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The table shows various physical characteristics of the Great Lakes of North America. Lake Depth (feet) Volume (cubic miles) Surface...

GMAT Table Analysis : (TA) Questions

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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.

A
Yes
No

The depth of Lake Ontario is the median depth of the 5 lakes.

B
Yes
No

The lake whose depth is greatest also has the shoreline of greatest length.

C
Yes
No

The volume of Lake Superior is greater than that of the other 4 lakes combined.

Solution

OWNING THE DATASET

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:

  • We have 5 lakes (Superior, Michigan, Huron, Erie, Ontario) with 4 different measurements for each
  • There appears to be significant variation in the metrics across lakes
  • Superior shows exceptionally high values for several metrics (potential outlier)
  • The question will involve comparing values across lakes or finding statistical measures

This clean, organized dataset is perfect for sorting - which will be our primary strategy rather than manual calculations.

ANALYZING STATEMENTS

Statement 1: Ontario's depth is the median depth.

Statement 1 Translation:
Original: "Ontario's depth is the median depth."
What we're looking for:

  • Find Ontario's depth
  • Determine if this value is the median (middle value) of all five depths

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: The lake with the greatest depth has the longest shoreline.

Statement 2 Translation:
Original: "The lake with the greatest depth has the longest shoreline."
What we're looking for:

  • Identify which lake has the greatest depth
  • Identify which lake has the longest shoreline
  • Determine if these are the same lake

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:

  • Lake with greatest depth: Superior (1,330 feet)
  • Lake with longest shoreline: Michigan (1,400 miles)

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: Superior's volume exceeds the combined volume of the other four lakes.

Statement 3 Translation:
Original: "Superior's volume exceeds the combined volume of the other four lakes."
What we're looking for:

  • Find Superior's volume
  • Calculate the sum of volumes for the other four lakes
  • Compare Superior's volume to this sum

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:

  • Michigan (1,180) + Huron (850) ≈ 2,030
  • Ontario (393) + Erie (116) ≈ 510
  • 2,030 + 510 ≈ 2,540 < 2,900

When differences are substantial, rough estimates are often sufficient!

FINAL ANSWER COMPILATION

Reviewing our findings:

  • Statement 1: Ontario's depth is the median depth. Yes
  • Statement 2: The lake with the greatest depth has the longest shoreline. No
  • Statement 3: Superior's volume exceeds the combined volume of the other four lakes. Yes

Our answer is: A (Yes, No, Yes)

LEARNING SUMMARY

Skills We Used

  • Strategic Sorting: We sorted the data by different columns to instantly reveal patterns and extremes
  • Visual Pattern Recognition: After sorting, we could quickly identify medians, maximums, and make comparisons
  • Efficient Approximation: For Statement 3, we could have used rounded numbers for a faster comparison

Strategic Insights

  1. Sort FIRST, calculate LAST: Sorting immediately organizes the data and often eliminates the need for calculation
  2. Reuse previous insights: We used information from our first sort (depth) to help answer Statement 2
  3. Know when precision matters: For Statement 3, the difference was large enough that approximation would work

Common Mistakes We Avoided

  1. Manual scanning for medians: We didn't try to eyeball the middle value; we sorted first
  2. Recalculating maximums: Once we identified Superior as deepest, we didn't waste time rechecking
  3. Over-precision: We didn't get bogged down in exact decimal calculations when comparing vastly different values

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!

Answer Choices Explained
A
Yes
No

The depth of Lake Ontario is the median depth of the 5 lakes.

B
Yes
No

The lake whose depth is greatest also has the shoreline of greatest length.

C
Yes
No

The volume of Lake Superior is greater than that of the other 4 lakes combined.

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