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02 Dec 2024, 09:35
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There is a strong positive correlation between Domestic Commuter Flights and Total Domestic Flights.: Yes
The median of total domestic flights is less than twice the median of total international flights.: Yes
The range of non-revenue flights is greater than the range of charter flights.: No
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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63% (02:44) correct
37%
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wrong
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The table below summarizes information in several categories about the different flights at a major international airport.
For each of the following statements, select True if the statement can be verified as true based on the information provided. Otherwise, select False.
| Year | Destination | Charter | Cargo | Commuter | Non-Revenue | Total |
|---|---|---|---|---|---|---|
| 2005 | Domestic | 204 | 8,193 | 59,973 | 1,728 | 230,242 |
| 2005 | International | 1,266 | 14,380 | 5,209 | 1,324 | 119,706 |
| 2006 | Domestic | 217 | 7,419 | 64,971 | 1,180 | 250,413 |
| 2006 | International | 1,023 | 13,417 | 5,814 | 1,269 | 128,014 |
| 2007 | Domestic | 215 | 7,586 | 91,600 | 1,297 | 302,958 |
| 2007 | International | 1,823 | 13,311 | 6,231 | 1,198 | 140,796 |
| 2008 | Domestic | 50 | 6,820 | 83,428 | 1,605 | 288,025 |
| 2008 | International | 488 | 10,926 | 7,964 | 1,203 | 150,366 |
| 2009 | Domestic | 30 | 5,723 | 81,302 | 1,398 | 272,804 |
| 2009 | International | 171 | 7,839 | 7,503 | 525 | 142,482 |
| 2010 | Domestic | 39 | 5,942 | 68,726 | 1,184 | 252,445 |
| 2010 | International | 188 | 9,387 | 7,714 | 526 | 144,525 |
For each of the following statements, select True if the statement can be verified as true based on the information provided. Otherwise, select False.
| Yes | No | |
| There is a strong positive correlation between Domestic Commuter Flights and Total Domestic Flights. | ||
| The median of total domestic flights is less than twice the median of total international flights. | ||
| The range of non-revenue flights is greater than the range of charter flights. |
ShowHide Answer
Official Answer
There is a strong positive correlation between Domestic Commuter Flights and Total Domestic Flights.: Yes
The median of total domestic flights is less than twice the median of total international flights.: Yes
The range of non-revenue flights is greater than the range of charter flights.: No
04 Jan 2025, 08:30
Kudos
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Bunuel
Official Solution:
Statement 1:
Two data sets are positively correlated if they both tend to be higher in the same cases. They are negatively correlated if one tends to be higher in cases where the other is lower. For positively correlated data, their lines tend to slope up or down together; the more consistently this happens, the stronger the positive correlation. Conversely, when two data sets are negatively correlated, the line for one tends to slope up while the other slopes down, and vice versa. The more consistently these opposite slopes occur, the stronger the negative correlation.
Sorting the table by Domestic Commuter Flights and Total Domestic Flights reveals a consistent increase in both metrics each year. This indicates a strong positive correlation between Domestic Commuter Flights and Total Domestic Flights.
Statement 2:
By examining Total Domestic Flights, we find that its median is approximately 260,000 flights (calculated as the average of the 3rd and 4th highest figures for Total Domestic Flights). Similarly, the median of Total International Flights is approximately 140,000 flights (calculated as the average of the 3rd and 4th highest figures for Total International Flights). As shown, the median of Total Domestic Flights (260,000) is less than twice the median of Total International Flights (140,000).
Statement 3:
Sorting by Non-Revenue Flights, we can calculate the range as 1,728 - 525 = 1,203. Similarly, sorting by Charter Flights, the range is 1,823 - 30 = 1,793. Therefore, this statement is false.
Correct answer:
There is a strong positive correlation between Domestic Commuter Flights and Total Domestic Flights. "Yes"
The median of total domestic flights is less than twice the median of total international flights. "Yes"
The range of non-revenue flights is greater than the range of charter flights. "No"
General Discussion
05 Dec 2024, 09:42
Kudos
Bookmarks
1. The questions asks us to determine whether the following statements are true or false based on the information given.
2. There is a strong positive correlation between Domestic Commuter Flights and Total Domestic Flights. If we arrange the domestic commuter flights in increasing order - 59973, 64971, 68726, 81302, 83428, 91600 - then the associated total domestic flights will also increase - 230242, 250413, 252445, 272804, 288025, 302958. So, this statement is true.
3. The median of total domestic flights is less than twice the median of total international flights. The median of total domestic flights is equal to \(\frac{140796 + 142482}{2} = 141639\) and the median of total international flights is equal to \(\frac{252445 + 272804}{2} = 262624.5\). \(2 * 141639 = 283278 > 262624.5\). So, this statement is true.
4. The range of non-revenue flights is greater than the range of charter flights. The range of non-revenue flights is equal to \(1728 - 525 = 1203\) and the range of charter flights is equal to \(1823 - 30 = 1793\). \(1203 < 1793\). So, this statement is false.
2. There is a strong positive correlation between Domestic Commuter Flights and Total Domestic Flights. If we arrange the domestic commuter flights in increasing order - 59973, 64971, 68726, 81302, 83428, 91600 - then the associated total domestic flights will also increase - 230242, 250413, 252445, 272804, 288025, 302958. So, this statement is true.
3. The median of total domestic flights is less than twice the median of total international flights. The median of total domestic flights is equal to \(\frac{140796 + 142482}{2} = 141639\) and the median of total international flights is equal to \(\frac{252445 + 272804}{2} = 262624.5\). \(2 * 141639 = 283278 > 262624.5\). So, this statement is true.
4. The range of non-revenue flights is greater than the range of charter flights. The range of non-revenue flights is equal to \(1728 - 525 = 1203\) and the range of charter flights is equal to \(1823 - 30 = 1793\). \(1203 < 1793\). So, this statement is false.
