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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
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Official Explanation


The least possible value for the mean of the numbers of hours of exercise reported for the week is.

Explanation

The least possible mean corresponds to the case where each individual reported the minimum amount of time for their category (i.e., 5 people exercised 0 hours, 3 people exercised 1 hour, and so on). The mean in this case would be

\(\frac{5(0)+3(1)+2(2)+4(3)+4(4)+5(5)+1(8)+1(10)}{5+3+2+4+4+5+1+1}=\frac{78}{25}=3.12\)

The correct answer is 3.12.


The number of respondents who exercised on average less than one-half hour per day during the week is between________, inclusive.

Explanation

A respondent who averaged less than one-half hour of exercise per day would have reported less than 3.5 hours of exercise for the week. There were 10 respondents who reported exercising less than 3 hours per week: those respondents necessarily averaged less than one-half hour of exercise per day. There were 11 respondents who reported exercising more than 4 hours for the week: those respondents necessarily averaged more than one-half hour of exercise per day. There were 4 respondents who reported exercising at least 3 hours but no more than 4 hours for the week. It is possible that all 4 of these respondents reported more than 3.5 hours of exercise, in which case only 10 respondents would have averaged less than one-half hour of exercise per day. It is also possible, however, that 1 or more of these 4 respondents reported fewer than 3.5 hours, in which case, up to 14 respondents would have averaged less than one-half hour of exercise per day.

The correct answer is 10 and 14.
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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
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I don't understand the second question. Does "one-half hour per day" means 1.5 hour per day?
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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
astinashler wrote:
I don't understand the second question. Does "one-half hour per day" means 1.5 hour per day?

No, one-half =1/2
This means 1/2 hour per day which corresponds to 3.5 hour per week.
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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
Catman wrote:
astinashler wrote:
I don't understand the second question. Does "one-half hour per day" means 1.5 hour per day?

No, one-half =1/2
This means 1/2 hour per day which corresponds to 3.5 hour per week.


why not just say half then? such an annoying way of wording a question. smh
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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
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Sid7210 wrote:
Catman wrote:
astinashler wrote:
I don't understand the second question. Does "one-half hour per day" means 1.5 hour per day?

No, one-half =1/2
This means 1/2 hour per day which corresponds to 3.5 hour per week.


why not just say half then? such an annoying way of wording a question. smh



one-half is a valid word for 0.5, even if it is not soothing to the ear.
If one has to write 1.5, it is one and a half.
One-half of the population or one-half of the pizza.

It is also used in official questions, so we should get used to it.
one-half the previous term
https://gmatclub.com/forum/in-a-certain ... l#p1690040
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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
Why the least possible average is not 3?
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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
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Lizshadehdg wrote:
Why the least possible average is not 3?



Least possible average is the least sum divided by the total number.
Hence 78/25 or 3.12

Why do you think it should be 3?
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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
There is a whole lot of mistakes in this question. "studying" should be replaced by "exercising". Only then will this question makes sense.­
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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
This question showed up on my "Easy" practice section on the online GMAT official practice question portal :D .
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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
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Yes2GMAT wrote:
This question showed up on my "Easy" practice section on the online GMAT official practice question portal :D .

­Can you please post a screenshot of the question? That would help a lot. Thank you!
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Re: Twenty-five adults reported the amount of time each spent studying [#permalink]
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