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Zorluk: KolayMulti-Statement Boolean Evaluation

The table below shows logistics performance data for six regional warehouses during the third quarter:

WarehouseRegionTotal ShipmentsOn-Time Delivery RateAvg. Processing Time (Hours)
AlphaEast12,00094%14.5
BetaWest8,50096%12.0
GammaEast15,20091%16.0
DeltaSouth9,10098%10.5
EpsilonWest11,40095%13.0
ZetaSouth14,00093%15.0

Match each statement on the left with its correct evaluation outcome on the right based on the table.

  • Statement I: The average processing time for warehouses in the West region is less than 13.0 hours.True — The average processing time for the West region is 12.5 hours.
  • Statement II: The warehouse with the highest total shipments also has the lowest on-time delivery rate.True — Gamma has the highest shipments (15,200) and lowest delivery rate (91%).
  • Statement III: More than half of the listed warehouses achieved an on-time delivery rate greater than 94%.False — Exactly 3 of 6 warehouses (50%) exceed 94%, which is not strictly more than half.

Cevap

Statement I matches with True (West region average is 12.5 hours); Statement II matches with True (Gamma has highest shipments and lowest delivery rate); Statement III matches with False (3 out of 6 is exactly half, not more than half).
Each statement is evaluated against the data in the table: Statement I evaluates to True because the average for West warehouses (12.0 and 13.0) is 12.5 hours. Statement II evaluates to True because Gamma holds both the maximum shipment volume (15,200) and minimum delivery rate (91%). Statement III evaluates to False because exactly 3 out of 6 warehouses (50%) have delivery rates above 94%, which does not exceed half.

Adım Adım Çözüm

1
Evaluate Statement I by filtering by Region = West.
Beta (12.0 hrs) and Epsilon (13.0 hrs) are in the West. Average = (12.0 + 13.0) / 2 = 12.5 hours. 12.5 < 13.0 is True.
Calculate the mean value of processing time for the specified subset.
2
Evaluate Statement II by identifying the maximum shipment count and minimum delivery rate.
Maximum shipments = 15,200 (Gamma). Minimum delivery rate = 91% (Gamma). The condition holds True.
Determine if both extreme statistical properties apply to the same entity.
3
Evaluate Statement III by filtering for delivery rates > 94%.
Beta (96%), Delta (98%), and Epsilon (95%) qualify (3 warehouses). 3 out of 6 equals 50%, which is not > 50%. The statement is False.
Compare the count of matching rows against the threshold 'more than half' (strictly greater than 50%).

Anahtar Kavram

Multi-Statement Boolean Evaluation on Tabular Data
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