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In a group of 50 numbers, average of the first 25 numbers is 16, that
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24 Sep 2024, 23:54
24 Sep 2024, 23:54
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In a group of 50 numbers, average of the first 25 numbers is 16, that of next 10 numbers is 15 and that of the remaining is 20. What is the average of the entire group of numbers?
A. 14
B. 15
C. 16
D. 17
E. 18
A. 14
B. 15
C. 16
D. 17
E. 18
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Re: In a group of 50 numbers, average of the first 25 numbers is 16, that
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25 Sep 2024, 12:22
25 Sep 2024, 12:22
1
Since the average of the first 25 numbers is 16, the sum of those numbers is 25*16 = 400
Since the average of the next 10 numbers is 15, the sum of those numbers is 10*15 = 150
This leaves 50-(25+10) = 15 numbers, which averages 20. The sum of those numbers is 15*20 = 300
The sum of all 50 numbers is 400+150+300 = 850
The average of the entire group is 850 / 50 = 17
Since the average of the next 10 numbers is 15, the sum of those numbers is 10*15 = 150
This leaves 50-(25+10) = 15 numbers, which averages 20. The sum of those numbers is 15*20 = 300
The sum of all 50 numbers is 400+150+300 = 850
The average of the entire group is 850 / 50 = 17
gmatclubot
Re: In a group of 50 numbers, average of the first 25 numbers is 16, that [#permalink]
25 Sep 2024, 12:22
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