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We can think of this problem as a weighted average problem.

We know that there are more jobs created and that these jobs have higher average pay than jobs in the past. The argument in the advertisement states that the average paycheck in this city must be getting bigger.

We have three groups:

- Eliminated jobs
- Jobs that have remained (neither eliminated nor added recently)
- New jobs (added under Delmont's leadership)

Before looking at the statements, what can we deduce here? If the argument is that the average paycheck must be getting bigger, then the average pay of eliminated jobs can't be higher than the average pay for jobs citywide. D states this is not the case -- strengthening the argument in the advertisement.
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The conclusion of this political ad is that "there can be no question that throughout {Mayor Delmont's} tenure the average paycheck in this city has been getting steadily bigger." Before we look for an answer choice that strengthens the argument, let's make sure we clearly understand the ad's reasoning:


  • We know that some jobs were lost in the city under Delmont's leadership. The ad does not dispute this fact, and the mayor's critics complain about this fact.
  • The ad responds to this criticism by noting that more jobs were created than were eliminated. So there was actually a net INCREASE in the number of jobs while Delmont was mayor.
  • Furthermore, the average pay for those new jobs was HIGHER than the average pay for jobs citywide each year while Delmont was mayor.

Notice that the ad is comparing the average pay of the NEW jobs to the average pay of jobs citywide. The ad is NOT comparing the average pay of the new jobs to the average pay of the jobs that were eliminated. But if we don't know how much we are LOSING (i.e. the average pay of the jobs that were eliminated), how can we be sure that we have a net increase in average pay overall? Sure, the NUMBER of jobs is increasing, but if the new jobs pay less, on average, than the lost jobs, the result would be a net DECREASE in average citywide pay.

The ad concludes that the average paycheck in this city has been getting steadily bigger throughout the mayor's tenure. We need an answer choice that strengthens this argument:

Quote:
(A) The average pay for jobs created in the city during the past three years was higher than the average pay for jobs created in the city earlier in Mayor Delmont's tenure.
We know that the average pay for the new jobs was higher than the average pay for jobs citywide each year since Delmont took office. Choice (A) simply tells us that the average pay for the new jobs created during the past three years was higher than the average pay for the new jobs created earlier in the mayor's tenure. So the average pay for the new jobs went up, but what about the average paycheck citywide? Has that been increasing as well? What if the average pay of the LOST jobs exceeded the average pay of the NEW jobs each year? We still can't determine whether the OVERALL average increased or decreased, so (A) doesn't strengthen (or weaken) the argument.

Quote:
(B) Average pay in the city was at a ten-year low when Mayor Delmont took office.
The average pay was at a ten-year low when Delmont took office, but what happened AFTER he took office? For example, say that Delmont's term began in 2007. Average pay may have steadily DECLINED from 1997 to 2007, so in 2007 average pay would have been at a ten-year low. Did the average pay then increase or did it continue to decrease? Choice (B) doesn't tell us either way, so it doesn't strengthen or weaken the argument. Eliminate (B).

Quote:
(C) Some of the jobs created in the city during Mayor Delmont's tenure have in the meantime been eliminated again.
We already know that there has been a net increase in the NUMBER of jobs since the mayor has taken office. This is true regardless of whether choice (C) is true. Either way, we still don't know whether the average paycheck in the city has increased or decreased because we don't know anything about the average pay of the lost jobs. (C) doesn't impact the argument and can be eliminated.

Quote:
(D) The average pay for jobs eliminated in the city during Mayor Delmont's tenure has been roughly equal every year to the average pay for jobs citywide.
The ad compares the average pay of the NEW jobs to the average pay of jobs citywide. But how does the average pay of the new jobs compare to the average pay of the jobs that were lost? What if the average pay of the jobs lost was HIGHER than the average pay of the new jobs? In that case, there would have been a net DECREASE in average pay citywide, contradicting the conclusion of the ad.

Choice (D) assures us that this is NOT the case. The average pay of the lost jobs was roughly equal to the average pay for jobs citywide. We already know that the average pay of the new jobs was greater than the average pay for jobs citywide. Given statement (D), we now know that the average pay of the new jobs must also have been greater than the average pay of the lost jobs. Choice (D) definitely strengthens the argument.

