each option:
- Option A: Calculate interquartile range (IQR = Third Quartile - First Quartile). For Big Rock: \( 191 - 151.5 = 39.5 \). For Red River: \( 216 - 143 = 73 \). Since \( 73 > 39.5 \), Red River's IQR is greater.
- Option B: Median (second quartile) for Big Rock is 160, Red River is 155. This means 50% of Big Rock deer are ≤160, 50% of Red River ≤155. So Big Rock has fewer deer ≤155, not more. Eliminate B.
- Option C: Big Rock median is 160, Red River is 155. So Big Rock's median is higher. Eliminate C.
- Option D: Median for Big Rock is 160 (50% ≥160), Red River is 155 (50% ≥155). We can't conclude Red River has more deer ≥160. Eliminate D.
Only Option A is correct.
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A. The interquartile range for Red River forest is greater than the interquartile range for Big Rock forest.