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The histogram above shows the distribution of the weights, i
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03 Nov 2020, 11:32
03 Nov 2020, 11:32
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GRE The median weight of the 18 cats represented in the histogram.jpg [ 37.19 KiB | Viewed 5238 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
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06 Nov 2020, 04:42
06 Nov 2020, 04:42
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CAN SOME ONE EXPLAIN WHY THE ANSWER IS D? MY ANSWER IS C
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Re: The histogram above shows the distribution of the weights, i
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07 Nov 2020, 06:55
07 Nov 2020, 06:55
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Carcass wrote:
Attachment:
GRE The median weight of the 18 cats represented in the histogram.jpg
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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
