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The table shows various physical characteristics of the Great Lakes of North America.
| Lake | Depth (feet) | Volume (cubic miles) | Surface area (square miles) | Length of shoreline (miles) |
|---|---|---|---|---|
| Erie | 210 | 116 | 9910 | 431 |
| Huron | 750 | 850 | 23000 | 580 |
| Michigan | 923 | 1180 | 22300 | 1400 |
| Ontario | 802 | 393 | 7550 | 300 |
| Superior | 1330 | 2900 | 31700 | 863 |
For each of the following statements, select Yes if the statement is true based solely on the information in the table; otherwise select No.
The depth of Lake Ontario is the median depth of the 5 lakes.
The lake whose depth is greatest also has the shoreline of greatest length.
The volume of Lake Superior is greater than that of the other 4 lakes combined.
We're looking at a table showing data for the five Great Lakes with measurements for depth, volume, area, and shoreline. Let's quickly understand the structure and key insights:
| Lake | Depth (feet) | Volume (cubic miles) | Area (square miles) | Shoreline (miles) |
|---|---|---|---|---|
| Superior | 1,330 | 2,900 | 31,700 | 1,200 |
Key insights:
This clean, organized dataset is perfect for sorting - which will be our primary strategy rather than manual calculations.
Statement 1 Translation:
Original: "Ontario's depth is the median depth."
What we're looking for:
In other words: Is Ontario's depth exactly in the middle when all five lake depths are arranged in order?
Let's approach this systematically using sorting:
1. Sort the data by depth (ascending or descending order):
| Lake | Depth (feet) |
|---|---|
| Erie | 210 |
| Huron | 750 |
| Ontario | 802 |
| Michigan | 923 |
| Superior | 1,330 |
2. Find the median depth:
With 5 lakes, the median is the 3rd value when sorted = 802 feet.
3. Check if this belongs to Ontario:
We can see that 802 feet belongs to Ontario.
Therefore, Statement 1 is Yes. Ontario's depth is indeed the median depth of all five Great Lakes.
Teaching note: Notice how sorting instantly revealed the median without any calculations. With an odd number of items (5 lakes), the median is always the middle position (3rd) when sorted.
Statement 2 Translation:
Original: "The lake with the greatest depth has the longest shoreline."
What we're looking for:
In other words: Does the deepest lake also have the longest shoreline?
Let's leverage our previous sorting and extend our analysis:
1. From our depth sorting, we already know:
Superior has the greatest depth at 1,330 feet.
2. Now let's sort by shoreline:
| Lake | Shoreline (miles) |
|---|---|
| Ontario | 726 |
| Erie | 871 |
| Huron | 1,143 |
| Superior | 1,200 |
| Michigan | 1,400 |
3. Compare results:
These are different lakes, so Statement 2 is No.
Teaching note: Sorting revealed this answer almost instantly. We didn't need to review all values manually or remember the exact numbers - we just needed to identify which lakes had the maximum values for each metric.
Statement 3 Translation:
Original: "Superior's volume exceeds the combined volume of the other four lakes."
What we're looking for:
In other words: Is Superior's volume greater than Michigan + Huron + Erie + Ontario volumes added together?
Let's sort by volume to get a clear picture:
1. Sort the data by volume:
| Lake | Volume (cubic miles) |
|---|---|
| Erie | 116 |
| Ontario | 393 |
| Huron | 850 |
| Michigan | 1,180 |
| Superior | 2,900 |
2. Find Superior's volume:
Superior's volume = 2,900 cubic miles
3. Find the sum of other lakes' volumes:
Michigan + Huron + Ontario + Erie = \(1,180 + 850 + 393 + 116 = 2,539\) cubic miles
4. Compare:
Superior's volume \(2,900 > 2,539\) Combined volume of others
Therefore, Statement 3 is Yes.
Teaching note: While we did need to add the volumes, we could've used strategic approximation to save time:
When differences are substantial, rough estimates are often sufficient!
Reviewing our findings:
Our answer is: A (Yes, No, Yes)
Remember: In GMAT table analysis questions, your first action should almost always be to consider sorting the data. This one action often transforms what seems like a complex calculation problem into a simple visual observation task!
The depth of Lake Ontario is the median depth of the 5 lakes.
The lake whose depth is greatest also has the shoreline of greatest length.
The volume of Lake Superior is greater than that of the other 4 lakes combined.