GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 24Get an Extra 30% Off Target Test Prep Plans
08:00 PM EDT
-11:59 PM EDT
Grab 30% off any Target Test Prep GRE plan during our Flash Sale and join Brian and many other students who have used Target Test Prep to score high on the GRE. Just enter the coupon code FLASH30 at checkout to save big.
The five offensive linemen on a football team weigh 293, 310, 304, 321
[#permalink]
Updated on: 07 Aug 2023, 22:24
Updated on: 07 Aug 2023, 22:24
Expert Reply
00:00
Question Stats:
88% (02:48) correct
11% (01:43) wrong based on 9 sessions
Hide Show timer Statistics
The five offensive linemen on a football team weigh 295, 310, 304, 321, and 298 pounds, respectively. When the heaviest lineman is injured and replaced by a teammate, the average weight of the five linemen drops by 2 pounds. What is the range of the weights of the new group of five linemen?
(A) 10
(B) 15
(C) 16
(D) 24
(E) 26
(A) 10
(B) 15
(C) 16
(D) 24
(E) 26
Re: The five offensive linemen on a football team weigh 293, 310, 304, 321
[#permalink]
24 Jan 2023, 06:17
24 Jan 2023, 06:17
Expert Reply
OE
If the replacement of one player by another lowers the average weight by 2 pounds, you can conclude that the sum of the 5 weights must have dropped by 2 x 5, which equals 10. This is because the average equals the sum divided by the number of terms.
Based on the 10-pound drop in total weight, you can further conclude that the heaviest lineman, who weighed 321 pounds, must have been replaced by a teammate who weighs 311 pounds and is now the heaviest of the group. The range of weights is found by subtracting the weight of the lightest lineman (295 pounds) from 311:
311 - 295 = 16.
If the replacement of one player by another lowers the average weight by 2 pounds, you can conclude that the sum of the 5 weights must have dropped by 2 x 5, which equals 10. This is because the average equals the sum divided by the number of terms.
Based on the 10-pound drop in total weight, you can further conclude that the heaviest lineman, who weighed 321 pounds, must have been replaced by a teammate who weighs 311 pounds and is now the heaviest of the group. The range of weights is found by subtracting the weight of the lightest lineman (295 pounds) from 311:
311 - 295 = 16.
Re: The five offensive linemen on a football team weigh 293, 310, 304, 321
[#permalink]
07 Aug 2023, 19:08
07 Aug 2023, 19:08
1
Carcass wrote:
OE
If the replacement of one player by another lowers the average weight by 2 pounds, you can conclude that the sum of the 5 weights must have dropped by 2 x 5, which equals 10. This is because the average equals the sum divided by the number of terms.Based on the 10-pound drop in total weight, you can further conclude that the heaviest lineman, who weighed 321 pounds, must have been replaced by a teammate who weighs 311 pounds and is now the heaviest of the group. The range of weights is found by subtracting the weight of the lightest lineman (295 pounds) from 311: 311 - 295 = 16.
If the replacement of one player by another lowers the average weight by 2 pounds, you can conclude that the sum of the 5 weights must have dropped by 2 x 5, which equals 10. This is because the average equals the sum divided by the number of terms.Based on the 10-pound drop in total weight, you can further conclude that the heaviest lineman, who weighed 321 pounds, must have been replaced by a teammate who weighs 311 pounds and is now the heaviest of the group. The range of weights is found by subtracting the weight of the lightest lineman (295 pounds) from 311: 311 - 295 = 16.
Dear Sir,
I think there's a typo in the question stem. According to the question stem, the weight of the lightest lineman is 293. Can you please recheck?
