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The average (arithmetic mean) high temperature for x days i
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22 May 2017, 01:40
22 May 2017, 01:40
5
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Question Stats:
82% (01:06) correct
17% (01:40) wrong based on 257 sessions
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The average (arithmetic mean) high temperature for x days is 70 degrees. The addition of one day with a high temperature of 75 degrees increases the average to 71 degrees.
Quantity A |
Quantity B |
x |
5 |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: The average (arithmetic mean) high temperature for x days i
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10 Oct 2017, 07:51
10 Oct 2017, 07:51
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Reversing the formula for the mean it is easy to see that if the mean of temperatures in x days is 70, the sum of these temperatures is 70x.
Then, statement two can be rewritten in formula as \(\frac{70x+75}{x+1} = 71\), from which we can get that \(x = 4\).
Since 4 < 5, quantity B is larger!
Then, statement two can be rewritten in formula as \(\frac{70x+75}{x+1} = 71\), from which we can get that \(x = 4\).
Since 4 < 5, quantity B is larger!
General Discussion
Re: The average (arithmetic mean) high temperature for x days i
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29 Sep 2018, 11:36
29 Sep 2018, 11:36
1
Answer is B
