The table below details operational metrics for 10 wind turbines managed by a renewable energy utility during the previous calendar year:
| Turbine ID | Region | Capacity (MW) | Availability (%) | Unplanned Maintenance (hours) |
|---|---|---|---|---|
| T-01 | Offshore | 6.0 | 94.2 | 48 |
| T-02 | Onshore | 4.0 | 97.5 | 18 |
| T-03 | Offshore | 8.0 | 91.0 | 84 |
| T-04 | Onshore | 3.5 | 98.1 | 12 |
| T-05 | Offshore | 6.0 | 95.8 | 36 |
| T-06 | Offshore | 8.0 | 93.5 | 62 |
| T-07 | Onshore | 4.0 | 96.0 | 24 |
| T-08 | Offshore | 6.0 | 92.4 | 70 |
| T-09 | Onshore | 3.5 | 98.8 | 8 |
| T-10 | Offshore | 8.0 | 96.5 | 28 |
Based on the table, what is the median number of unplanned maintenance hours for turbines located in the Offshore region?
Answer: 55 hours
Answer
The median number of unplanned maintenance hours for turbines in the Offshore region is 55 hours.
Filtering the table for Offshore turbines yields 6 entries with unplanned maintenance hours of 48, 84, 36, 62, 70, and 28. Arranging these values in ascending order gives {28, 36, 48, 62, 70, 84}. Because the count is even (N = 6), the median is the average of the 3rd and 4th elements: (48 + 62) / 2 = 55 hours.
Step-by-Step Solution
Key Concept
Descriptive Statistics Interpretation (Median of Even-Count Filtered Subsets)
Estimated Time:1m 30s