The table below details 2025 performance and operational metrics for seven metropolitan transit corridors: | Corridor Code | Vehicle Fleet Size (Buses) | Zero-Emission Vehicles (%) | On-Time Departure Rate (%) | Annual Passenger Trips (Millions) | Operating Cost per Passenger Trip () | |---|---|---|

The table below details 2025 performance and operational metrics for seven metropolitan tr… — GMAT

The table below details 2025 performance and operational metrics for seven metropolitan transit corridors:

Corridor Code	Vehicle Fleet Size (Buses)	Zero-Emission Vehicles (%)	On-Time Departure Rate (%)	Annual Passenger Trips (Millions)	Operating Cost per Passenger Trip ($)
C-North	120	45%	92%	18.0	$2.40
C-South	200	60%	85%	32.0	$1.95
C-East	80	25%	94%	10.0	$3.10
C-West	150	40%	88%	22.5	$2.20
C-Central	250	70%	81%	45.0	$1.80
C-Harbor	90	55%	90%	12.0	$2.85
C-Airport	110	30%	96%	15.0	$2.60

Match each of the three statements on the left with its correct evaluation description on the right based on the data provided.

Statement 1: The median operating cost per passenger trip across all seven corridors is greater than the weighted average operating cost per passenger trip for the entire transit system.Evaluates to True because the median cost per trip ( $2.40$ ) exceeds the overall weighted average cost per trip (approximately $2.20$ ).
Statement 2: For corridors where the Zero-Emission Vehicles percentage is at least $45\%$ , the mean vehicle fleet size is strictly less than the mean vehicle fleet size of corridors with a Zero-Emission Vehicles percentage below $45\%$ .Evaluates to False because the mean fleet size of the $\ge 45\%$ zero-emission group ( $165$ buses) is greater than, rather than less than, that of the comparison group (approximately $113.33$ buses).
Statement 3: Among corridors with an On-Time Departure Rate of at least $88\%$ , the corridor with the highest ratio of annual passenger trips per vehicle is C-South.Evaluates to False because C-South has an On-Time Departure Rate of $85\%$ , which fails the minimum $88\%$ conditional filter.

Cevap

Statement 1 matches the evaluation confirming it is True (

2.40 > 2.2026

); Statement 2 matches the evaluation confirming it is False because

165 > 113.33

; Statement 3 matches the evaluation confirming it is False due to C-South failing the conditional threshold.

Each statement matches its precise evaluation. Statement 1 correctly identifies that the median cost per trip (

2.40

) exceeds the weighted average system cost (

2.2026

). Statement 2 identifies that the mean fleet size for high zero-emission corridors (

165

) is higher, not lower, than for low zero-emission corridors (

113.33

). Statement 3 correctly identifies that C-South is excluded altogether because its on-time departure rate is

85\%

, below the required

88\%

threshold.

Adım Adım Çözüm

Calculate the median operating cost and system-wide weighted average operating cost for Statement 1.

Corridor operating costs in ascending order:

\$1.80, \$1.95, \$2.20, \$2.40, \$2.60, \$2.85, \$3.10

. Median =

\$2.40

. Total system operating cost =

\$340.3\text{ million}

; total trips =

154.5\text{ million}

. Weighted average =

\$340.3 / 154.5 \approx \$2.2026

. Median (

\$2.40

) > Weighted Average (

\$2.2026

). Statement 1 is True.

Evaluates median vs. weighted average accurately across unequal trip volumes.

Filter and calculate subset fleet means for Statement 2.

Corridors with Zero-Emission

\ge 45\%

: C-North (

120

), C-South (

200

), C-Central (

250

), C-Harbor (

90

). Mean =

660 / 4 = 165

. Corridors with Zero-Emission

< 45\%

: C-East (

80

), C-West (

150

), C-Airport (

110

). Mean =

340 / 3 \approx 113.33

165 > 113.33

, so the statement claiming

165 < 113.33

is False.

Compares conditional subgroup averages correctly.

Apply conditional filtering for Statement 3 based on On-Time Departure Rate.

Corridors with On-Time Departure Rate

\ge 88\%

include C-North, C-East, C-West, C-Harbor, and C-Airport. C-South has an On-Time Departure Rate of

85\% < 88\%

, so it is excluded from the comparison set. Statement 3 is False.

Prevents evaluating metrics on elements that do not satisfy pre-requisite conditional criteria.

Anahtar Kavram

Multi-Statement Boolean Evaluation on Tabular Data

Soru

Cevap

Adım Adım Çözüm

Anahtar Kavram

Sık Yapılan Hatalar

Konular

Bu konudan daha fazla soru