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9. The American Housing Survey is done every year by the Bureau of the Census. D

ID: 3355562 • Letter: 9

Question

9. The American Housing Survey is done every year by the Bureau of the Census. Data from the 2003 survey can be used to find the distribu- tion of occupied housing units (this includes apartments) by number of rooms. Results for the whole U.S. are shown below, separately for "owner- occupied" and "renter-occupied" units. Draw a histogram for each of the two distributions. (You may assume "10 or more means 10 or 11; very few units have more than 11 rooms (a) The owner-occupied percents add up to 100.2% while the renter- occupied percents add up to 100.0%. Why? (b) The percentage of one-room units is much smaller for owner-occupied housing. Is that because there are so many more owner-occupied units in total? Answer yes or no, and explain briefly c) Which are larger, on the whole: the owner-occupied units or the renter-occupied units? Number of rooms in unit Owner-occupied (percent) 0.0 Renter-occupied (percent) 9.7 23.3 26.4 17.5 10.4 5.0 6.4 100.2 72.2 million 2.8 22.7 34.5 22.6 10.4 3.6 1.2 0.5 0.7 100.0 33.6 million 6 9 10 or more Total Number

Explanation / Answer

(a) The addition of owner occupied rooms are greater than 100 and it is 100.2%, which is due to incorrect calculation of decimal numbers in on digit. So, the inaccuracy arises due to conversion of 2 significant numbers to 1 significant numbers after the point so that makes addition to the next digit and that causes the inaccuracy.

(b) Yes, it can fairly possible as the number of owner occupied homes are more than twice the renter occupied families so it is possible that percentage of one room units are much smaller for owner then the rent seekers.

(c) On whole, the owner occupied units are fairly larger than Renter occupied units and it is more than two times higher.