Quote:
(E) The average pay for jobs in the city is currently higher than it is for jobs in the suburbs surrounding the city.
We only care about what happened to the average paycheck in this city. How the average pay for jobs in the city compares to the average pay for jobs in the surrounding suburbs does not tell us whether the average paycheck in the city has decreased or increased. Choice (E) is not relevant to the argument in this ad and can be eliminated.

Choice (D) is the best answer.
­Isn't A an alternative reason and can be a weakener for the above argument as it states that "average pay rose in the years when Delmont was not in office " . Just curious . D is perfect strengthener but wanted to ask about Impact of A .
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­Isn't A an alternative reason and can be a weakener for the above argument as it states that "average pay rose in the years when Delmont was not in office " . Just curious . D is perfect strengthener but wanted to ask about Impact of A .
­There are two problems with (A).

First, it doesn't give us anything about how the average salary of the eliminated jobs compares to the average salary of the new jobs. If the average salary of the eliminated jobs is $10,000,000 and the average salary of the new jobs is $51,000, it doesn't really matter if the jobs created earlier in the administration had an average of $50,000, right? The overall average could still go down.

Second, what matters is how the average salary of the new jobs compares to the OVERALL average, not to the average of the jobs created earlier. Take the example I just used, where the new jobs average $51,000 and the jobs created earlier averaged $50,000. If the overall average was $100,000, that overall average could still come down.

Fortunately, we already know that the new jobs have a higher average salary than the overall average, so it's not something we need to worry about.

With all of that in mind, we can eliminate (A).

I hope that helps!
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This is the best example of using weighted average in CR
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First, let's knock out C. For one thing, it appears to be trying to weaken. How does it help the mayor's case to say that some of the new jobs are now gone? Besides, this doesn't work as a weaken, either. The argument doesn't rely on which jobs still exist--just the overall data. C could just mean that, for instance, 3 jobs that were created last year have now been replaced with different jobs. This doesn't matter at all. C doesn't tell us that the number of high-paying jobs hasn't gone down. In general, be very cautious about strengthen/weaken answers describing what happens in SOME cases. (In this case, after the first few words, I already knew this answer would be wrong.) These are typically only useful when the author is relying on an assumption of absolute uniformity. (For instance, if I think that every child lives with a mother and a father, then the fact that SOME kids live with a single parent, same-sex parents, uncle, etc., destroys my assumption.)

As for D, your model doesn't quite capture what the argument and D are saying. The author says that each year more jobs are gained than lost. So you need to reflect that the number of jobs keeps going up. It also tells us that the new jobs pay more than average. D patches the one hole here--what if the jobs that are eliminated are very high-paying jobs? If the eliminated jobs paid 10 times the average, then overall pay would go down! But as long as we're adding higher-paying jobs and cutting average jobs, the average pay has to go up. In fact, even in your example, the average went up! It was $100, increased to $133, and STAYED THERE after the cuts. So the average went from $100 to $133. That's an increase!

The other trouble with your model, though, was that you added the new jobs, calculated an average, and then took away jobs at the NEW average. This action is all happening simultaneously, and both the jobs gained and the jobs lost have been described in relation to the current average for the year. So if the average is $100, we need to add jobs over $100 and take away a smaller number of jobs AT $100. If we add 50 jobs at $200, we can take away 40 jobs at $100. In that case, the average will clearly increase.
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I want to put info through a few nos to make it easier
Mayor Delmont's critics complain about the jobs that were lost in the city under Delmont's leadership - 5 jobs lost
Yet the fact is that not only were more jobs created than were eliminated - 6 jobs created even if 5 jobs lost, hence net new jobs created is 1
But the average pay for these new jobs has been higher than the average pay for jobs citywide every year since Delmont took office. - Avg pay for 2000 new jobs lets say $50k > Avg pay for all jobs lets say $30k - every year this equation has hold true
Avg paycheck has steadily increased since he took office - Y0 (when he started tenure) $5k So in Yr 1 - Avg pay for all jobs 10k, Yr 2 - Avg pay for all jobs 20k, Yr 3 - Avg pay for all jobs 30k etc 30k

A key component is realizing what avg pay is made of
Avg salary at start of year is 50k for lets say 20 jobs
NosScenario 1Scenario 2
Jobs Created6$80k $55k
Jobs Eliminated-5$50k $100k
Stable Jobs20$50k$50k



Total jobs at year end = 20+6-5 = 21
Avg pay at end of year = Weighted avg of these jobs

(A) The average pay for jobs created in the city during the past three years was higher than the average pay for jobs created in the city earlier in Mayor Delmont's tenure.
So lets say it is 6 years tenure. So it is saying that the avg pay during the latter tenure for new jobs is greater than avg pay for new jobs created in former part
Y1 - $10k
Y2 - $20k
Y3 - $20k
Y4 - $30k
Y5 - $30k
Y6 - $50k
Isn't it already established that avg pay for new jobs has been more for avg pay of city every year - no new info.

