### Bookshelf

 Total GMAT Math Jeff's complete Quant guide, on sale now!
 Total GMAT Verbal Everything you need to ace GMAT Verbal!
 New: GMAT 111 Improve every aspect of your GMAT prep!

1,800 Practice Math Questions

GMAT Official Guide
OG Math | OG Verbal

Guides To the Official Guide
Free: OG12 explanations!

GMAT Question of the Day

Beginner's Guide to the GMAT

GMAT Hacks Affiliate Program

### Resources

MBA.com
GMAC Official Site
Free GMATPrep Practice Tests

Stacy Blackman Consulting
Book | Essay Guides

GRE HQ
Total GRE Math

Ultimate SAT Verbal

## Official Guide Explanation:Data Sufficiency #105

Background

This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Review (12th ed.). Click the links on the question number, difficulty level, and categories to find explanations for other problems.

These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.

Question: 105
Page: 282
Difficulty: 5 (Moderate)
Category 1: Arithmetic > Descriptive Statistics > Average
Category 2: Arithmetic > Descriptive Statistics > other

Explanation: The median of three home prices is the middle one--the price that is smaller than one of the others and larger than one of the others. Since we know the average, we know the total: \$360,000.

Statement (1) is insufficient. If Tom's house is \$110,000, the sum of the other two is \$250,000. It could be that Tom's house is the median price--for instance, if the other two are \$100,000 and \$150,000. However, one of the others could be the median if, for instance, the other two are \$120,000 and \$130,000.

Statement (2) is sufficient. If Jane's house is \$120,000, the sum of the other two is \$240,000. There are two possibilities: either all three houses are \$120,000, or the other two home prices consist of one that is greater than \$120,000 and one that is less than \$120,000. In either case, the median price is \$120,000. Choice (B) is correct.

 You should follow me on Twitter. While you're at it, take a moment to subscribe to GMAT Hacks via RSS or Email.

 Total GMAT Math The comprehensive guide to the GMAT Quant section. It's "far and away the best study material available," including over 300 realistic practice questions and more than 500 exercises! Click to read more.