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Each city listed in the state of HI has more than the median number of buildings over 100 meters in the given table.: Supported
If a city doesn’t have more than 75 buildings exceeding 100 meters in height, it will not be classified as a High-Rise City.: Not Supported
Among buildings over 100 meters, the probability of also exceeding 150 meters is lowest for city E.: Not Supported
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
70% (02:46) correct
30%
(02:42)
wrong
based on 336
sessions
History
Date
Time
Result
Not Attempted Yet
The table presents data on building heights in certain U.S. locations, showing the number of buildings exceeding 100 meters and 150 meters.
For each of the following statements, select Supported if it is supported by the information in the table. Otherwise select Not supported.
| City | State | Height more than 150m | Height more than 100m | High rise city |
|---|---|---|---|---|
| A | CA | 19 | 35 | No |
| B | OR | 57 | 70 | No |
| C | CA | 14 | 30 | No |
| D | HI | 61 | 75 | Yes |
| E | HI | 72 | 85 | Yes |
| F | HI | 24 | 40 | No |
| G | HI | 60 | 75 | Yes |
| H | WA | 47 | 60 | No |
| I | OR | 18 | 30 | No |
| J | WA | 14 | 30 | No |
| K | CA | 5 | 25 | No |
| L | CA | 14 | 30 | No |
| M | OR | 40 | 55 | No |
| N | WA | 20 | 35 | No |
For each of the following statements, select Supported if it is supported by the information in the table. Otherwise select Not supported.
| Supported | Not Supported | |
| Each city listed in the state of HI has more than the median number of buildings over 100 meters in the given table. | ||
| If a city doesn’t have more than 75 buildings exceeding 100 meters in height, it will not be classified as a High-Rise City. | ||
| Among buildings over 100 meters, the probability of also exceeding 150 meters is lowest for city E. |
ShowHide Answer
Official Answer
Each city listed in the state of HI has more than the median number of buildings over 100 meters in the given table.: Supported
If a city doesn’t have more than 75 buildings exceeding 100 meters in height, it will not be classified as a High-Rise City.: Not Supported
Among buildings over 100 meters, the probability of also exceeding 150 meters is lowest for city E.: Not Supported
Bunuel
Official Solution:
Statement 1:
There are four cities in HI, and their number of buildings over 100m is as follows:
• D: 75
• E: 85
• F: 40
• G: 75
There are 14 cities in total. To find the median, sort the number of buildings over 100m in ascending order:
25, 30, 30, 30, 30, 35, 35, 40, 55, 60, 70, 75, 75, 85
The median is the average of the 7th and 8th values: (35 + 40)/2 = 37.5.
So, all cities in HI have more than the median number of buildings over 100 meters. Thus, the first statement is Supported.
Statement 2:
Looking at the "High-Rise City" column, the cities classified as High-Rise Cities are D, E, and G. Their number of buildings over 100m are:
• D: 75
• E: 85
• G: 75
Since D and G have exactly 75 buildings (not more than 75), the statement is Not Supported.
Statement 3:
To find the probability, calculate the ratio of buildings >150m to buildings >100m for each city:
• E: 72/85 ≈ 85%
• Compare this to other cities (e.g., K: 5/25 = 20%, which is lower).
Since city E does not have the lowest probability, the statement is Not Supported.
Correct answer:
Each city listed in the state of HI has more than the median number of buildings over 100 meters in the given table. "Supported"
One of the criteria for a city to be classified as a High-Rise City is having more than 75 buildings exceeding 100 meters in height. "Not Supported"
Among buildings over 100 meters, the probability of also exceeding 150 meters is lowest for city E. "Not Supported"
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General Discussion
30 Jan 2025, 21:53
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1. The question asks us to check whether the following statements are supported by the table or not.
2. Each city listed in the state of HI has more than the median number of buildings over 100 meters in the given table. The median number of buildings over 100 meters is \(\frac{35 + 40}{2} = 37.5\). The four buildings in the state of HI have the following numbers: 40, 75, 75, and 85. Each is larger than the median. So, this statement is supported.
3. One of the criteria for a city to be classified as a High-Rise City is having more than 75 buildings exceeding 100 meters in height. City G is classified as a High-Rise City, however it has exactly 75 buildings that exceed 100 meters. So, this statement isn't supported.
4. Among buildings over 100 meters, the probability of also exceeding 150 meters is lowest for city E. We're looking at the highest ratio between the exceeding 100 meters and exceeding 150 meters numbers. City K has a 5 time difference, which no other has close to. So, this statement isn't supported.
2. Each city listed in the state of HI has more than the median number of buildings over 100 meters in the given table. The median number of buildings over 100 meters is \(\frac{35 + 40}{2} = 37.5\). The four buildings in the state of HI have the following numbers: 40, 75, 75, and 85. Each is larger than the median. So, this statement is supported.
3. One of the criteria for a city to be classified as a High-Rise City is having more than 75 buildings exceeding 100 meters in height. City G is classified as a High-Rise City, however it has exactly 75 buildings that exceed 100 meters. So, this statement isn't supported.
4. Among buildings over 100 meters, the probability of also exceeding 150 meters is lowest for city E. We're looking at the highest ratio between the exceeding 100 meters and exceeding 150 meters numbers. City K has a 5 time difference, which no other has close to. So, this statement isn't supported.
