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# A car testing company tests its cars for the durability of

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18 Feb 2006, 15:14
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

A car testing company tests its cars for the durability of its tires. The company tested a certain number of tires for the length of their durability. Is the median time greater than the mean time?

I. More than 25% of the tires lasted longer than 4000 hours

II. Less than 50% of the tires lasted longer than 1000 hours
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20 Feb 2006, 00:29
I would say E.

Let's assume that the company tested 3 tires.
If we have 2 tires that lasted 5000 hours et 1 that lasted 4000 hours. Median is 5000 and mean is 4666 hours.
If we have 1 tire that lasted 5000 hours et 2 that lasted 4000 hours. Median is 4000 and mean 4333 hours.

Am I missing something here ?
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20 Feb 2006, 00:53
I would also say E just because the statements say more than that or less than that, so no exact value could be determined....
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20 Feb 2006, 06:12
Hi,

Is the answer C? Answer Choice C applies for all n > 2.
For n <= 2, the question stem does not make sense because 50% of 2 is 1 and less than 50% of the tires (here 2) last more than 1000 hours.

So, I think the answer should be C.
Can you please give the OA?

THanks.
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20 Feb 2006, 06:25
I would say C if the 2 hypothesis were:
I. More than 25% of the tires lasted longer than 4000 hours
II. More than 50% of the tires lasted longer than 1000 hours

In this case for 1+2) we would have:
Median < 1000 since at least 50% of tires < 1000
and Mean > 1000 since at least 25% of tires >4000

so Median < Mean
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20 Feb 2006, 06:37
petefromi,

if more than 50% of the tires lasted more than 1000 hours, median > 1000 and not < 1000.
Your explanation is fits exactly if the question is as it is.
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20 Feb 2006, 06:49
Sirisha: you're right I misread the question.

C it is.
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20 Feb 2006, 15:37
oa is E

I dont understand what you guys think is wrong with the question

Here is my reasoning

suppose there are 4 tires, a,b,c,d

1, b, 4001,4001

b can be anywhere from 1000 to 4000

here, the mean has to be more than 1000

the median has to be more than 1000

but there is no relation.
20 Feb 2006, 15:37
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