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.
The histogram above shows the distribution of the weights, i
[#permalink]
03 Nov 2020, 11:32
03 Nov 2020, 11:32
Expert Reply
5
Bookmarks
00:00
Question Stats:
50% (01:15) correct
49% (01:38) wrong based on 59 sessions
Hide Show timer Statistics
Attachment:
GRE The median weight of the 18 cats represented in the histogram.jpg [ 37.19 KiB | Viewed 5159 times ]
The histogram above shows the distribution of the weights, in pounds, of 18 cats in a shelter.
Quantity A |
Quantity B |
The median weight of the 18 cats represented in the histogram |
14 pounds |
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.
Source: 320 GRE Math Questions
Re: The histogram above shows the distribution of the weights, i
[#permalink]
06 Nov 2020, 04:42
06 Nov 2020, 04:42
2
Bookmarks
CAN SOME ONE EXPLAIN WHY THE ANSWER IS D? MY ANSWER IS C
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The histogram above shows the distribution of the weights, i
[#permalink]
07 Nov 2020, 06:55
07 Nov 2020, 06:55
1
Carcass wrote:
Attachment:
GRE The median weight of the 18 cats represented in the histogram.jpg
[img]undefined[/img]
The histogram above shows the distribution of the weights, in pounds, of 18 cats in a shelter.
Quantity A |
Quantity B |
The median weight of the 18 cats represented in the histogram |
14 pounds |
The answer is D, because the x-axis measurements are RANGES of values.
For example the left-most bar tells us that there are 3 cats with weights in the 6 to 8 pound range. So, for example, it COULD be the case that all 3 cats weigh 6 pounds, or all 3 cats weigh 8 pounds, or all 3 cats weigh 7 pounds, or the three cats weigh 6.1, 6.9 and 7.5 pounds. And so on.
For example, it could be the case that the 18 weights (listed in ascending order) are as follows: {6,6,6,10,10,13,13,13,13,15,15,15,15,15,15,15,15,17}
In this case, the median equals the average of the two middlemost numbers: (13 + 15)/2 = 14
Here, the two quantities are equal
It also could be the case that the 18 weights (listed in ascending order) are as follows: {6,6,6,10,10,13,13,13,13.5,15.5,15,15,15,15,15,15,15,17}
In this case, the median equals the average of the two middlemost numbers: (13.5+ 15.5)/2 = 14.5
Here, Quantity A is greater
Answer: D
Cheers,
Brent
