40. House prices: The following table presents prices, in thousands of dollars, of single-family homes for some of the largest metropolitan areas in the United States for the third quarter of 2015 and the third quarter of 2016. Metro Area Atlanta, GA Baltimore, MD Boston, MA Chicago, IL Cincinnati, OH Cleveland, OH Dallas, TX Denver, CO Houston, TX 2015 2016 181.5 182.0 New York, NY Metro Area 254.5 265.8 Philadelphia, PA 414.6 435.8 Phoenix, AZ 286.4 250.8 Pittsburgh, PA 151.9 160.6 Portland, OR 129.7 138.1 Riverside, CA 215.2 232.2 362.9 394.4 221.1 217.4 Source: National Realtors Association. Los Angeles, CA 449.0 480.0 Seattle, WA Miami, FL 289.0 310.0 Tampa, FL Minneapolis, MN 228.0 242.4 Washington, DC 2015 2016 398.3 395.4 231.7 232.2 217.9 234.7 159.5 155.0 314.8 356.7 291.7 315.5 St. Louis, MO San Diego, CA San Francisco, CA 808.6 885.6 163.6 170.3 547.8 589.9 385.3 420.5 175.0 199.9 401.1 406.9 a. Find the population standard deviation for 2015. b. Find the population standard deviation for 2016. c. In general, house prices increased from 2015 to 2016. Did the spread in house prices increase as well, or did it decrease?

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### House Prices: An Analysis

The following table presents prices, in thousands of dollars, of single-family homes for some of the largest metropolitan areas in the United States for the third quarter of 2015 and the third quarter of 2016.

| Metro Area       | 2015  | 2016  | Metro Area        | 2015  | 2016  |
|------------------|-------|-------|-------------------|-------|-------|
| Atlanta, GA      | 181.5 | 182.0 | New York, NY      | 398.3 | 395.4 |
| Baltimore, MD    | 254.5 | 265.8 | Philadelphia, PA  | 231.7 | 232.2 |
| Boston, MA       | 414.6 | 435.8 | Phoenix, AZ       | 217.9 | 234.7 |
| Chicago, IL      | 286.4 | 250.8 | Pittsburgh, PA    | 159.5 | 155.0 |
| Cincinnati, OH   | 151.9 | 160.6 | Portland, OR      | 314.8 | 356.7 |
| Cleveland, OH    | 129.7 | 138.1 | Riverside, CA     | 291.7 | 315.5 |
| Dallas, TX       | 215.2 | 232.2 | St. Louis, MO     | 163.6 | 170.3 |
| Denver, CO       | 362.9 | 394.4 | San Diego, CA     | 547.8 | 589.9 |
| Houston, TX      | 221.1 | 217.4 | San Francisco, CA | 808.6 | 885.6 |
| Los Angeles, CA  | 449.0 | 480.0 | Seattle, WA       | 385.3 | 420.5 |
| Miami, FL        | 289.0 | 310.0 | Tampa, FL         | 175.0 | 199.9 |
| Minneapolis, MN  | 228.0 | 242.4 | Washington, DC    | 401.1 | 406.9 |

*Source: National Realtors Association*

---

### Study Questions:

**a. Find the population standard deviation for 2015.**

**b.
Transcribed Image Text:### House Prices: An Analysis The following table presents prices, in thousands of dollars, of single-family homes for some of the largest metropolitan areas in the United States for the third quarter of 2015 and the third quarter of 2016. | Metro Area | 2015 | 2016 | Metro Area | 2015 | 2016 | |------------------|-------|-------|-------------------|-------|-------| | Atlanta, GA | 181.5 | 182.0 | New York, NY | 398.3 | 395.4 | | Baltimore, MD | 254.5 | 265.8 | Philadelphia, PA | 231.7 | 232.2 | | Boston, MA | 414.6 | 435.8 | Phoenix, AZ | 217.9 | 234.7 | | Chicago, IL | 286.4 | 250.8 | Pittsburgh, PA | 159.5 | 155.0 | | Cincinnati, OH | 151.9 | 160.6 | Portland, OR | 314.8 | 356.7 | | Cleveland, OH | 129.7 | 138.1 | Riverside, CA | 291.7 | 315.5 | | Dallas, TX | 215.2 | 232.2 | St. Louis, MO | 163.6 | 170.3 | | Denver, CO | 362.9 | 394.4 | San Diego, CA | 547.8 | 589.9 | | Houston, TX | 221.1 | 217.4 | San Francisco, CA | 808.6 | 885.6 | | Los Angeles, CA | 449.0 | 480.0 | Seattle, WA | 385.3 | 420.5 | | Miami, FL | 289.0 | 310.0 | Tampa, FL | 175.0 | 199.9 | | Minneapolis, MN | 228.0 | 242.4 | Washington, DC | 401.1 | 406.9 | *Source: National Realtors Association* --- ### Study Questions: **a. Find the population standard deviation for 2015.** **b.
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