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The average of temperatures at noontime from Monday to Friday is 50;
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10 Nov 2022, 10:36
10 Nov 2022, 10:36
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The average of temperatures at noontime from Monday to Friday is 50; the lowest one is 45, what is the possible maximum range of the temperatures?
A. 20
B. 25
C. 40
D. 45
E. 75
A. 20
B. 25
C. 40
D. 45
E. 75
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Free Materials for the GRE General Exam - Where to get it!!
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Re: The average of temperatures at noontime from Monday to Friday is 50;
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11 Nov 2022, 11:14
11 Nov 2022, 11:14
1
According to the question stem, we have a data set consisting of the temperatures from Monday through Friday. This amounts to five different values that have a given arithmetic mean of fifty. We are asked to find the maximum possible range for the data set.
First, let's find the sum of the five temperatures:
(Sum of 5 days)/ 5 = 50 ------>(Sum of 5 days) = (50)(5) = 250
Now, in order to maximize the range of the data set, we need to minimize the temperatures of four out of the five days. This, as a result, this will maximize the highest value in the data set from which, 45 degrees will be subtracted from. As the minimum temperature is 45 degrees, four, 45 degree temperatures subtracted from the total gives us:
250 - 4(45) = 250 -180 = 70 degrees
Then to find the range:
70-45 = 25 ----> Answer Choice B
Hope this helps!
First, let's find the sum of the five temperatures:
(Sum of 5 days)/ 5 = 50 ------>(Sum of 5 days) = (50)(5) = 250
Now, in order to maximize the range of the data set, we need to minimize the temperatures of four out of the five days. This, as a result, this will maximize the highest value in the data set from which, 45 degrees will be subtracted from. As the minimum temperature is 45 degrees, four, 45 degree temperatures subtracted from the total gives us:
250 - 4(45) = 250 -180 = 70 degrees
Then to find the range:
70-45 = 25 ----> Answer Choice B
Hope this helps!
gmatclubot
Re: The average of temperatures at noontime from Monday to Friday is 50; [#permalink]
11 Nov 2022, 11:14
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