Question

Difficulty: MediumCross-Column Correlation and Trends

The table below details operational and environmental metrics recorded in 2025 across 10 international container hub ports:

Port IDContainer Throughput (M TEUs)Average Berth Dwell Time (hrs)Automated Crane Ratio (%)Carbon Intensity (g CO₂/ton-km)
Port Alpha14.234.51828.4
Port Beta8.531.02526.2
Port Gamma22.128.23524.5
Port Delta11.026.04223.0
Port Epsilon18.723.55021.8
Port Zeta6.421.05820.1
Port Eta25.319.26418.9
Port Theta16.017.57217.5
Port Iota29.815.08016.0
Port Kappa12.613.28814.2

If the table is sorted in ascending order by Automated Crane Ratio (%), which of the following statements correctly describes a cross-column trend observed across all ten ports?

  1. As the Automated Crane Ratio increases, both the Average Berth Dwell Time and the Carbon Intensity decrease monotonically across all ten ports.Answer
  2. B
    As the Automated Crane Ratio increases, Container Throughput increases monotonically across all ten ports.
  3. C
    As the Automated Crane Ratio increases, Average Berth Dwell Time decreases, but Carbon Intensity shows no consistent direction across the ports.
  4. D
    Average Berth Dwell Time increases as Carbon Intensity decreases across all ten ports.
  5. E
    Container Throughput and Average Berth Dwell Time exhibit a strict inverse correlation across all ten ports.

Answer

As the Automated Crane Ratio increases, both the Average Berth Dwell Time and the Carbon Intensity decrease monotonically across all ten ports.
When the table is ordered by Automated Crane Ratio (%) from lowest (18%) to highest (88%), the values for Average Berth Dwell Time continuously drop from 34.5 to 13.2 hours, and Carbon Intensity continuously drops from 28.4 to 14.2 g CO₂/ton-km. Therefore, both metrics decrease monotonically as automation increases.

Step-by-Step Solution

1
Identify the primary sort column and order the table elements accordingly.
The Automated Crane Ratio values in ascending order are: 18% (Alpha), 25% (Beta), 35% (Gamma), 42% (Delta), 50% (Epsilon), 58% (Zeta), 64% (Eta), 72% (Theta), 80% (Iota), and 88% (Kappa).
The question specifies sorting the data by Automated Crane Ratio (%) in ascending order.
2
Examine the corresponding row values for Average Berth Dwell Time (hrs).
Dwell times in sorted order: 34.5, 31.0, 28.2, 26.0, 23.5, 21.0, 19.2, 17.5, 15.0, 13.2 hours. Each value is strictly smaller than the preceding value.
To verify if Average Berth Dwell Time displays a monotonic trend across all ten data points.
3
Examine the corresponding row values for Carbon Intensity (g CO₂/ton-km).
Carbon Intensity values in sorted order: 28.4, 26.2, 24.5, 23.0, 21.8, 20.1, 18.9, 17.5, 16.0, 14.2. Each value is strictly smaller than the preceding value.
To verify if Carbon Intensity displays a monotonic trend parallel to Berth Dwell Time.
4
Check Container Throughput (M TEUs) for any monotonic trend.
Throughput values in sorted order: 14.2, 8.5, 22.1, 11.0, 18.7, 6.4, 25.3, 16.0, 29.8, 12.6. This sequence increases and decreases non-monotonically.
To evaluate and rule out statements asserting a consistent trend in Container Throughput.

Key Concept

Cross-Column Correlation and Trend Analysis
Estimated Time:2m 0s
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