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The average (arithmetic mean) of the integers from 100 to 200, inclusi
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16 Sep 2021, 22:27
16 Sep 2021, 22:27
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The average (arithmetic mean) of the integers from 100 to 200, inclusive, is how much greater than the average of the integers from 20 to 100, inclusive?
(A) 50
(B) 60
(C) 90
(D) 100
(E) 150
(A) 50
(B) 60
(C) 90
(D) 100
(E) 150
The average (arithmetic mean) of the integers from 100 to 200, inclusi
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17 Sep 2021, 00:22
17 Sep 2021, 00:22
1
(They are consecutive numbers as we know that in Consecutive numbers the median is the average)
For average (arithmetic mean) of the integers from 100 to 200, inclusive:
No.of integers present are 200-100+1=101 thus median is 51st number starting from 100,101,.......200 that is 150 as we know (median=average) so average is 150
For average of the integers from 20 to 100, inclusive:
No.of integers present are 100-20+1=81 thus median is the 41st number starting from 20,21,22......100 that is 60 as we know (median=average) so average is 60
thus A is 150-60=90 thus option(C)
For average (arithmetic mean) of the integers from 100 to 200, inclusive:
No.of integers present are 200-100+1=101 thus median is 51st number starting from 100,101,.......200 that is 150 as we know (median=average) so average is 150
For average of the integers from 20 to 100, inclusive:
No.of integers present are 100-20+1=81 thus median is the 41st number starting from 20,21,22......100 that is 60 as we know (median=average) so average is 60
thus A is 150-60=90 thus option(C)
gmatclubot
The average (arithmetic mean) of the integers from 100 to 200, inclusi [#permalink]
17 Sep 2021, 00:22
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