(B) Average pay in the city was at a ten-year low when Mayor Delmont took office.
So we started from a low point - what now?

(C) Some of the jobs created in the city during Mayor Delmont's tenure have in the meantime been eliminated again.
Doesn't matter, net new jobs have been created

(D) The average pay for jobs eliminated in the city during Mayor Delmont's tenure has been roughly equal every year to the average pay for jobs citywide.
This is when the knowledge of avgs matter!
Refer to the table we created and in the two scenarios the avg pay at end of year could look very different than ag at start of year because we got into the mix the eliminated job avgs!
The avg from new jobs > overall avg (Premise is upheld) but over years the avg is steadily coming down than going up! Destroying the conclusions!


(E) The average pay for jobs in the city is currently higher than it is for jobs in the suburbs surrounding the city.­ Irrelevant - all comparisons are city wide
chunjuwu
Political Advertisement: Mayor Delmont's critics complain about the jobs that were lost in the city under Delmont's leadership. Yet the fact is that not only were more jobs created than were eliminated, but the average pay for these new jobs has been higher than the average pay for jobs citywide every year since Delmont took office. So there can be no question that throughout Delmont's tenure the average paycheck in this city has been getting steadily bigger.

Which of the following, if true, most strengthens the argument in the advertisement?

(A) The average pay for jobs created in the city during the past three years was higher than the average pay for jobs created in the city earlier in Mayor Delmont's tenure.

(B) Average pay in the city was at a ten-year low when Mayor Delmont took office.

(C) Some of the jobs created in the city during Mayor Delmont's tenure have in the meantime been eliminated again.

(D) The average pay for jobs eliminated in the city during Mayor Delmont's tenure has been roughly equal every year to the average pay for jobs citywide.

(E) The average pay for jobs in the city is currently higher than it is for jobs in the suburbs surrounding the city.­

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AjiteshArun a simple Q even though a got the argument
"but the average pay for these new jobs has been higher than the average pay for jobs citywide every year since Delmont took office."

I am confused with the two interpretation of these, let me know which it implies
Start of year : 20 jobs = 15 jobs(to be continued in this year) + 5 jobs (to be eliminated by end of this year).
Initial avg of this 20 jobs = X which is weighted avg of 15 jobs avg lets say y and weighted avg of 5 jobs to be eliminated z

End of year: 21 Jobs = 15 jobs(to be continued in this year from last year) + 5 jobs (to be eliminated by end of this year) + 6 new jobs created. Avg of these 21 jobs = A : which is weighted avg of 15 jobs avg lets say y and weighted avg of 6 jobs created S

So is the statement saying that
S> A (Avg at end of year)
or
S>X (Avg at start of year)
or
S>Y (Avg of stable jobs continued from previous year)

Similarly,
"The average pay for jobs eliminated in the city during Mayor Delmont's tenure has been roughly equal every year to the average pay for jobs citywide."
Z=X
or
Z=Y
chunjuwu
Political Advertisement: Mayor Delmont's critics complain about the jobs that were lost in the city under Delmont's leadership. Yet the fact is that not only were more jobs created than were eliminated, but the average pay for these new jobs has been higher than the average pay for jobs citywide every year since Delmont took office. So there can be no question that throughout Delmont's tenure the average paycheck in this city has been getting steadily bigger.

Which of the following, if true, most strengthens the argument in the advertisement?

(A) The average pay for jobs created in the city during the past three years was higher than the average pay for jobs created in the city earlier in Mayor Delmont's tenure.

(B) Average pay in the city was at a ten-year low when Mayor Delmont took office.

(C) Some of the jobs created in the city during Mayor Delmont's tenure have in the meantime been eliminated again.

(D) The average pay for jobs eliminated in the city during Mayor Delmont's tenure has been roughly equal every year to the average pay for jobs citywide.

