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Zorluk: ZorDescriptive Statistics Interpretation

The table below details performance and financial metrics for 10 municipal express bus routes operated by a regional transit authority:

Route IDZone TypeDaily Ridership (Thousands)On-Time Performance (%)Operating Cost per Passenger ($)
Route U1Urban Core14.214.282.5%82.5\%3.403.40
Route U2Urban Core18.518.576.0%76.0\%2.902.90
Route U3Urban Core22.022.088.0%88.0\%4.104.10
Route U4Urban Core11.011.091.5%91.5\%3.703.70
Route U5Urban Core16.416.479.0%79.0\%2.502.50
Route U6Urban Core25.125.184.0%84.0\%4.804.80
Route S1Suburban8.28.294.0%94.0\%5.205.20
Route S2Suburban6.56.592.5%92.5\%5.805.80
Route S3Suburban9.09.089.0%89.0\%4.904.90
Route S4Suburban5.45.495.5%95.5\%6.106.10

Based on the table, what is the median Operating Cost per Passenger ($) for the express bus routes operating in the Urban Core zone?

  1. A
    3.403.40
  2. 3.553.55Cevap
  3. C
    3.573.57
  4. D
    3.703.70
  5. E
    3.903.90

Cevap

The median Operating Cost per Passenger for the Urban Core routes is $3.55.
Filtering the table for 'Urban Core' yields 6 routes. Sorting their Operating Cost per Passenger in ascending order gives: 2.50,2.50, 2.90, 3.40,3.40, 3.70, 4.10,and4.10, and 4.80. Because there is an even number of items (6), the median is the arithmetic average of the middle two values (3.40and3.40 and 3.70), which equals $3.55.

Adım Adım Çözüm

1
Filter the table data for routes located in the 'Urban Core' Zone Type.
Identified 6 Urban Core routes: Route U1 (3.40),RouteU2(3.40), Route U2 ( 2.90), Route U3 (4.10),RouteU4(4.10), Route U4 ( 3.70), Route U5 (2.50),andRouteU6(2.50), and Route U6 ( 4.80).
The question specifies finding descriptive statistics exclusively for the Urban Core zone routes.
2
Order the Operating Cost per Passenger values of the filtered Urban Core routes from least to greatest.
Sorted list of costs: 2.50,2.50, 2.90, 3.40,3.40, 3.70, 4.10,4.10, 4.80.
Finding a median requires ascending or descending order of values.
3
Calculate the median for the even dataset size (N=6N = 6).
The two central values are the 3rd (3.40)and4th(3.40) and 4th ( 3.70) elements. Median = $3.40+$3.702=$3.55\frac{\$3.40 + \$3.70}{2} = \$3.55.
When a dataset contains an even number of elements, the median is the arithmetic mean of the two middle elements.

Anahtar Kavram

Descriptive Statistics Interpretation (Median of Filtered Even-Count Datasets)
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