abhishekmayank
I don't know how to defend the answer choice D :
D) Comparing death rates per thousand members of each group rather than comparing
total number of deathsEven the death numbers mentioned in the stem is not a
Total Number, as option D mentions, but ratios of deaths in different circumstances.
I can see why the wording in choice
D might seem confusing at first! Your observation is actually quite insightful - you're right that the stem presents ratios, not raw totals. Let me clarify the subtle but crucial distinction here.
The Key Misunderstanding:
The statistics in the stimulus 1/19,000 and 1/73000 are indeed ratios, but they're
population-wide ratios, not
group-specific rates. Here's the critical difference:
What the stem actually says:- 1 in 19,000 people in the general population dies as an automobile passenger
- 1 in 73,000 people in the general population dies as a motorcyclist
What we'd need to assess danger:- 1 in X automobile passengers dies
- 1 in Y motorcyclists dies
Why This Matters - A Simple Example:Imagine a population of 1,000,000 people where:
- 900,000 regularly ride in cars
- 20,000 regularly ride motorcycles
Using the stem's statistics:
- Auto deaths: 1,000,000/19,000 = 53 deaths
- Motorcycle deaths: 1,000,00/73,000 = 14 deaths
But the
actual danger per participant:
- Auto: 53/900,000 = 0.006% death rate
- Motorcycle: 14/20,000 = 0.07% death rate
Motorcycling would actually be
12 times more dangerous despite having fewer total deaths!
Understanding Choice D's Wording:When choice
D says "comparing total number of deaths," it's referring to comparing the absolute counts derived from population-wide statistics (like 53 vs 14 in my example). This is essentially what the argument does - it uses population-wide death figures without accounting for participation rates.
What we need instead is "death rates per thousand
members of each group" - meaning per thousand
actual car passengers and per thousand
actual motorcyclists.
Strategic Takeaway:In GMAT Critical Reasoning, watch for
base rate fallacies - arguments that compare raw numbers or population-wide statistics without considering the size of the groups being compared. This is a classic GMAT trap, especially in arguments about risk, safety, or effectiveness.
The phrase "total number of deaths" in choice
D is admittedly imprecise (since the stem uses ratios), but the GMAT often tests whether you can see past minor wording issues to identify the core logical principle. Choice
D correctly identifies that we need group-specific rates, not population-wide statistics.