# Integrated Reasoning: Table Analysis Example Problem #3

Starting June 5, 2012, the GMAT contains a new section called Integrated Reasoning.  This 30-minute section has 12 questions of four different types: two-part analysis, multi-source reasoning, table analysis, and graphics interpretation.  Below is a sample problem and solution from the TestMasters Integrated Reasoning question bank.  Check back soon for more sample problems and solutions!

### PROBLEM:

The table shows various physical characteristics of the 5 lakes in fictional country Westeros

 Lake Depth (meters) Volume (cubic kilometers) Surface area (square kilometers) Length of shoreline (kilometers) Daenerys 210 116 9,910 431 Tyrion 750 850 23,000 580 Drogo 923 1,180 22,300 1,400 Khal 802 393 7,550 300 Lannister 1,330 2,900 31,700 86

For each of the following statements, select Yes if the statement is true based solely on the information in the table; otherwise select No.

 Yes No The depth of Lake Khal 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 Lannister is greater than that of the other 4 lakes combined.

### SOLUTION:

Question type!  Table Analysis

Your first step when evaluating a table analysis problem should be to take a couple seconds to examine the data.  Pay attention to any titles or information about the table, as well as the column headings.  Once you understand the information that the table is presenting, take a look at your questions.

Tip! This problem is actually three separate questions combined.  Tackle this problem by answering one question at a time.

Question 1:  The depth of Lake Khal is the median depth of the 5 lakes.

First, you need to know what the term “median” means.  The median is the number in the middle of a list of numbers in numerical order.  In this case, we need to find the median depth, so our first step is to arrange the table by depth.

Tip!  All the tables in Table Analysis questions are sortable.  Take advantage of it!

Sorted by depth, our table looks like this:

 Lake Depth (meters) Volume (cubic kilometers) Surface area (square kilometers) Length of shoreline (kilometers) Daenerys 210 116 9,910 431 Tyrion 750 850 23,000 580 Khal 802 393 7,550 300 Drogo 923 1,180 22,300 1,400 Lannister 1,330 2,900 31,700 86

To find the lake with the median depth, we need to identify which lake is in the middle of the list.  Now that the table has been sorted by depth, it is clear that the lake with the median depth is Lake Khal.  Select “Yes” next to the first statement.

Question 2:  The lake whose depth is greatest also has the shoreline of greatest length.

To answer this question, we must do two things: identify the lake with the greatest depth and identify the lake with the longest shoreline.  If the two lakes are the same, then the answer to question 2 will be “Yes.”

From the first question, we know that the lake with the greatest depth is Lake Lannister.  Now, we must find the lake with the longest shoreline.  The fastest way to do this is to sort the table again by length of shoreline.

Sorted by length of shoreline, our table looks like this:

 Lake Depth (meters) Volume (cubic kilometers) Surface area (square kilometers) Length of shoreline (kilometers) Khal 802 393 7,550 300 Daenerys 210 116 9,910 431 Tyrion 750 850 23,00 580 Lannister 1,330 2,900 31,700 863 Drogo 923 1,180 22,300 1,400

Now that we’ve sorted our table by length of shoreline, we can clearly see that Lake Drogo has the longest shoreline.

Since Lake Drogo and Lake Lannister are different lakes, the lake whose depth is greatest does not also have the shoreline of the greatest length.  Select “No” next to question 2.

Question 3:  The volume of Lake Lannister is greater than that of the other 4 lakes combined

This question requires either simple math.  From the table, we know that the volume of Lake Lannister is 2,900 cubic kilometers.  All you have to do is add up the volumes of the other 4 lakes and see if their sum is greater than 2,900:

393 (Khal) + 116 (Daenerys) + 850 (Tyrion) + 1,180 (Drogo) = 2,539

Tip! Avoid using the calculator when it’s unnecessary.

Although you will have access to an on-screen calculator during the Integrated Reasoning section, avoid using the calculator unless it’s absolutely necessary.  In this case, it is fairly easy to estimate the numbers by rounding and do the calculations mentally:

400 (Khal) + 100 (Daenerys) + 900 (Tyrion) + 1,200 (Drogo) = 2,600

Since either method gives us a number less than 2,900 cubic kilometers, the volume of Lake Lannister, the answer for question 3 is “Yes.”

Your final answer should look like this:

 Yes No x The depth of Lake Khal is the median depth of the 5 lakes. x The lake whose depth is greatest also has the shoreline of greatest length. x The volume of Lake Lannister is greater than that of the other 4 lakes combined

Need more practice? Want to improve your performance on the Integrated Reasoning section and the GMAT in general?  Contact TestMasters for GMAT classes and private tutoring specialized for the new Integrated Reasoning section!

Looking for Integrated Reasoning practice? Check out the links below!

Table Analysis Example Problem #1

Table Analysis Example Problem #2

Multi-Source Reasoning Example Problem #1

Multi-Source Reasoning Example Problem #2

Two-Part Analysis Example Problem #1

Two-Part Analysis Example Problem #2

Two-Part Analysis Example Problem #3

Graphics Interpretation Example Problem #1

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