Question

a survey was conducted to determine the distribution of home sizes in the state of oregon. the data obtained was organized into the following histogram. about how many homes surveyed were larger than 3000 square feet? about how many homes surveyed were at least 5000 square feet?

Explanation:

Step1: Identify relevant bars for homes > 3000 sq - ft

The bars for home square - footage ranges 3000 - 4000, 4000 - 5000, 5000 - 6000, 6000 - 7000, and 7000 - 8000 are relevant. The frequencies for these ranges are approximately 150, 100, 50, 25, 25 respectively.

Step2: Sum the frequencies

$150 + 100+50 + 25+25=350$

Step3: Identify relevant bars for homes ≥ 5000 sq - ft

The bars for home square - footage ranges 5000 - 6000, 6000 - 7000, and 7000 - 8000 are relevant. The frequencies for these ranges are approximately 50, 25, 25 respectively.

Step4: Sum the frequencies

$50 + 25+25 = 100$

Answer:

About 350 homes were larger than 3000 square feet.
About 100 homes were at least 5000 square feet.