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# About the testing lasting time of some light bulbs, is

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Manager
Joined: 04 Sep 2006
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24 May 2009, 09:09
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About the testing lasting time of some light bulbs, is median greater than mean?
1). More than 25% of them last longer than 4000 hours
2). Less than 50% of them last under 1000 hours

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Intern
Joined: 19 May 2009
Posts: 5

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24 May 2009, 10:27
I don´t understand the wording of the problem:

Quote:
1). More than 25% of them last longer than 4000 hours
2). Less than 50% of them last under 1000 hours

What does it mean more than 25% ? 30%, 99%? 100%?
What does it mean less than 50% , 10%, 0%? Taking literally the answer is obviously E. But then the problem would be very dull, uninteresting.

I guess the correct wording is:

1). 25% of them last longer than 4000 hours
2). 50% of them last under 1000 hours

From 2, one concludes that the median is less or equal than 1000 . (it could be any number, but less or equal than 1000)
From 1 one concludes that the mean is larger than 1000. (since for a grouped sample mean is = sum(frequency*value group) and for the longer duration group we have frequency=0.25 and value>4000 )

So median is not larger than mean : Answer C.

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Manager
Joined: 10 Aug 2008
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28 May 2009, 11:21
If Rely on the wording if Question, than Ans is E !

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Manager
Joined: 04 Sep 2006
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29 May 2009, 09:24
the wording is correct

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Re: defective bulbs   [#permalink] 29 May 2009, 09:24
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