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The average (arithmetic mean) of ten test scores is 120, and
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27 Jul 2020, 08:55
27 Jul 2020, 08:55
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The average (arithmetic mean) of ten test scores is 120, and the average of 20 additional test scores is 90.
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The weighted average of these scores |
105 |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Re: The average (arithmetic mean) of ten test scores is 120, and
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27 Jul 2020, 08:55
27 Jul 2020, 08:55
Expert Reply
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Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
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Re: The average (arithmetic mean) of ten test scores is 120, and
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27 Jul 2020, 11:29
27 Jul 2020, 11:29
Intuitively, the idea is to notice that 105 is right between 120 and 90, and that would be if there were an equal number of scores that also got 90. But this is not the case here, as there are more of the smaller number, and hence the average is less than 105.
Formally, the average would be ((120*10) + (90*20))/30 = (1200 + 1800)/30 = 100 < 105 -> answer is B.
Formally, the average would be ((120*10) + (90*20))/30 = (1200 + 1800)/30 = 100 < 105 -> answer is B.
