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Zorluk: KolayResolving Statistical and Proportional Paradoxes

Last year, the city of Riverton issued significantly fewer parking tickets than it did the year before. However, the total revenue Riverton actually collected from parking tickets was substantially higher last year than the year before. Which of the following statements, if true, help to resolve the apparent discrepancy described above? Select all that apply.

  1. The city council significantly increased the monetary penalty for all parking violations at the beginning of last year.Cevap
  2. Last year, parking enforcement focused almost entirely on commercial vehicle violations, which carry fines that are several times larger than standard passenger vehicle fines.Cevap
  3. C
    The city implemented an early-payment discount last year that reduced the amount most offenders actually paid for their tickets.
  4. D
    The total number of registered vehicles and daily commuters in Riverton decreased last year.
  5. E
    Most cities in the region surrounding Riverton also reported a decrease in the number of parking tickets issued last year.

Cevap

The correct statements are the one indicating an increase in all monetary penalties and the one indicating a shift toward much more expensive commercial vehicle tickets.
The apparent discrepancy is a classic volume-versus-revenue paradox. The city issued fewer tickets, yet made more money. Mathematically, this is only possible if the average amount of money collected per ticket increased enough to offset the drop in overall volume. Both correct statements provide a mechanism for this: one shows a direct increase in the base cost of all tickets, and the other shows a compositional shift toward issuing a higher proportion of very expensive tickets. Either scenario perfectly resolves how fewer total tickets could yield more total revenue.

Adım Adım Çözüm

1
Identify the two conflicting facts in the stimulus.
Fact 1: The total number of parking tickets decreased. Fact 2: The total revenue from parking tickets increased.
Understanding the exact parameters of the paradox is required to find a statement that bridges them.
2
Determine the mathematical relationship between the facts.
Total Revenue = (Number of Tickets) x (Average Revenue per Ticket).
Breaking down the statistical formula reveals the missing variable that must have changed.
3
Formulate a hypothesis for resolution.
Since the Number of Tickets went down, the Average Revenue per Ticket must have gone up significantly to result in a higher Total Revenue.
This establishes the exact criteria a correct answer choice must meet.
4
Evaluate the options against the hypothesis.
The statement about increasing all fines and the statement about focusing on expensive commercial tickets both cause the Average Revenue per Ticket to rise.
These are the only options that explain how less volume mathematically generates more revenue.

Anahtar Kavram

Resolving a rate-vs-count anomaly by identifying changes to the average value per unit.
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