(E) The average pay for jobs in the city is currently higher than it is for jobs in the suburbs surrounding the city.­

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We can't say for sure at which point the average is getting calculated, nor do we need to know. All we need to know is that when a new job shows up, it tends to pay more than the existing average. For instance, if 20 jobs currently exist at an average pay of $50k, then any time a job is added that pays more than $50k, the average will increase. Notice that it doesn't even matter whether the average is calculated before or after the new job is added. If a new job pays $60k, then the average will now be closer to $50.5k, but either way we can still say that the new job exceeds the average.

Now the only trouble is what's happening when jobs are lost. What if the highest-paying jobs are being lost, and so the average is actually declining? D fixes that by clarifying that the lost jobs aren't really changing the average. If the average stays the same each time a job is lost, but increases when a job is gained, then the overall trend has to be an increase in average pay.
Kavicogsci
AjiteshArun a simple Q even though a got the argument
"but the average pay for these new jobs has been higher than the average pay for jobs citywide every year since Delmont took office."

I am confused with the two interpretation of these, let me know which it implies
Start of year : 20 jobs = 15 jobs(to be continued in this year) + 5 jobs (to be eliminated by end of this year).
Initial avg of this 20 jobs = X which is weighted avg of 15 jobs avg lets say y and weighted avg of 5 jobs to be eliminated z

End of year: 21 Jobs = 15 jobs(to be continued in this year from last year) + 5 jobs (to be eliminated by end of this year) + 6 new jobs created. Avg of these 21 jobs = A : which is weighted avg of 15 jobs avg lets say y and weighted avg of 6 jobs created S

So is the statement saying that
S> A (Avg at end of year)
or
S>X (Avg at start of year)
or
S>Y (Avg of stable jobs continued from previous year)

Similarly,
"The average pay for jobs eliminated in the city during Mayor Delmont's tenure has been roughly equal every year to the average pay for jobs citywide."
Z=X
or
Z=Y
chunjuwu
Political Advertisement: Mayor Delmont's critics complain about the jobs that were lost in the city under Delmont's leadership. Yet the fact is that not only were more jobs created than were eliminated, but the average pay for these new jobs has been higher than the average pay for jobs citywide every year since Delmont took office. So there can be no question that throughout Delmont's tenure the average paycheck in this city has been getting steadily bigger.

Which of the following, if true, most strengthens the argument in the advertisement?

(A) The average pay for jobs created in the city during the past three years was higher than the average pay for jobs created in the city earlier in Mayor Delmont's tenure.

(B) Average pay in the city was at a ten-year low when Mayor Delmont took office.

(C) Some of the jobs created in the city during Mayor Delmont's tenure have in the meantime been eliminated again.

(D) The average pay for jobs eliminated in the city during Mayor Delmont's tenure has been roughly equal every year to the average pay for jobs citywide.

(E) The average pay for jobs in the city is currently higher than it is for jobs in the suburbs surrounding the city.­

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P1: Mayor Delmont's critics complain about the jobs that were lost in the city under Delmont's leadership.
P2: Yet the fact is that not only were more jobs created than were eliminated but the average pay for these new jobs has been higher than the average pay for jobs citywide every year since Delmont took office. So
C: During Delmont's tenure the average paycheck increased in the city

Which of the following, if true, most strengthens the argument in the advertisement?

(A) The average pay for jobs created in the city during the past three years was higher than the average pay for jobs created in the city earlier in Mayor Delmont's tenure.
Comparing the Tenure's later and earlier Pay of jobs created, so no relevance (not weaken, not strengthen)

(B) Average pay in the city was at a ten-year low when Mayor Delmont took office.
(not Relevant)

(C) Some of the jobs created in the city during Mayor Delmont's tenure have in the meantime been eliminated again.
(not relevant, we are not concern about what will happen in future)

(D) The average pay for jobs eliminated in the city during Mayor Delmont's tenure has been roughly equal every year to the average pay for jobs citywide.
(so yes as given in the argument, new jobs have the average pay greater than job in the citywide and eliminated jobs have the average pay equals to the citywide and total jobs have increased also, so yes we can say that average pay for the job increase in his tenure)

(E) The average pay for jobs in the city is currently higher than it is for jobs in the suburbs surrounding the city.­
(not Relevent)
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If you picked A, B, or C on this question, you're not alone - but your error analysis and log should have very different notes for each wrong answer.

We go through the specific diagnosis for each wrong answer in this video solution because this question is really testing TWO skills: CR logic AND the concept of Averages!
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